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introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | the reactions shown below happen twice for each glucose molecule since a glucose splits into two three-carbon molecules , both of which will eventually proceed through the pathway . step 6 . glyceraldehyde-3-phosphate , one of the three-carbon sugars formed in the initial phase , loses two electrons and two protons , r... | the steps 5 & 6 are confusing me in step 4 the aldolase enzyme break up the `` fructose-1,6-phosphate '' into gap & dhap what 's after that ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glucose-6-phosphate is more reactive than glucose , and the addition of the phosphate also traps glucose inside the cell since glucose with a phosphate can ’ t readily cross the membrane . step 2 . glucose-6-phosphate is converted into its isomer , fructose-6-phosphate . | in step 6 in the detailed payoff phase ... how after nad+ is reduced , gained 2 h+ and converted to nadh , h+ is still produced ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | what is the difference between aerobic and anaerobic glycolysis ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 3 . a phosphate group is transferred from $ \text { atp } $ to fructose-6-phosphate , producing fructose-1,6-bisphosphate . this step is catalyzed by the enzyme phosphofructokinase , which can be regulated to speed up or slow down the glycolysis pathway . | in the highlight glycolysis part , in the second last paragraph , why fructose-1,6-bisphosphate is unstable ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | at the end of glycolysis , we ’ re left with two $ \text { atp } $ , two $ \text { nadh } $ , and two pyruvate molecules . if oxygen is available , the pyruvate can be broken down ( oxidized ) all the way to carbon dioxide in cellular respiration , making many molecules of $ \text { atp } $ . you can learn how this wor... | does aerobic respiration produce more atp than anaerobic respiration ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 3 . a phosphate group is transferred from $ \text { atp } $ to fructose-6-phosphate , producing fructose-1,6-bisphosphate . this step is catalyzed by the enzyme phosphofructokinase , which can be regulated to speed up or slow down the glycolysis pathway . | what is unusual about fructose being metabolized in the liver vs other tissue types ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | are there any substances that could stop the process of glycolysis ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glycolysis takes place in the cytosol of a cell , and it can be broken down into two main phases : the energy-requiring phase , above the dotted line in the image below , and the energy-releasing phase , below the dotted line . energy-requiring phase . in this phase , the starting molecule of glucose gets rearranged , ... | that means the phosphofructokinase spends energy to work , right ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glycolysis takes place in the cytosol of a cell , and it can be broken down into two main phases : the energy-requiring phase , above the dotted line in the image below , and the energy-releasing phase , below the dotted line . energy-requiring phase . in this phase , the starting molecule of glucose gets rearranged , ... | so why the amount of energy spent by that is not mentioned here ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | this step is catalyzed by the enzyme phosphofructokinase , which can be regulated to speed up or slow down the glycolysis pathway . step 4 . fructose-1,6-bisphosphate splits to form two three-carbon sugars : dihydroxyacetone phosphate ( $ \text { dhap } $ ) and glyceraldehyde-3-phosphate . | however , are n't there 4 h+ ions in the end result ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | there are two basic ways of accomplishing this . when oxygen is present , $ \text { nadh } $ can pass its electrons into the electron transport chain , regenerating $ \text { nad } ^+ $ for use in glycolysis . ( added bonus : some $ \text { atp } $ gets made ! ) | 2 questions ... 1-how does nadh pass its electrons to the electron transport chain ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glucose-6-phosphate is more reactive than glucose , and the addition of the phosphate also traps glucose inside the cell since glucose with a phosphate can ’ t readily cross the membrane . step 2 . glucose-6-phosphate is converted into its isomer , fructose-6-phosphate . | 2-why is phosphofructokinase the rate limiting step ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 9 . 2-phosphoglycerate loses a molecule of water , becoming phosphoenolpyruvate ( $ \text { pep } $ ) . $ \text { pep } $ is an unstable molecule , poised to lose its phosphate group in the final step of glycolysis . | is the structure of phosphoenolpyruvate shown wrong ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 6 . glyceraldehyde-3-phosphate , one of the three-carbon sugars formed in the initial phase , loses two electrons and two protons , reducing $ \text { nad } ^+ $ to $ \text { nadh } $ and producing an $ \text { h } ^+ $ . this reaction releases energy , which is used to attach another phosphate to the sugar , form... | `` glyceraldehyde-3-phosphate , one of the three-carbon sugars formed in the initial phase , loses two electrons and two protons '' why do n't i see the lost protons & electrons ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | the phosphate groups make the modified sugar—now called fructose-1,6-bisphosphate—unstable , allowing it to split in half and form two phosphate-bearing three-carbon sugars . because the phosphates used in these steps come from $ \text { atp } $ , two $ \text { atp } $ molecules get used up . the three-carbon sugars fo... | if glycolysis is the beginning stage of atp production , then where did the 2 atps used at the start of the process came from , since the atp has not been made yet ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | if oxygen is available , the pyruvate can be broken down ( oxidized ) all the way to carbon dioxide in cellular respiration , making many molecules of $ \text { atp } $ . you can learn how this works in the videos and articles on pyruvate oxidation , the citric acid cycle , and oxidative phosphorylation . what happens ... | if a cell performs glycolysis then the citric acid cycle , what do you know is in the environment ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | the phosphate groups make the modified sugar—now called fructose-1,6-bisphosphate—unstable , allowing it to split in half and form two phosphate-bearing three-carbon sugars . because the phosphates used in these steps come from $ \text { atp } $ , two $ \text { atp } $ molecules get used up . the three-carbon sugars fo... | to generalize this can i simply look at the fact atp is being created so somehow electrons were harvested ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | in these pathways , $ \text { nadh } $ donates its electrons to an acceptor molecule in a reaction that doesn ’ t make $ \text { atp } $ but does regenerate $ \text { nad } ^+ $ so glycolysis can continue . this process is called fermentation , and you can learn more about it in the fermentation videos . fermentation i... | what is the relationship of the levels co2 production , sugar , and alcohol or lactic acid in fermentation ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | glycemic index is a measure of how fast the enzymes are allowing glycolysis to happen , right ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glycolysis is an ancient metabolic pathway , meaning that it evolved long ago , and it is found in the great majority of organisms alive today $ ^ { 2,3 } $ . in organisms that perform cellular respiration , glycolysis is the first stage of this process . however , glycolysis doesn ’ t require oxygen , and many anaerob... | when in cellular respiration is fad reduced ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | this step is catalyzed by the enzyme phosphofructokinase , which can be regulated to speed up or slow down the glycolysis pathway . step 4 . fructose-1,6-bisphosphate splits to form two three-carbon sugars : dihydroxyacetone phosphate ( $ \text { dhap } $ ) and glyceraldehyde-3-phosphate . they are isomers of each othe... | in step 6 , after nad+ turns into nadh , where does glyceraldehyde-3-phosphate get a phosphate to turn form 1,3-bisphosphoglycerate ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | in these reactions , two $ \text { atp } $ molecules and one $ \text { nadh } $ molecule are made . because this phase takes place twice , once for each of the two three-carbon sugars , it makes four $ \text { atp } $ and two $ \text { nadh } $ overall . each reaction in glycolysis is catalyzed by its own enzyme . | what phase takes place twice and why ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 3 . a phosphate group is transferred from $ \text { atp } $ to fructose-6-phosphate , producing fructose-1,6-bisphosphate . this step is catalyzed by the enzyme phosphofructokinase , which can be regulated to speed up or slow down the glycolysis pathway . | is it fructose - 1,6 - bisphosphate o fructose - 1,6 - biphosphate ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | $ \text { pep } $ readily donates its phosphate group to $ \text { adp } $ , making a second molecule of $ \text { atp } $ . as it loses its phosphate , $ \text { pep } $ is converted pyruvate , the end product of glycolysis . what happens to pyruvate and $ \text { nadh } $ ? at the end of glycolysis , we ’ re left wit... | what happens to pyruvate after glycolysis ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 2 . glucose-6-phosphate is converted into its isomer , fructose-6-phosphate . step 3 . | why is glucose isomerised into fructose ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | step 1 . a phosphate group is transferred from $ \text { atp } $ to glucose , making glucose-6-phosphate . glucose-6-phosphate is more reactive than glucose , and the addition of the phosphate also traps glucose inside the cell since glucose with a phosphate can ’ t readily cross the membrane . step 2 . | why doesnt the reaction continue with glucose ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glycolysis takes place in the cytosol of a cell , and it can be broken down into two main phases : the energy-requiring phase , above the dotted line in the image below , and the energy-releasing phase , below the dotted line . energy-requiring phase . in this phase , the starting molecule of glucose gets rearranged , ... | in the first phase , energy gaining phase , how is glucose being rearranged ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | does glycolysis affect the environment in anyway ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | it ca n't just sit around in the cell , piling up . that 's because cells have only a certain number of $ \text { nad } ^+ $ molecules , which cycle back and forth between oxidized ( $ \text { nad } ^+ $ ) and reduced ( $ \text { nadh } $ ) states : $ \text { \blue { nad } } ^+ $ $ + $ $ 2\text { e } ^- $ $ + $ $ 2 \te... | when nad+ becomes nadh and h+ , where does the extra h+ go ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | what happens in humans if glycolysis does n't work ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | in organisms that perform cellular respiration , glycolysis is the first stage of this process . however , glycolysis doesn ’ t require oxygen , and many anaerobic organisms—organisms that do not use oxygen—also have this pathway . highlights of glycolysis glycolysis has ten steps , and depending on your interests—and ... | which steps in glycolysis are altered in absence of oxygen ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | the glycolysis needs 2 atp to start ( and the feeding also needs atp from glycolysis so we ca n't say that first we feed and then breath ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | glycolysis is an ancient metabolic pathway , meaning that it evolved long ago , and it is found in the great majority of organisms alive today $ ^ { 2,3 } $ . in organisms that perform cellular respiration , glycolysis is the first stage of this process . however , glycolysis doesn ’ t require oxygen , and many anaerob... | , where were that atp taken from in the case of the first organisms ever created ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | phosphofructokinase speeds up or slows down glycolysis in response to the energy needs of the cell . overall , glycolysis converts one six-carbon molecule of glucose into two three-carbon molecules of pyruvate . the net products of this process are two molecules of $ \text { atp } $ ( $ 4 $ $ \text { atp } $ produced $... | so glycolysis , in summary , is the conversion of glucose to pyruvate ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | as it loses its phosphate , $ \text { pep } $ is converted pyruvate , the end product of glycolysis . what happens to pyruvate and $ \text { nadh } $ ? at the end of glycolysis , we ’ re left with two $ \text { atp } $ , two $ \text { nadh } $ , and two pyruvate molecules . | how does the nad+/nadh ratio in the cell determine the fate of pyruvate ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | what is relationship between glycolysis and fermentation ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | how does glycolysis relate to cheesemaking ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | you can learn how this works in the videos and articles on pyruvate oxidation , the citric acid cycle , and oxidative phosphorylation . what happens to the $ \text { nadh } $ ? it ca n't just sit around in the cell , piling up . | what is the difference between nadh.h+ and nadh2 ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | it ca n't just sit around in the cell , piling up . that 's because cells have only a certain number of $ \text { nad } ^+ $ molecules , which cycle back and forth between oxidized ( $ \text { nad } ^+ $ ) and reduced ( $ \text { nadh } $ ) states : $ \text { \blue { nad } } ^+ $ $ + $ $ 2\text { e } ^- $ $ + $ $ 2 \te... | nad+ +2e +2h+ = nadh +h+ my question is why h+ not cancle out at the right and left side , where is 1 more electron gone ? |
introduction suppose that we gave one molecule of glucose to you and one molecule of glucose to lactobacillus acidophilus—the friendly bacterium that turns milk into yogurt . what would you and the bacterium do with your respective glucose molecules ? overall , the metabolism of glucose in one of your cells would be pr... | yet , the first steps would be the same in both cases : both you and the bacterium would need to split the glucose molecule in two by putting it through glycolysis $ ^1 $ . what is glycolysis ? glycolysis is a series of reactions that and extract energy from glucose by splitting it into two three-carbon molecules calle... | how does the cell get glycolysis going ? |
first class after his 8-year-old daughter kitty finished the school year and he closed his fifth avenue art gallery for the summer , alfred stieglitz gathered her , his wife emmeline , and kitty ’ s governess for their second excursion to europe as a family . the stieglitzes departed for paris on may 14 , 1907 , aboard... | while he was sympathetic to the plight of aspiring new arrivals , stieglitz was opposed to admitting the uneducated and marginal to the united states of america—despite his claims of sentiment for the downtrodden . perhaps this may explain his preference to avoid addressing the subject of the steerage , and to see in t... | why is it considered art ? |
first class after his 8-year-old daughter kitty finished the school year and he closed his fifth avenue art gallery for the summer , alfred stieglitz gathered her , his wife emmeline , and kitty ’ s governess for their second excursion to europe as a family . the stieglitzes departed for paris on may 14 , 1907 , aboard... | first class after his 8-year-old daughter kitty finished the school year and he closed his fifth avenue art gallery for the summer , alfred stieglitz gathered her , his wife emmeline , and kitty ’ s governess for their second excursion to europe as a family . the stieglitzes departed for paris on may 14 , 1907 , aboard... | is the first photo a artwork or a photo ? |
gehry 's guggenheim prior to the mid-20th century , art museums in europe and the united states were mostly designed in variants of the neo-classical style . from the louvre in paris to the national gallery of art in washington , d.c. ( below left ) , large and small cultural institutions commissioned stately stone str... | gehry 's guggenheim prior to the mid-20th century , art museums in europe and the united states were mostly designed in variants of the neo-classical style . from the louvre in paris to the national gallery of art in washington , d.c. ( below left ) , large and small cultural institutions commissioned stately stone str... | what role does the light from the resulting unique windows play ? |
gehry 's guggenheim prior to the mid-20th century , art museums in europe and the united states were mostly designed in variants of the neo-classical style . from the louvre in paris to the national gallery of art in washington , d.c. ( below left ) , large and small cultural institutions commissioned stately stone str... | from the absence of historical references to the focus on a central rotunda or atrium—albeit in bilbao on a much larger scale—both architects produced unrestrained modern spaces of great architectural force and energy . a personal aesthetic gehry , who started his career in the 1960s , developed a personal aesthetic gr... | is the effect of the light on the structure also part of his personal aesthetic ? |
gehry 's guggenheim prior to the mid-20th century , art museums in europe and the united states were mostly designed in variants of the neo-classical style . from the louvre in paris to the national gallery of art in washington , d.c. ( below left ) , large and small cultural institutions commissioned stately stone str... | at this point in his prolific career , frank gehry had a number of cultural institutions to his credit and was developing an international reputation for producing consistently innovative work . born in toronto , canada , in 1929 , this los angeles-based architect received the prestigious pritzker architecture prize in... | or is it merely a side effect of the architecture ? |
like the other broad regions we 've looked at in this tutorial , the middle east is home to a rich history of art , reflecting the histories and diversity of its individual cultures . among artists who embraced and further developed the modernist tradition in the middle east is saloua raouda choucair , a pioneer in her... | it is characterised by an experimental approach to materials alongside an elegant use of modular forms , lines and curves drawn from the traditions of islamic design . poem wall was created in beirut , her home town , and both its form and title give it an architectural flavour . the painted interlocking forms mutually... | does anyone know what the poem wall means ? |
stem and leaf plots a stem and leaf plot displays numerical data by splitting each data point into a `` leaf '' ( usually the last digit ) and a `` stem '' ( the leading digit or digits ) . for example , the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a ste... | stem and leaf plots a stem and leaf plot displays numerical data by splitting each data point into a `` leaf '' ( usually the last digit ) and a `` stem '' ( the leading digit or digits ) . for example , the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a ste... | for example if we have numbers that include 3 or more digits , how many would we include in the leaf and stem ? |
stem and leaf plots a stem and leaf plot displays numerical data by splitting each data point into a `` leaf '' ( usually the last digit ) and a `` stem '' ( the leading digit or digits ) . for example , the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a ste... | here is the dataset and the stem and leaf plot : dataset : $ 17 $ , $ 18 $ , $ 20 $ , $ 25 $ , $ 28 $ , $ 34 $ , $ 34 $ , $ 37 $ , $ 38 $ , $ 50 $ stem and leaf plot : $ \begin { align } & amp ; 1~~|~~7~~8\ & amp ; 2~~|~~0~~5~~8\ & amp ; 3~~|~~4~~4~~7~~8\ & amp ; 4~~|\ & amp ; 5~~|~~0\ \end { align } $ key : $ 1~|~8 $ ... | hi can you give an example of comparing stem plots ? |
stem and leaf plots a stem and leaf plot displays numerical data by splitting each data point into a `` leaf '' ( usually the last digit ) and a `` stem '' ( the leading digit or digits ) . for example , the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a ste... | stem and leaf plots a stem and leaf plot displays numerical data by splitting each data point into a `` leaf '' ( usually the last digit ) and a `` stem '' ( the leading digit or digits ) . for example , the buyer for a chain of department stores counted the number of pairs of boots at each of the stores and made a ste... | are stem-and-leaf and stem and leaf both gramatically correct ways of saying the same thing ? |
elegant stacked domes , reaching to the heavens , and towering , slender pencil minarets characterize ottoman mosque architecture . few mosques , however , are as visually stunning and architecturally significant as the selimiye complex in edirne built by the greatest of all ottoman architects , if not one of the great... | it measures 190 x 130 meters ( or more than the length of two football fields ) and is composed of a mosque , two symmetrical square madrasas ( one of which served as a college for studying the hadiths , or traditions of the prophet muhammad ) , and there was a row of shops ( arasta ) and a school for learning the reci... | does anyone know from which region comes mimar sinan ? |
elegant stacked domes , reaching to the heavens , and towering , slender pencil minarets characterize ottoman mosque architecture . few mosques , however , are as visually stunning and architecturally significant as the selimiye complex in edirne built by the greatest of all ottoman architects , if not one of the great... | this loss prevented further ottoman expansion along the european coast of the mediterranean . the mosque ’ s inscriptions focus on a central difference between islam and christianity—mainly that allah ( god ) is indivisible and that the prophet muhammad is god ’ s human messenger . certain passages from the hadiths wer... | can you please explain the difference between a squinch and a pendentive ? |
six men , one purpose have you ever been at a gathering surrounded by people and yet , felt completely and utterly alone ? if you are familiar with those emotions - abandonment , loneliness , devastation— remember what it feels like and then take another look at the above sculpture by auguste rodin . in 1885 , rodin wa... | as a result , rodin set a standard for artists who came after him and his burghers of calais became one of his most well-known and studied works . essay by elisabeth rowney additional resources chronology of rodin 's life from the musée rodin the burghers of calais on the metropolitan museum of art 's timeline of art h... | the sort of `` rough hewn '' style of sculpture that i believe was invented by rodin looks to have served as inspiration to sculptors such as alberto giacometti and giacometti 's own `` rough '' style , is that correct that giacometti was influenced by rodin ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | $ ( \purpled { 3 \times 2 } ) \times 5 = 30 $ and $ 3 \times ( \greend { 2 \times 5 } ) = 30 $ we got the same product even though we grouped the numbers two different ways . equivalent expressions we can use the associative property to find expressions that are equivalent . let 's start with the expression $ 2 \times ... | does the associative property happen in real life situations ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . | how do i know when to multiply the numbers inside the parenthesis by the number outside as we did in distributive properties ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . | is the order staying the same what matters in associateive ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | $ ( \purpled { 3 \times 2 } ) \times 5 = 30 $ and $ 3 \times ( \greend { 2 \times 5 } ) = 30 $ we got the same product even though we grouped the numbers two different ways . equivalent expressions we can use the associative property to find expressions that are equivalent . let 's start with the expression $ 2 \times ... | what 's the difference between the associative property and the commutative property ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | regrouping does not change the answer ! $ ( \teald { 3 } \times \goldd { 2 } ) \times \purpled { 4 } = \teald { 3 } \times ( \goldd { 2 } \times \purpled { 4 } ) $ associative property the math rule that allows us to regroup numbers in a multiplication problem without changing the answer is the associative property . l... | what clue could associative property help us ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | regrouping does not change the answer ! $ ( \teald { 3 } \times \goldd { 2 } ) \times \purpled { 4 } = \teald { 3 } \times ( \goldd { 2 } \times \purpled { 4 } ) $ associative property the math rule that allows us to regroup numbers in a multiplication problem without changing the answer is the associative property . l... | does associative property apply when there are 4 factors in an equation ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | we can group this expression two ways that are both equivalent to $ 2 \times 2 \times 5 $ : $ ( \blued { 2 \times 2 } ) \times 5 $ $ 2 \times ( \goldd { 2 \times 5 } ) $ by evaluating each expression step by step we can find other expressions that are also equivalent . $ ( \blued { 2 \times 2 } ) \times 5 = \blued { 4 ... | for example , 2 x 4 x 5 x 10 ... are you applying associative property if you move the numbers around and group them differently , say ( 2 x 5 ) x 10 x 4 or does that demonstrate commutative property ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | $ \phantom { = } ( \blued { 5 \times 4 } ) \times 2 $ $ = \blued { 20 } \times 2 $ $ = 40 $ now let 's group the $ \purpled { 4 } $ and the $ \purpled { 2 } $ together . $ \phantom { = } 5 \times ( \purpled { 4 \times 2 } ) $ $ =5 \times \purpled { 8 } $ $ =40 $ we got the same product even though the numbers were grou... | 8x ( 3x2 ) = 8 x 6 = 48 is this the process ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | $ ( \teald { 3 } \times \goldd { 2 } ) \times \purpled { 4 } = \teald { 3 } \times ( \goldd { 2 } \times \purpled { 4 } ) $ associative property the math rule that allows us to regroup numbers in a multiplication problem without changing the answer is the associative property . let 's group the numbers in the following... | if we do n't want to multiply a two digit number to get the final product how should we group the numbers ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | let 's group the numbers in the following multiplication problem two different ways and show that we get the same product both ways . $ 5 \times 4 \times 2 $ let 's start by grouping the $ \blued { 5 } $ and the $ \blued { 4 } $ together . we can evaluate the expression step by step . | why do we need 5,000 point to vote ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | $ ( \teald { 3 } \times \goldd { 2 } ) \times \purpled { 4 } = \teald { 3 } \times ( \goldd { 2 } \times \purpled { 4 } ) $ associative property the math rule that allows us to regroup numbers in a multiplication problem without changing the answer is the associative property . let 's group the numbers in the following... | why is the third question wrong when i put the two right answers ? |
grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . this image shows the same $ \teald { 3 } \times \goldd { 2 } $ array copied $ \purpled { 4 } $ times . we use the expression $ ( \teald ... | grouping numbers the image shows $ \teald { 3 } $ rows with $ \goldd { 2 } $ dots in each row . we can use the expression $ \teald { 3 } \times \goldd { 2 } $ to represent the array . | how do we do fractions with thousands numbers ? |
why is it important to study latin american art today ? the study of latin america and latin american art is more relevant today than ever . in the united states , the burgeoning population of latinos—people of latin american descent—and consequently the rise of spanish ( and spanglish ) speakers , latino musical genre... | why is it important to study latin american art today ? the study of latin america and latin american art is more relevant today than ever . in the united states , the burgeoning population of latinos—people of latin american descent—and consequently the rise of spanish ( and spanglish ) speakers , latino musical genre... | given that parts of canada speak french , a language derived from latin , why is canadian and in particular indigenous art from canada never mentioned as latin american art ? |
why is it important to study latin american art today ? the study of latin america and latin american art is more relevant today than ever . in the united states , the burgeoning population of latinos—people of latin american descent—and consequently the rise of spanish ( and spanglish ) speakers , latino musical genre... | while the term `` western art '' refers largely to europe and north america , whose artistic tradition looks back to the classicism of the ancient greeks and romans , the term `` non-western art '' includes everything else . this distinction has plagued latin american art , since—except for pre-columbian art—it mostly ... | under what category is canadian indigenous art categorized ? |
why is it important to study latin american art today ? the study of latin america and latin american art is more relevant today than ever . in the united states , the burgeoning population of latinos—people of latin american descent—and consequently the rise of spanish ( and spanglish ) speakers , latino musical genre... | why is it important to study latin american art today ? the study of latin america and latin american art is more relevant today than ever . in the united states , the burgeoning population of latinos—people of latin american descent—and consequently the rise of spanish ( and spanglish ) speakers , latino musical genre... | why is the art of diego rivera , frida and others `` marginalized '' even in some parts of latin america ? |
one book , thousands of illustrations imagine a children ’ s illustrated bible . there might be 2-3 illustrations for each story : adam and eve in the garden , noah ’ s ark , daniel in the lion ’ s den , and others . if you open a regular copy of the bible , each of these stories are covered in several pages of densely... | illustrations like this tried to convince christian readers that although jews were once god ’ s people , as outlined in the hebrew bible/old testament , that medieval jews had turned away from that role . this kind of anti-semitic message promoted hate and violence toward jews in the later middle ages . essay by dr. n... | what reason ( or incentive ) did the church have for promoting anti-semitic messages ? |
one book , thousands of illustrations imagine a children ’ s illustrated bible . there might be 2-3 illustrations for each story : adam and eve in the garden , noah ’ s ark , daniel in the lion ’ s den , and others . if you open a regular copy of the bible , each of these stories are covered in several pages of densely... | one book , thousands of illustrations imagine a children ’ s illustrated bible . there might be 2-3 illustrations for each story : adam and eve in the garden , noah ’ s ark , daniel in the lion ’ s den , and others . | was it common in medieval bible illustrations ? |
aldol and retro-aldol are two important classes of chemical reactions , occasionally encountered in biochemistry too . as illustrated above , you will witness aldol and retro-aldol reaction mechanisms in the following biochemical reactions : the first step of kreb ’ s cycle ( commonly also referred to as the ‘ citric a... | step 2 : the enolate of acetaldehyde ( formed in step 1 ) attacks the electrophilic carbonyl carbon of the second molecule of acetaldehyde . step 3 : protonation of the product formed in step 2 to form an aldol product . as you can see , the above product contains both an aldehyde and an alcohol functional group , thus... | in step 3 ( protonation to form an aldol product ) of the first aldol reaction , should n't the arrow be going from the o- to the hydrogen in the water ? |
aldol and retro-aldol are two important classes of chemical reactions , occasionally encountered in biochemistry too . as illustrated above , you will witness aldol and retro-aldol reaction mechanisms in the following biochemical reactions : the first step of kreb ’ s cycle ( commonly also referred to as the ‘ citric a... | it is important to emphasize that aldol reactions are highly reversible in nature ; in most cases , the energy levels of reactants and products are not very different . thus , depending on the metabolic conditions , aldolases can also catalyze retro-aldol reactions ( i.e . the reverse of aldol reactions , in which a ca... | what increases the basil metabolic rate in an individual ? |
lindisfarne gospels , st. matthew ( detail ) , second initial page , f.29 , early 8th century ( british library ) a medieval monk takes up a quill pen , fashioned from a goose feather , and dips it into a rich , black ink made from soot . seated on a wooden chair in the scriptorium of lindisfarne , an island off the co... | lindisfarne gospels , st. matthew ( detail ) , second initial page , f.29 , early 8th century ( british library ) a medieval monk takes up a quill pen , fashioned from a goose feather , and dips it into a rich , black ink made from soot . seated on a wooden chair in the scriptorium of lindisfarne , an island off the co... | how were the different coloured inks made ? |
lindisfarne gospels , st. matthew ( detail ) , second initial page , f.29 , early 8th century ( british library ) a medieval monk takes up a quill pen , fashioned from a goose feather , and dips it into a rich , black ink made from soot . seated on a wooden chair in the scriptorium of lindisfarne , an island off the co... | above his halo flies a blue-winged calf , its two eyes turned toward the viewer with its body in profile . the bovine clasps a green parallelogram between two forelegs , a reference to the gospel . according to the historian bede from the nearby monastery in monkwearmouth ( d. 735 ) , this calf , or ox , symbolizes chr... | also , how is a green parallelogram a reference to the gospels ? |
transcript of the trial : on saturday , july 18 , 1573 , paolo caliari veronese who lives in the parish of san samuele , venice was summoned to appear before the holy tribunal by the holy office [ the inquisition ] , there he stated his name when asked . when asked what he did for a living , he responded , “ i paint an... | inquisition : is it painted on the wall , on wood , or on canvas ? veronese : canvas . inquisition : how tall is it ? | did the inquisition have a sketch or copy of some kind of this painting as they were going over it with veronese ? |
transcript of the trial : on saturday , july 18 , 1573 , paolo caliari veronese who lives in the parish of san samuele , venice was summoned to appear before the holy tribunal by the holy office [ the inquisition ] , there he stated his name when asked . when asked what he did for a living , he responded , “ i paint an... | veronese : below the owner of the inn , simon , i put a carver , he came , i guess , for his own amusement , to observe the goings-on at the table . there are many other figures but i can not remember , its been a long time since i finished the painting . inquisition : what was your intent regarding the man whose nose ... | `` ... so i assume they are looking at a draft or sketch of some sort and not standing in front of the painting itself , is that correct ? |
transcript of the trial : on saturday , july 18 , 1573 , paolo caliari veronese who lives in the parish of san samuele , venice was summoned to appear before the holy tribunal by the holy office [ the inquisition ] , there he stated his name when asked . when asked what he did for a living , he responded , “ i paint an... | veronese : in the pope ’ s chapel in rome , michelangelo rendered our lord , jesus christ , his mother , saint john and saint peter , and the court of heaven , all nude , including the virgin mary , in the midst movements without decorum . inquisition : do n't you understand that in a painting of the last judgment , cl... | is there a reason why some articles are able to expand when clicked and others do n't ? |
transcript of the trial : on saturday , july 18 , 1573 , paolo caliari veronese who lives in the parish of san samuele , venice was summoned to appear before the holy tribunal by the holy office [ the inquisition ] , there he stated his name when asked . when asked what he did for a living , he responded , “ i paint an... | veronese : below the owner of the inn , simon , i put a carver , he came , i guess , for his own amusement , to observe the goings-on at the table . there are many other figures but i can not remember , its been a long time since i finished the painting . inquisition : what was your intent regarding the man whose nose ... | what became of the painting ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | 45-45-90 triangles a 45-45-90 triangle is a right triangle with two $ 45^\circ $ degree angles . the trigonometric ratios of $ 30^\circ $ we are now ready to evaluate the trig functions of these special angles . let 's start with $ 30^\circ $ . | can these trigonometric rations of special triangles be used for finding the trigonometric ratios for other angles like 50 degrees ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | what all ratios do i need to remember for the sat to do stuff fast without wasting my time on the calculator ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | step 3 : use the definition of the trigonometric ratios to find the value of the indicated expression . $ \begin { align } \sin ( 30^\circ ) & amp ; = \dfrac { \text { opposite } } { \text { hypotenuse } } \\ & amp ; = \dfrac { x } { 2x } \\ & amp ; = \dfrac { 1\maroond { \cancel { x } } } { 2\maroond { \cancel { x } }... | in the second video , when khan does the princibe root of sqrt2x^2 and c^2 , how come the x goes outside and the two is left in ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | $ \begin { align } \sin ( 30^\circ ) & amp ; = \dfrac { \text { opposite } } { \text { hypotenuse } } \\ & amp ; = \dfrac { x } { 2x } \\ & amp ; = \dfrac { 1\maroond { \cancel { x } } } { 2\maroond { \cancel { x } } } \\ & amp ; =\dfrac { 1 } { 2 } \end { align } $ note that you can think of $ x $ as $ 1 x $ so that i... | what are the sin , cos and tan of 90 degrees ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 triangle and the 30-60-90 triangle . the special triangles 30-60-90 triangles a 30-60-90 triangle is a right triangle with a $ 30^\circ $ degree angle and a $ 60^\circ $ degree angle . 45-45-90 triangles a 4... | does the order of the 30 degrees 60 degres and 90 degrees and a 30-60-90 right triangle have to correspond with certain side lenghts ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 triangle and the 30-60-90 triangle . | is the side opposite to 30 degrees always the shorter side ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | the table below summarizes our results . | $ \cos ( \theta ) $ | $ \sin ( \theta ) $ | $ \tan ( \theta ) $ : - : | : - : | : - : | : - : $ \theta =30^\circ $ | $ \greend { \dfrac { \sqrt { 3 } } { 2 } } $ | $ \greend { \dfrac12 } $ | $ \greend { \dfrac { \sqrt { 3 } } { 3 } } $ $ \theta = 45^\circ $ | $ \purplec { \dfr... | sal says that if the shortest side is x=1 , then the side opposite to the 60 degree angle is the square root of 3. i understand that the square root of 3 times one is the square root of 3 , but where did the 'divided by 2 ' bit go ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | the table below summarizes our results . | $ \cos ( \theta ) $ | $ \sin ( \theta ) $ | $ \tan ( \theta ) $ : - : | : - : | : - : | : - : $ \theta =30^\circ $ | $ \greend { \dfrac { \sqrt { 3 } } { 2 } } $ | $ \greend { \dfrac12 } $ | $ \greend { \dfrac { \sqrt { 3 } } { 3 } } $ $ \theta = 45^\circ $ | $ \purplec { \dfr... | should n't it be the square root of 3 divided by 2 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 triangle and the 30-60-90 triangle . the special triangles 30-60-90 triangles a 30-60-90 triangle is a right triangle with a $ 30^\circ $ degree angle and a $ 60^\circ $ degree angle . 45-45-90 triangles a 4... | how do you know or prove that in that specific triangle the when the angle is 30-60-90 the hyp is 2x , the opp is x and the adj is x square root of 2 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . | how is this axiom formed ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . | is the any empirical observation ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | these two triangles are the 45-45-90 triangle and the 30-60-90 triangle . the special triangles 30-60-90 triangles a 30-60-90 triangle is a right triangle with a $ 30^\circ $ degree angle and a $ 60^\circ $ degree angle . 45-45-90 triangles a 45-45-90 triangle is a right triangle with two $ 45^\circ $ degree angles . | how do interpret what `` sine 39.5 degree mean ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | the table below summarizes our results . | $ \cos ( \theta ) $ | $ \sin ( \theta ) $ | $ \tan ( \theta ) $ : - : | : - : | : - : | : - : $ \theta =30^\circ $ | $ \greend { \dfrac { \sqrt { 3 } } { 2 } } $ | $ \greend { \dfrac12 } $ | $ \greend { \dfrac { \sqrt { 3 } } { 3 } } $ $ \theta = 45^\circ $ | $ \purplec { \dfr... | why is it so difficult for me to write the answer `` the square root of 3 divided by 2 '' ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | the trigonometric ratios of 60 $ ^\circ $ the process of deriving the trigonometric ratios for the special angles $ 30^\circ $ , $ 45^\circ $ , and $ 60^\circ $ is the same . while we have not yet explicitly shown how to find the trigonometric ratios of $ 60^\circ $ , we have all of the information we need ! a summary ... | why is it impossible to find the trig ratios for 300 degrees in quadrant 4 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 triangle and the 30-60-90 triangle . the special triangles 30-60-90 triangles a 30-60-90 triangle is a right triangle with a $ 30^\circ $ degree angle and a $ 60^\circ $ degree angle . 45-45-90 triangles a 4... | how do you know or prove that in that specific triangle the when the angle is 30-60-90 the hyp is 2x , the opp is x and the adj is x square root of 2 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . | how is this axiom formed ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . | is the any empirical observation ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | step 3 : use the definition of the trigonometric ratios to find the value of the indicated expression . $ \begin { align } \sin ( 30^\circ ) & amp ; = \dfrac { \text { opposite } } { \text { hypotenuse } } \\ & amp ; = \dfrac { x } { 2x } \\ & amp ; = \dfrac { 1\maroond { \cancel { x } } } { 2\maroond { \cancel { x } }... | hi , how does x over x to square root of 2 , become square root of 2 over 2 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | $ \begin { align } \sin ( 30^\circ ) & amp ; = \dfrac { \text { opposite } } { \text { hypotenuse } } \\ & amp ; = \dfrac { x } { 2x } \\ & amp ; = \dfrac { 1\maroond { \cancel { x } } } { 2\maroond { \cancel { x } } } \\ & amp ; =\dfrac { 1 } { 2 } \end { align } $ note that you can think of $ x $ as $ 1 x $ so that i... | in the summarized table , why is the order cos , sin , tan , instead of the common order sin , cos , tan ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | step 3 : use the definition of the trigonometric ratios to find the value of the indicated expression . $ \begin { align } \sin ( 30^\circ ) & amp ; = \dfrac { \text { opposite } } { \text { hypotenuse } } \\ & amp ; = \dfrac { x } { 2x } \\ & amp ; = \dfrac { 1\maroond { \cancel { x } } } { 2\maroond { \cancel { x } }... | why x^2 turns into 4x^2/4 ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . | what does `` thata '' mean ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | because of this , it is helpful to know them . some people choose to memorize these values , but memorization is not necessary . in this article , you derived the values yourself , so hopefully you can re-derive them whenever you need them in the future . | why are all the trig values for these triangles all the same ? |
until now , we have used the calculator to evaluate the sine , cosine , and tangent of an angle . however , it is possible to evaluate the trig functions for certain angles without using a calculator . this is because there are two special triangles whose side ratios we know ! these two triangles are the 45-45-90 trian... | 45-45-90 triangles a 45-45-90 triangle is a right triangle with two $ 45^\circ $ degree angles . the trigonometric ratios of $ 30^\circ $ we are now ready to evaluate the trig functions of these special angles . let 's start with $ 30^\circ $ . | how are you suppose to pass the special angles test ? |
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