text stringlengths 6 976k | token_count float64 677 677 | cluster_id int64 1 1 |
|---|---|---|
Angles/497223: I have two parallel lines with a transversal running through it. At the top (the lines are horizontal and the transversal is vertical) i have to find the measure of an angle coming of the top parallel line. The information i have to find it is that it equals 4x-30. How should i do this?? 1 solutions Answ... | 677.169 | 1 |
Euclidean & Non-Euclidean Geometries Part 2 How geometrical ideas originally were fashioned (without deductive logic), what the Greeks did to formalize geometry, and what some of our basic concepts will be. (Definitions, axioms or postulates, logic, theorems. Do they yield reality?) The two parallelograms that I drew d... | 677.169 | 1 |
Nevertheless, if one takes the text strictly for its academic merits, One
Fold Circle is a very original and insightful look at one of geometry's most interesting subjects. While the circle (and associated folds) might not explain the nature of the universe, they certainly can help kids learn about proportions, ratios,... | 677.169 | 1 |
Midpoints of Segments Lesson Packet lesson develops the concept of the midpoint of a segment and then builds slowly upon the concept so that students will be able to set up algebraic equations to find lengths of segments. Students will be engaged in hands on and minds on learning.
Compressed Zip File
Be sure that you h... | 677.169 | 1 |
Three-Dimensional Figures
In this lesson our instructor talks about three-dimensional figures. First she discusses polyhedons and solids. Then she talks about prisms, platonic solids, slices and cross sections. Four extra example videos round up this lesson.
This content requires Javascript to be available and enabled ... | 677.169 | 1 |
This long equation is derived with the formulation s1+2*s2=a
and by using Pythagoras' formula twice.
......
The distance of the fixed points is c=5 and the sum a=12.
The equation is now
2304((5-x)²+y²) - (3x²+3y²-40x+44)²=0.
..............
The graph from above is incomplete. Surprisingly the equation 2304((5-x)²+y²)-(3... | 677.169 | 1 |
line at B and the circle at C. If you draw then a vertical line through
C and a horizontal line through B (green), they meet at P.
>If the point C moves along the circle, then the points P lies on a
egg shaped curve (animation on the right).
See more: (13), Jan Wassenaar (Granville's egg, URL below), Torsten
Sillke (Gr... | 677.169 | 1 |
Parabolas Related Terms
Parabolas Word Problems
Submit your word problem:
Grade Level: Subject:
Many students find parabolas difficult. They feel overwhelmed with parabolas homework, tests and projects. And it is not always easy to find parabolas tutor who is both good and affordable. Now finding parabolas help is easy... | 677.169 | 1 |
Question 3
Prove that the triangle above exists.
[25 marks]
Question 4
What is the area of a octagon of side length y, in cubic inches. (Note that this question uses non-euclidean goemetry)
[2πr marks]
Question 5
Through cunning use of Pythaogoras' Theorem, prove that aliens do not exist.
[-0 marks]
Question 6
If Faile... | 677.169 | 1 |
With this song, as is true with most of the others, students need clear
instruction that includes manipulatives and plenty of practice. I have found
that the basic concept of, "What is an angle?" can be very confusing for
some students.
I believe that the hand motions on this song are absolutely essential. After
all, s... | 677.169 | 1 |
a line, segment, or ray in the plane of a circle that intersects the circle in exactly one point
point of tangency
the one point where the tangent intersects the circle
tangent circles
coplanar circles that intersect in one point
concentric circles
coplanar circles that have a common center
common tangent
a line, ray, ... | 677.169 | 1 |
The answer is "D".
Stat(1): AC=EG. Let EG=x. then EH=x/sqrt(2). AB=x/2(sqrt2).With this we can find the side BC(one side of the rectangle and the diagonal are known).Hence we can find the area in terms of 'x'. Hence suffic.
Stat(2): As the diagonal divides both into two equal parts, if area of triangles is not same, th... | 677.169 | 1 |
The problem is different interpretations
of three "random" points, and choosing from an infinite
interval:
(a) Put A and B on the x-axis and draw
vertical lines up from each, dividing the upper half plane into
regionsT1, T2, T3. Draw a semicircle
above x-axis with diam. AB. Then assuming (WLOG) that C is above
the x-ax... | 677.169 | 1 |
Each pair of lines crosses at only one point (E1)
and divides the plane into two lunes with their four vertices touching at this
point, figure f/2.
Of the six lunes, we focus on the three shaded ones, which overlap the triangle.
In each of these, the two interior angles
at the vertex are the same (Euclid I.15).
The are... | 677.169 | 1 |
Plato''s Impossible triangle
Plato''s Cursed Triangle (The Impossible Triangle)
The Impossible Triangle is an optical illusion. This explanation is written in plain English since the geometric equations behind this illusion are too complex to be understood by anyone but math majors. Simply put: The triangle that is not... | 677.169 | 1 |
Pythagoras
Pythagoras (c.580-500 BC) was a Greek mathematician and philosopher, who formulated Pythagoras's theorem: in a right-angled triangle, the square on the hypotenuse equals the sum of the squares on the other two sides.
Short Biography:
Much of his work concerned numbers, to which he assigned mystical propertie... | 677.169 | 1 |
TRIGONOMETRY TUTORIAL
The classical concept of trigonometry deals with the relationships between the angles and sides of triangles. Over time, however, trigonometry has been adapted so that the angles do not necessarily represent angles in a triangle. For example, in calculus, trigonometric functions are defined for ar... | 677.169 | 1 |
Problem :
When a line is drawn through an equilateral triangle such that it is parallel to one side and
intersects one time with each of the other two sides, how many similar pairs of triangles
are created?
Thirty-six. If the equilateral triangle is triangle ABC, and the line intersects with sides
AC and BC, then a new... | 677.169 | 1 |
An isosceles triangle is a triangle with (at least) two equal sides, then base angles are congruent.
let the two equal angles be and
so,
third angle is
if the third angle of an isosceles triangle is dgree less than the sum of the two equal angles, then
......since , we have
..solve for
we know that the sum of all three... | 677.169 | 1 |
Overview: The Spidron is a planar figure consisting of two alternating sequences of isosceles triangles which, once it is folded along the edges, exhibits extraordinary spatial properties. The Spidron can be used to construct various space-filling polyhedra and reliefs, while its deformations render it suitable for the... | 677.169 | 1 |
HP 50g Calculator - Changing the Angle Measure Mode
The calculator has three setting options for the angular mode for use with trigonometric functions:
Degrees: A circle is divided into 360 degrees (360°).
Radians: The circumference of a circle is 2π radians.
Grades: There are 400 gradians (400 g) in a circle.
The angu... | 677.169 | 1 |
G.SRT.1.a A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
G.SRT.1.b The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
G.SRT.2 GivenG.SRT.3 Use the properties of similarity transfo... | 677.169 | 1 |
Seven Sided Polygon
Embed or link this publication
Description
A polygon is a geometrical shape which is constructed by the straight lines. In geometry there
are various kinds of polygons are defined that are constructed with help of straight lines.
Polygon is a special kind of geometrical shape that has equal no.
Popu... | 677.169 | 1 |
Geometric objects lying in a common plane are said to be coplanar. Three noncollinear points determine a plane and so are trivially coplanar. Four points are coplanar iff the volume of the tetrahedron defined by them is 0,
Coplanarity is equivalent to the statement that the pair of lines determined by the four points a... | 677.169 | 1 |
List the values of sin(α),
cos(α), sin(β), and tan(β)
for the triangle below, accurate to three decimal places:
For either angle, the hypotenuse has length 9.7. For the angle α, "opposite" is 6.5 and "adjacent" is 7.2, so the sine of α will be 6.5/9.7 = 0.6701030928... and the cosine of α will be 7.2/9.7 = 0.7422680412... | 677.169 | 1 |
degrees.
There is no easy relationship between these three angles, just like
there is no easy relationship between the distances between three
points. If you know that there is 23.4 km between cities A and B,
then you don't have enough information to say how much distance there
is between A and C, or between B and C. I... | 677.169 | 1 |
Statement 1 shows the ratio between each of the sides. AB:BC:AC is 6:4:3. We don't know the lengths, by using the ratio we can find the angles. I think the only way is by using trigonometry. Sufficient.
Statement 2, if it were = instead of >, would be a right triangle, meaning that no, one of the angles is not smaller ... | 677.169 | 1 |
Unit Summary
In this unit students discover the Pythagorean Theorem and explore its implications. However, these students with Specific Learning Disabilities may lack the prior knowledge needed of angle measurement, area of triangles, rules of exponents, and estimating roots. Breaking this unit into smaller chucks allo... | 677.169 | 1 |
geometry, a locus is a collection of points which share a property. For example a circle may be defined as the locus of points in a plane at a fixed distance from a given point....
of points corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line which rotat... | 677.169 | 1 |
Origin
The origin, of something, is the location from which it originated; that is, from whence it came.
The origin (from the latinorigo, "beginning") in a coordinate system is the point where axes of the system intersect. The most common systems are two-dimensional (contained in a plane) and three-dimensional (contain... | 677.169 | 1 |
Note that there are 7 points and 7 lines in this geometry. Since there are 7 points there are 21 pairs of points and you can check that there is always exactly one line which goes through this pair. For example, if one chooses the pair P6 and P7 the line which goes through them is L6. You can also check that each pair ... | 677.169 | 1 |
Dihedral Figures
Use this activity to recognize dihedral symmetry and reflections in figures and examining various symmetries.
Instructions
All shapes in a figure are identical. The black shape is the seed shape. If you click and drag any of the red vertices of a black shape, it will alter both the black shape and all ... | 677.169 | 1 |
How to tell impossible length combination of triangle
I just answered this question but was unable to come up with some kind of formula to tell the user that some combinations of a triangle is impossible. Is there any kind of formula to tell if a combination of a triangle is impossible?
Re: How to tell impossible lengt... | 677.169 | 1 |
Trigonometry
Introduction
In geometry we learn about how the sides of polygons relate to the angles in the polygons, but we have not learned how to calculate an angle if we only know the lengths of the sides. Trigonometry (pronounced: trig-oh-nom-eh-tree) deals with the relationship between the angles and the sides of ... | 677.169 | 1 |
You should find the angle A is 63,43∘63,43∘. For angle B, you first work out x (33,69∘33,69∘) and then B is 180∘-33,69∘=146,31∘180∘-33,69∘=146,31∘. But what if we wanted to do this without working out these angles and figuring out whether to add or subtract 180 or 90? Can we use the trig functions to do this? Consider ... | 677.169 | 1 |
angle symbol
The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays. The symbol looks like a skewed, uppercase, sans serif letter L ( ).
Nex... | 677.169 | 1 |
Question 8068
I'll show you how to do one of them and you can do the others.
You can derive the formula yourself by doing the following:
1) In any polygon, from one vertex (corner), draw all the diagonals to the other vertices.
2) Now count the number of triangles you have made inside the polygon. This number will alwa... | 677.169 | 1 |
conchoid
con·choid
a plane curve such that if a straight line is drawn from a certain fixed point, called the pole of the curve, to the curve, the part of the line intersected between the curve and its asymptote is always equal to a fixed distance. Equation: r = b ± a sec(θ).
geometry a plane curve consisting of two br... | 677.169 | 1 |
Like the hyperbola and parabola, the ellipse is a conic section.
Related article: Conics
empty set
The unique set having no elements, generally denoted by a circle with a forward slash through it, or by an empty pair of braces.
Epimenides Paradox
See Liar Paradoxilateral triangle
A triangle with equal sides and equal a... | 677.169 | 1 |
This geometry
study is a continuation of the analysis of the Manton Drove Crop Circle.
While this study does not offer new insight for the polar clock's
date/time, the design maintains focus on the role of Pi in this crop
circle geometry.
This geometry promotes the theory that a squared circle can be proven if
these di... | 677.169 | 1 |
Sunday, September 16, 2012
171: Something Euclid Missed
Before we start, a quick reminder: if you like the podcast, don't forget to go to iTunes and post a good review! I know, I promised not to be one of THOSE podcasters, but I just noticed that Math Mutation has fallen off the iTunes "What's Hot" list of top Science ... | 677.169 | 1 |
Since Morley, numerous proofs have been discoverered of the theorem. Trying to guess at the intuition behind the Morley triangle, it occurred to me that 180 degrees is a special quantity for triangles, the sum of their angles, so it only makes sense that when messing around with trisected, or 1/3, angles, the quantity ... | 677.169 | 1 |
Tuesday, September 4, 2012 at 9:28pm
Geometry Find m∠T if m∠T is 20 more than four times its supplement.
Tuesday, September 4, 2012 at 6:50pm
ap geometry m is the midpoint of segment jk. jm=x/8 and jk=3x/4 subtracted by 6. find mk
Monday, September 3, 2012 at 11:10pm
geometry a Street in san franscico has a 20% grade-t... | 677.169 | 1 |
Tuesday, August 21, 2012 at 7:42pm
Geometry You want to frame a picture that is 5 inches by 7 inches with a 1 inch wide frame. What is perimeter of outside edge of the frame.?
Tuesday, August 21, 2012 at 11:05am
geometry In Exam Figure 7, AA′ = 33 m and BC =7.5 m. The span is divided into six equal parts at E, G, C, I,... | 677.169 | 1 |
sin45=1/√2 cos45=2/√2 tan45=1
sin could also be expressed as √2/2=sin45
Then there is the 30-60-90 triangle:
in this case, it would be the following:
sin30=0.5 sin60=√3/2
cos30=√3/2 cos60=1/2
tan30=√3/3 tan60=√3/1
Non-Right Triangles:
In cases where you don't know if the triangle has a right angle you must use the law ... | 677.169 | 1 |
The logical structure of the exposition of the proofs has influenced all scientific thinking since Euclid's time.
This logical structure is essentially as follows:
A statement of the proposition.
A statement of the given data (usually with a diagram).
An indication of the use that is to be made of the data.
A construct... | 677.169 | 1 |
Math Ed Blog from Bruce Yoshiwara
Thursday, March 28, 2013
The angle bisectors
of the triangle meet at the center of the inscribed circle of radius r. If we let \(2\alpha=A\), \(2\beta = B\), and \(2\gamma=C\), we have \(\alpha+\beta+\gamma=\frac{\pi}{2}\).
Let x be the distance from the vertex at A to points of tangen... | 677.169 | 1 |
Common Error #17 Student Work Samples
This student did not correctly graph the ordered pairs.
This student correctly plotted the given ordered pairs and found the midpoints of the segments.
Page 33 9/14/2012
Common Error #18
Students do not correctly draw polygons, both regular and irregular.
A homework problem in Tao'... | 677.169 | 1 |
rotating lines in 2d space
Hi,
I'm struggeling with with a problem and culd use some help.
I have 2 lines somewhere in 2D space. One line is described by two known points p1, p2.
The other line is described by the unknown points p3, p4, but with a known length.
Now I need to connect p3 of the second line to either p1 o... | 677.169 | 1 |
Re-arranging SOHCAHTOA
'Understand all the things that are true about a given diagram, choose the right one and re-arrange it to suit you!'
Once you know about SOHCAHTOA the next challenge is to find out how to apply it to different problems. After some practice it gets easier to figure out if you need Sin, Cos or Tan,... | 677.169 | 1 |
Star of David
A. Bogomolny
Let's start with a nice configuration I have referred to on a couple of occasions. A billiard ball has been kicked at a 60o angle to a side of a billiard table in the form of an equilateral triangle. After bouncing twice from each side, the ball eventually returns to its starting point. The d... | 677.169 | 1 |
Take a point in the plane of a triangle and the Cevians through that point. There exist two triangles inscribed into the given one with sides parallel to the Cevians. When the Cevians are altitudes, the triangles combine into a Tucker hexagon inscribed into the second Lemoine circle. In the general case, the hexagon is... | 677.169 | 1 |
The word "secant" comes from the Latin word for "cut", which came from the Indo-European root "sek", meaning "cut". The IE root also came directly into English via various Germanic sound changes to give us "saw" and "sedge".
The picture
Showing pictures of mathematical objects that the reader can fiddle with may make i... | 677.169 | 1 |
The ideas in this geometry lesson are taken from the Geometry ebook that I sell at MathMammoth.com.
This lesson plan does not contain all the problems the Geometry ebook
does.
Measuring angles Free geometry lesson plan from HomeschoolMath.net
Angles are measured in degrees.
Remember how you can picture the one side of ... | 677.169 | 1 |
Symmetry can be found all around us. You need only look in the mirror to find evidence that the human body is symmetrical. If you draw a line down the middle of your body, you will see that one side is the mirror image of the other side: two eyes, two ears, two arms, two legs, ten fingers, etc.
The type of symmetry fir... | 677.169 | 1 |
You could describe this problem with two vectors an and orientation. The position of the camera $(x,y,z)_C$. The direction that the camera is pointing and the distance to the focal point (this is another vector) $(x,y,z)_F$. If you fix the distance to the focal point then you could describe this in terms of two angles.... | 677.169 | 1 |
Right Angles Geometry
Get more like this in a workbook
About This Worksheet
A right angle is an angle that's exactly 90 degrees. Help your child learn about right angle geometry with this simple geometry worksheet. She'll be asked to look at an angle and label it as either "less than" or "more than" a right angle. Afte... | 677.169 | 1 |
In this lesson, let's learn how we classify triangles. And we will identify each of the triangles given below as either equilateral isosceles, or scalene which are basically a measure of whether this sides are equal or not. And then identify each of them as acute, right obtuse which is a measure of their angles.
So eve... | 677.169 | 1 |
Angles/276147: Three angles of a pentagon are 130', 90', and 80'. Of the remaining two angles, one is 30' more than twice the other. What is the sum of the smallest two angles? 1 solutions Answer 201300 by solver91311(16877) on 2010-03-02 13:28:23 (Show Source):
I'm going to just assume that you used ' to mean degrees ... | 677.169 | 1 |
Of course, the sides of this triangle satisfy the Pythagorean Theorem
but one reason I like this particular right triangle so much is the role it plays in another favorite triangle. The 5-12-13 triangle fits together perfectly with the 9-12-15 right triangle
to make the 13-14-15 triangle!
The 13-14-15 triangle is speci... | 677.169 | 1 |
To verify that z = MR is a solution to the equation z²= az - b², note that the square of the length of the tangent ML equals the product of the two line segments MQ and MR. As ML is defined to equal b, its square is b squared. The length of MR is z, and the length of MQ is the difference between the diameter of the cir... | 677.169 | 1 |
In the geometrical and physical settings, sometimes it is possible to associate, in a natural way, a length or magnitude and a direction to vectors. In turn, the notion of direction is strictly associated with the notion of an angle between two vectors. When the length of vectors is defined, it is possible to also defi... | 677.169 | 1 |
7th grade introduction/conclusion id had lost my 4square plan and i had wrote my introduction on the same paper and im out of ideas and its due monday i need help fast
geo (finals) please help! i dont get these problems at all! a(4,3) b(7,4) and c(5,2) are midpoints of a triangle. find the coordinates for the vertices ... | 677.169 | 1 |
But EF equals EB, therefore the rectangle CF by FA together with the square on AE equals the square on EB.
But the sum of the squares on BA and AE equals the square on EB, for the angle at A is right, therefore the rectangle CF by FA together with the square on AE equals the sum of the squares on BA and AE.
Subtract th... | 677.169 | 1 |
The Shape Show- very misleading, wrong maths.. 2D shapes cannot be picked up. However "thin" the shape is,if it can be picked up, it is 3D. There was no mention of right angled triangles in the list of triangles & no differentiation between a square and an oblong. "Rectangle" was used to describe an oblong, but not a s... | 677.169 | 1 |
When dealing with lines and points, it is very important to be
able to find out how long a line segment is or to find a
midpoint. However, since the midpoint and distance
formulas are covered in most geometry courses, you can
click here
to better your understanding of the midpoint and distance
formulas.
Circles, when g... | 677.169 | 1 |
I IThe trick is that: Firstly you cut triangles from the one width and one length, if there's no overleft, there won't be any overleft.
In this case, 12 is divisible by 4 and 3
7= 3+4
For sure, there won't be any overleft when you cut from one width and one length.
In short, as long as length/width( one of the two) is ... | 677.169 | 1 |
: I'm enrolled in a online school and my text is online. The text is very vague in showing me how to do stuff. I am having trouble with a question. If anyone could help it would be much obliged. The question is:
: A right-angled triangle has vertices A(3,4), B(7,-4), C(-5,0). Show that the midpoint of the hypotenuse is... | 677.169 | 1 |
8.3.1 Connect the measurement of length, liquid, and mass with the appropriatecustomary and Metric units.
8.3.2 Convert units within and between measurement systems using conversionratios. Convert between various units of area and various units of volume. Calculate and convert rates through conversion ratios and label ... | 677.169 | 1 |
Question 252434: triangle A is similar to triangle B. side length of triangle A is 3 inches .side length of triangle B is 12 inches. the area of A is 10. what is the area of B ?
a 20 b 40 c 160 d 640 e 40640 Click here to see answer by drk(1908)
Question 253146: Tim says that if the measure of one angle of an isosceles... | 677.169 | 1 |
Every week over 3000 museum visitors use the Triangle Tiling exhibit developed by the Geometry Center in collaboration with the Science Museum of Minnesota. The program features mathematical concepts such as the relationship between Platonic and Archimedean solids, and the dual of a polyhedron. The program is also used... | 677.169 | 1 |
No. Yes. Yes. No. No. Only a rhombus can be divided into two equilateral triangles, and a rhombus is
a parallelogram. A rhombus with two 60 degree angles and two 120 degree angles can be split by one of its
diagonals (the one that bisects the 120 degree angles) into two congruent, equilateral triangles.
Question: Can ... | 677.169 | 1 |
Human Conics
In this lesson students use sidewalk chalk and rope to illustrate the locus definitions of ellipses and parabolas. Kinesthetics, teamwork, and problem solving are stressed as students take on the role of focus, directrix, and point on the conic, and figure out how to construct the shape.
Learning Objective... | 677.169 | 1 |
Before going outside, separate students into groups of three. Three students are needed for the ellipse and parabola, two to represent foci or directrix and one to draw. For the circle, only two students are required, the center and the chalk, but it is usually easier not to rearrange groups mid-activity. Explain to st... | 677.169 | 1 |
This is the basic interface element in both TrigAid and Physics 101 SE. This is called a formula box, it allows the calculation of the main formula, but also its inner variables. Clicking the calculate button yields the main calculation (editfield in gray) and clicking the radial buttons yields the subcalculations. Cli... | 677.169 | 1 |
Definitions
Century Dictionary and Cyclopedia
n. In anc. math., a line compounded of two medials. If these latter make a rational rectangle, the compound is called a first bimedial; if they make a medial rectaugle, the compound is termed a second bimedial. In modern language this would be expressed by saying that a bim... | 677.169 | 1 |
==> geometry/konigsberg.p <== Can you draw a line through each edge on the diagram below without crossing any edge twice and without lifting your pencil from the paper?
+---+---+---+ | | | | +---+-+-+---+ | | | +-----+-----+
==> geometry/konigsberg.s <== This is solved in the same way as the famous "Seven Bridges of Ko... | 677.169 | 1 |
L1 and L2 are given, and so L is a constant. How large can s be? Given L, the value s=k is possible if and only if there exists a real solution, y', to (***), such that 2k <= y' < L2. Now that s has been chosen, L and s are constants, and (***) gives the desired value of y. (Make sure to choose the value satisfying 2s ... | 677.169 | 1 |
==> geometry/manhole.cover.s <== It will not fall into the hole, even if rotated, tipped, etc. It gives maximal area for a given amount of material. It does not have to be carried, but can be rolled. Human beings are roughly round in horizontal cross section. Orientation of the cover with the access hole is not of conc... | 677.169 | 1 |
==> geometry/table.in.corner.p <== Put a round table into a (perpendicular) corner so that the table top touches both walls and the feet are firmly on the ground. If there is a point on the perimeter of the table, in the quarter circle between the two points of contact, which is 10 cm from one wall and 5 cm from the ot... | 677.169 | 1 |
Delete this Comment
1Plane and Solid Figures
On the GED® Mathematics Test, students will apply their understanding of circles to solve problems.
They need to understand that a circle is a flat, closed figure in which every point is the same distance from the center.
They also need to be able to use the concepts of radi... | 677.169 | 1 |
geometric designs, such as the one below, constructed by a geometry
student.
You will find a step-by-step set of instructions for constructing
a cardioid below:
1) Construct a circle using a compass. Construct a horizontal line
through the center of the circle, using a ruler. Construct a line
through the center perpend... | 677.169 | 1 |
Understanding early years environments and children's spaces This unit considers some of the different environments children encounter in their early years. It encourages you to develop your reflection of children's environments and provides opportunities for you to investigate and evaluate young children's experiences... | 677.169 | 1 |
This explanation may be incomplete or incorrect. If you see a way to improve it, edit it! Thanks.
In this comic, Randall attempts to draw a five-pointed star, which is one of the toughest things to draw for whatever reason. The title text references the fact that a five-pointed star has all angles at 36 degrees what su... | 677.169 | 1 |
To square the fence line to the house, you'll mark off a right triangle extending from the foundation. Sink one stake for the triangle's corner where the first post will go, and a second one 3 feet away along the foundation. Tie a mason line to the first stake, stretch it taut roughly perpendicular to the house, and ma... | 677.169 | 1 |
from Chapter 3
Good Evening Everyone! It is time for us to bid farewell to Chapter 3 considering that we took our test today and are now moving on to the next chapter. Personally, I enjoyed chapter 3 because learning all of the postulates and theorems helped me to gain a new understanding on angles and corresponding pa... | 677.169 | 1 |
trig 53. A 60-foot drawbridge is 24 feet above water level when closed. When opened the bridge makes an angle of 33 degrees with the horizontal. a. How high is the tip P of the open bridge above the water? b. When the bridge is open, what is distance from P to Q? 53. A 60-foot ...
Friday, February 17, 2012 at 5:58am
Q... | 677.169 | 1 |
SOL
Algebra ->
Algebra
-> Triangles
-> SOLLog On
Question 144862ATION OF THE SUN IS 52 DEGREES, FIND THE HEIGHT OF THE BUILDING CORRECT TO THE NEAREST INTEGER.
***I MUST SHOW ALL WORK SO PLEASE DO SO FOR ME*** THANK YOU VERY MUCH***
THE PICTURE SHOWS RIGHT TRIANGLE WITH ONE 90 DEGREE ANGLE AND ONE 52 DEGREE ANGLE. I KN... | 677.169 | 1 |
Ideas from Classroom Teachers for Trigonometry and Triangles
The applications section is the central point to this unit; the last few topics should also be addressed from an applications-motivated perspective. Note that anyone can select a formula and plug numbers in. The real challenge here is to create an appropriate... | 677.169 | 1 |
The proof is by outer five segment on D′ C R and P C E and points P and D′. We pretty much have everything we need to apply outer five segment, although between P C E is complicated enough to break out into its own lemma. This lemma follows from between P C C′ and between C E C′.
It might seem that having proved D′ = D... | 677.169 | 1 |
Four Sided Polyg learn to identlfy polygons by determining whether they they are closed depending on if an animal can "escape" from inside the "fence." Students will also learn how to draw their own polygons.
NOTEBOOK (SMARTboard) File
Be sure that you have an application to open this file type before downloading and/o... | 677.169 | 1 |
Question 461510: Consider a nine point circle(Feuerbach's circle, Euler's circle, Terquem's circle). How to prove that nine-point circle bisects a line segment going from the corresponding triangle's orthocenter to any point on its circumcircle. Answer by richard1234(5390) (Show Source):
Suppose we extend HF to a point... | 677.169 | 1 |
Angle between a plane and horizontal
I need to find the angle between a set of planes ax+by+cz+d = 0 and horizontal plane (x-y plane).
For example my first plane equation is x - 4y +3z +1 = 0
so i wrote the following code
n1 = [1 -4 3]; % Normal vector to plane
n2= [0 0 1]; % normal vector to x-y plane
cosang = dot(n1,... | 677.169 | 1 |
Trigonometric Graphs (page 1)
In this laboratory, we will examine trigonometric functions and their graphs.
Upon completion of the lab, you should be able to quickly sketch such functions
and determine such characteristics as period and amplitude. You should also
be able to determine whether the function has been shift... | 677.169 | 1 |
You may have wondered, when we said that an array of
numbers was called a 'vector', why we used that term. Isn't a vector just
an arrow, or the line-based artwork that comes from programs like Illustrator
or Flash?
Well, one way to represent an array of numbers is as
a point on a grid. For instance, the vector [80,60] ... | 677.169 | 1 |
Alternative: Balls can be used instead of blocks, instead drawing a circular "target" on the camera screen, but linear width is an easier way to connect to angular width in the next activity, where strings actually demonstrate the angle which is the size of the object in the image.
Describing the pattern of data in wor... | 677.169 | 1 |
Seven Sided Polygon
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Description
A polygon is a geometrical shape which is constructed by the straight lines. In geometry there
are various kinds of polygons are defined that are constructed with help of straight lines.
Polygon is a special kind of geometrical shape that has equal no.
Popu... | 677.169 | 1 |
Spherical Coordinates
FlexibleBandana8967 asked
The latitude and longitude of a point P in the Northern Hemisphere are related to spherical coordinates ?, ? , as follows. We take the origin to be the center of the Earth and the positive z-axis to pass through the North Pole. The positive x-axis passes through the point... | 677.169 | 1 |
Trapezoid
It is necessary that the two parallel sides be opposite; they cannot logically be adjacent.
If the other pair of opposite sides is also parallel, then the trapezoid is a parallelogram.
(But according to some authorities, parallelograms are specifically excluded from the definition of trapezoid.)
Otherwise, th... | 677.169 | 1 |
Hello,
I'm building a google maps application, and I need to do some
calculation with polygons. I have several points in cartesian system
(lat/lng)
that I use to create the polygons. I need to remove some of this points,
because they are irrelevants (i.e. are too close to each other, or is a
point
in the middle of a li... | 677.169 | 1 |
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