text stringlengths 6 976k | token_count float64 677 677 | cluster_id int64 1 1 |
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Now, the very last thing I want to tell you about these functions is - well, the values at certain famous points. A lot of times you want to find the values at some big point - let me tell you the values that you should know for certain. You should know - I'll write them first in degrees. You should the trig functions ... | 677.169 | 1 |
The algorithm manipulates a list of red and blue isosceles triangles. Each red triangle has a 36° angle at its apex, while each blue triangle has a 108° angle.
In Python, we can represent such triangles as tuples of the form (color, A, B, C). For the first element, color, a value of 0 indicates a red triangle, while 1 ... | 677.169 | 1 |
Given a set of points, the plane can be split in domains for which the first point is closest, the second point is closest, etc. Such a partition is called a Voronoi diagram. If one draws a line between any two points whose Voronoi domains touch, a set of triangles is obtained, known as the Delaunay triangulation. Gene... | 677.169 | 1 |
Pre-Calculus 11 two If DF=4 we have a right triangle, with EF=4√3 = 6.92 Moving F a bit toward D will enable us to make EF a bit longer (7.00) Moving F a bit away from D will allow for EF a bit longer (7.00)
Thursday, May 16, 2013 at 7:11pm by Steve
math If the first bit (left most bit) is a 0, then it can be filled in... | 677.169 | 1 |
Ratios in Right Triangles
In this lesson our instructor talks about ratios in right triangles. First she talks about trigonometric ratios of sine, cosine, and tangent. Then she discusses trig function, and inverse trig functions. She finishes with a lecture on SOHCAHTOA. Four extra example videos round up this lesson.
... | 677.169 | 1 |
Two contemporary proofs can be considered the oldest record of the Pythagorean theorem: one to be found in Chou Pei Suan Ching (The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven, ca. 500-200 B.C., see image below), the other in the Euclid's Elements.
The theorem
A right triangle is a triangle with... | 677.169 | 1 |
If one erects similar figures (see Euclidean geometry) on the sides of a right triangle, then the sum of the areas of the two smaller ones equals the area of the larger one.
The Pythagorean theorem stated in Cartesian coordinates is the formula for the distance between points in the plane -- if (x0, y0) and (x1, y1) ar... | 677.169 | 1 |
Two Vectors
ScrawnySpatula8167 asked
The two vectors a and b in the figure have equal magnitude of 7
m and the angles are ?1 = 31° and ?2 = 99°.
a. Find the x-component of their vector sum r. b.Find the
y-component of their vector sum r. c. What is the magnitude of
their vector sum r? d. Find the angle that their vecto... | 677.169 | 1 |
A good answer might be:
a = (0,4)T is aligned with the Y axis.
Its length, 4 units, can be read off the diagram.
Pythagorean Formula
Of course, vectors have no fixed location, so vector a
can be drawn anywhere.
The diagram shows the vectors of length 3 and 4, and with a new
vector, h.
The length of vector h
is harder t... | 677.169 | 1 |
Cartesian coordinates are a central part of high school algebra, and the theory continues to have useful applications in geometry ... Polar graphs offer a more natural way of plotting and viewing certain types of data than Cartesian graphs. ...
Representing Data Graphically There is an old saying that "a picture is lik... | 677.169 | 1 |
Hello Friends, I would like you to help me with coordinate geometry. This is a problem from MGMAT. The line is represented by equation y = x is the perpendicular bisector of line segment AB. If AB has the coordinates (-3,3), what are the coordinates of B?From the equations, you can see that the line y=-x is bisected at... | 677.169 | 1 |
Tags
180 Rule Demonstration
Activity Overview / Details
Before we begin this section of the lesson, place the students
into groups of four. These will be the production groups for
the video assignment. Hand out the document titled, "Don't
Cross The Line! to each student.
TEACHER* Ask the students to read the hand out, ... | 677.169 | 1 |
Videos, worksheets, games and acivities to help Geometry students learn geometry proofs and how to use CPCTC, Two-Column Proofs, FlowChart Proofs and Proof by Contradiction.
CPCTC
CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which... | 677.169 | 1 |
Do the multiplication by -1 to get:
.
.
But don't forget that you have to reverse the direction of the inequality sign too. When
you do the inequality is now:
.
.
Now you can replace the inequality sign with an equal sign and solve the equation for y
just as you have always done. Begin by adding 4x to both sides to get... | 677.169 | 1 |
Given triangle ABC with AB = AC, extend segment AB to a point P so that B is between A and P and BP = BC. In the resulting triangle APC, show that angle ACP is exactly three times the size of angle APC. (By the way, notice that extending segment AB does NOT mean the same thing as extending segment BA.)
thnx!!! 1 soluti... | 677.169 | 1 |
Pythagorean Theorem
This week in geometry we learned about the Pythagorean theorem. One would use the Pythagorean theorem to find the lengths of the sides of a right triangle. The formula is: leg1 squared + leg2 squared = hypotenuse squared. The hypotenuse is the side opposite the right angle. There are two special tri... | 677.169 | 1 |
String theory
I have deduced an equation of a right triangle using the trigonometric ratio ...
Posts 1 - 2 of 2
String theory discussion
midnightroyale 08/25/10
I have deduced an equation of a right triangle using the trigonometric ratio sine can i apply that equation for example to the moon and two stars to determine ... | 677.169 | 1 |
I assume you're trying to find an angle between two points? I'm sure there are more efficient ways of doing this but I used some stuff I learned from Calculus to develop a Get_Angle() proc which uses inverse cosine and some vector math to determine the angle between point (x0,y0) and point (x1,y1).
atan2() (or arctan2(... | 677.169 | 1 |
Area of Kite = $\frac{d_1 d_2}{2}$ where $d_1$ and $d_2$ are the lengths of the diagonals.
Question 4: One side of a kite is 5 cm less than 7 times the length of another. If
the perimeter is 86 cm, find the length of each side of the kite. Solution:
Let the two unequal sides of a kite be a and b. Then we have b = 7a – ... | 677.169 | 1 |
Perimeter questions on the GMAT are a subset of a subset — a small part of the geometry you will inevitably run into on the Quantitative side of the test. Perimeter is the distance around a geometric figure — from Ancient Greek περίμετρος, or "measure around". And on the GMAT it is just that: the sum of the side length... | 677.169 | 1 |
Algebraic curve : A curve whose cartesian equation can be expressed in terms of powers of x and y together with the operations of addition, subtraction, multiplication and division.
For example the astroid, x2/3 + y2/3 = a2/3, is an algebraic curve. The term is due to Leibniz.
Anallagmatic curve : A curve which is inva... | 677.169 | 1 |
Pedal curve : Given a curve C then the pedal curve of C with respect to a fixed point O (called the pedal point) is the locus of the point P of intersection of the perpendicular from O to a tangent to C.
Radial curve : Let C be a curve and let O be a fixed point. Let P be on C and let Q be the centre of curvature at P.... | 677.169 | 1 |
Homework 10/5/99
Chapter 3:
Q6. When two vectors are added, the magnitude of the sum will be the greatest
when the vectors point in the same direction. In this case the magnitude will be 7.5
km. When the vectors point in different directions the sum will be smaller.
The sum will be the smallest when the vectors point i... | 677.169 | 1 |
Vector Functions
Recall that functions are much like computers or machines that take in one or several input numbers and put out a single number. And recall that vectors are mathematical entities composed of two pieces, magnitude and direction, like the...
Please purchase the full module to see the rest of this course
... | 677.169 | 1 |
For a trade to be fair, it has to be fair in both directions. The source producers need to be paid a fair price for the product the produce, but I too need to pay a fair price for the item I'm purchasing.
It's called Pythagoras Theory because it's only a theory. Every triangle that it's ever been tested on works, so th... | 677.169 | 1 |
Define the maximum and minimum radii and as the maximum and minimum distances from either focus to the ellipse (that is, the distances from either focus to the two ends of the major axis). Then with semimajor axis a, the eccentricity is given by
In geometry, a cross-section is the intersection of a figure in 2-dimensio... | 677.169 | 1 |
Okay — so far, so good. We can now calculate length changes. But many of the structural elements in a strain marker not only change their length, but also their orientation. That is to say, they rotate. In order to quantify that, we need to thinking about shear strain. Shear strain (γ), is calculated from angular shear... | 677.169 | 1 |
Algebra Prove by mathematical induction that 3^(3n+1) + 2^(n+1) is divisible by 5
Geometry Lines p and q are parallel and are intersected by transversal r. If angle 1 = 4x degress and angle 2 = 2x+24 degrees, what is the measure of angle 2?
American Government Proportional representation systems like those in Western E... | 677.169 | 1 |
Question 238515: Prove the following statement:
If a triangle has one obtuse angle, then the other two angles are acute. Found 2 solutions by Fombitz, nyc_function:Answer by Fombitz(13828) (Show Source):
You can put this solution on YOUR website! For every triangle,
where A,B,C are the angles.
An obtuse angle is an ang... | 677.169 | 1 |
The four transformations; reflection, rotation,
translation and enlargement are studied in more detail
in Year 9 and Year 11.
Download these documents for a look at this topic.
Below is a summary of each:
Reflection
When a shape or point is reflected its image is on
the opposite side of a mirror line or axis of symmetr... | 677.169 | 1 |
where called the semi-perimeter and bA, bB, and bC are bisectors of angles A, B, and C, respectively. The given formulas are not worth memorizing for if you are given three sides, you can easily solve the length of angle bisectors by using the Cosine and Sine Laws.
Perpendicular Bisector
Perpendicular bisector of the t... | 677.169 | 1 |
Parallelogram Vector addition: In this method first two vectors are drawn such that their initial points coincide. Then the other two lines are drawn to form a parallelogram. The resultant would be the diagonal of the parallelogram drawn from the initial point to the opposite vertex of the parallelogram.
Vector additio... | 677.169 | 1 |
10th Grade Math: Tangent Line Help
Related Subjects
10th Grade Math: Tangent Line
In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that "just touches" the curve at that point. As it passes through the point of tangency, the tangent line is "going in the same directi... | 677.169 | 1 |
Dividing Rules:
When working with rules for positive and negative numbers, try and think of weight loss or poker games to help solidify 'what this works'.
Using a number line showing both sides of 0 is very helpful to help develop the understanding of working with positive and negative numbers/integers.
Midpoint Formul... | 677.169 | 1 |
Question 11959: The question in my books reads as follows; "In the following figure, the measure of angle 1 is 9 degrees less than half of the measure of angle 2. Determine the measure of angles 1 and 2." Using a protractor, this would be simple, but the question appears to be asking for an equation. How would I set th... | 677.169 | 1 |
The equation defining an algebraic curve expressed in polar coordinates is known as a polar equation. In many cases, such an equation can simply be specified by defining r as a function of θ. The resulting curve then consists of points of the form (r(θ), θ) and can be regarded as the graph of the polar functionr.
Diffe... | 677.169 | 1 |
The cylindrical coordinate system is a coordinate system that essentially extends the two-dimensional polar coordinate system by adding a third coordinate measuring the height of a point above the plane, similar to the way in which the Cartesian coordinate system is extended into three dimensions. The third coordinate ... | 677.169 | 1 |
To celebrate Halloween, last year we discussed what you can do with 1,818 pounds of pumpkin. It was a popular blog post, and it put an awful lot of smiles on peoples' faces. An entire lamina (filled shape) of smiles, in fact. More »
Wolfram|Alpha already contains many extensive collections of mathematical data, includi... | 677.169 | 1 |
1 Answer
First of all, there is the question of what it means for points and tangent lines to be "given". I will assume that we have Cartesian coordinates on the plane and that all the given objects are given in these coordinates.
The plan will be pretty straightforward: we'll find the equation of our ellipse, and from... | 677.169 | 1 |
Four Dogs Running
Date: 08/08/2001 at 04:28:09
From: Devon King
Subject: Geometry/algebra
Four dogs are at four corners of a field. Each dog chases the dog to
its right; all four run at the same speed and no acceleration is
assumed. The questions are:
1. Where will they meet?
2. How far will they have run when they mee... | 677.169 | 1 |
In my prior post about using Clifford algebras to do plane rotations, I finished with a non-intuitive step at the end. Rather than multiplying on the right by an element representing a rotation of angle , I multiplied on the left by an element representing a rotation of angle and multiplied on the right by an element r... | 677.169 | 1 |
Definition of the Trigonometric Functions of an Acute Angle
posted on: 28 Jun, 2012 | updated on: 29 Jun, 2012
Before going to discuss the definition of the Trigonometric Functions of an Acute Angle let's know about acute angle. An acute angle is an angle which is always lesser than 90 degrees. It does not include 90 d... | 677.169 | 1 |
On the plane, a figure that we want to call a triangle has all of its angles on the "inside." Also, there is a clear choice for inside on the plane; it is the side that has finite area. See Figure 6.5. But what is the inside of a triangle on a sphere? The restriction that the area on the inside has to be finite doesn't... | 677.169 | 1 |
Search Loci: Convergence:
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration? It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both... | 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 |
2 The word Sine is of doubtful origin, according to the preamble to Hutton's Mathematical Tables, p.17. It is of some interest to note that the right - hand smaller arc of the first diagram in [Figure 1-1] can be thought of as representing a bow or arcACB, while the string or cord is the chordAB; the length of the bolt... | 677.169 | 1 |
typo divide into four right triangles 6, 8 are legs so 3,4,5 triangles, hypotenuse is rhombus side = 10 10*4 = 40
Sunday, January 2, 2011 at 2:31pm by Damon
geometry divide into four right triangles 6, 4 are legs so 3,4,5 triangles, hypotenuse is rhombus side = 10 10*4 = 40
Sunday, January 2, 2011 at 2:31pm by Damon
ge... | 677.169 | 1 |
Generate polygons from a set of intersecting lines As the code description says it won't work as expected by the question author: "edges must be correctly noded; that is, they must only meet at their endpoints. The Polygonizer will run on incorrectly noded input but will not form polygons from non-noded edges"
How to i... | 677.169 | 1 |
is directly overhead --altitude equals 90 degrees...
At the pole, the latitude is 90 degrees.
For a different perspective you can focus in on the ship
to see the angular height of Polaris rising congruent with angle oflatitude.
The contents of this site may be reproduced for non-profit educational purposes
only. Please... | 677.169 | 1 |
It's bh/2, where b=the length of the base (whichever side you are calling the "bottom" of the triangle) and h=the height, or the vertical distance from the line containing the triangle's base to the angle formed by the other two sides. It's a lot easier to show than to explain in words, but I don't have time at the mom... | 677.169 | 1 |
The drawing shows a right triangle ABC with a cevian BD. If
angle A = 2x, angle CBD = 3x, and AB = BC + CD, find x. A cevian is a line segment in a triangle with one endpoint on a vertex and the other endpoint on the opposite side.
Geometry problem solving to Solve It, Interactive Mind Map
George Pólya's 1945 book "How... | 677.169 | 1 |
Coordinate Of A Point
posted on: 25 May, 2012 | updated on: 12 Sep, 2012
A number pair which represents the location of a Point in two - dimensional space is known as coordinates of a point.
Suppose we have Coordinate of a Point R (5, -9) then it defines the location of points.
Where 'R' is the name and the Numbers in ... | 677.169 | 1 |
math214 A student asks what exactly Euclidean geometry is. How do you answer?
math 214 A student claims that if any two planes that do not intersect are parallel, then any two lines that do not intersect should also be parallel. How do you respond?
math214 A student asks whether a polygon whose sides are congruent is n... | 677.169 | 1 |
Find the Unit Vector with Positive Component Which is Normal to the Surface?
Unit vector can be defined as a vector which is used to represent the direction of any vector quantity. Length of unit vector is equals to 1. Unit vectors in Cartesian coordinates can be given as
i^, j^ and k^. Here i^ is the unit vector along... | 677.169 | 1 |
So in effect, this 23.5º angle from the centre of the King's Chamber intersects a point (the centre of the green cross in Fig. 8) that is already marked-up to the value of 23.5.
Figure 8 - The perpendicular angle of 23.5º that runs through the centre of the KC and the point where the centreline of the GP intersects the... | 677.169 | 1 |
Summary: Teaching isometries of the plane plays a major role in the formation of the congruence-concept in the Hungarian curricula. In the present paper I investigate the way the isometries of the plane are traditionally introduced in most of the textbooks, especially the influence of the representations on the congrue... | 677.169 | 1 |
Friday, October 3, 2008 at 6:06am by bobpursley
the big idea of energy Copy and paste for the win: The "big idea" of energy, is a phrase designed to point out that everything in the universe is energy in one form to another and that the sum of energy is maintained. Energy can only be transferred or transformed from one... | 677.169 | 1 |
Wheels and carts
You must be familiar with wheels and carts.you all must have seen that in your sourrindings as well.so just get into that and explore the world(universe)of circles.
A circle is a closed curve.There are any terms associated with circle.
1.CIRCUMFERENCE = It is the distance around the circle.It is the le... | 677.169 | 1 |
geometry
just started at geometry.
Two lines intersect such that the measure of each obtuse angle formed by the lines is three times the measure of each acute angle formed by the lines. What is the measure, in degrees, of an obtuse angle formed by the lines?
Re: geometry
Hi;
3x + x = 180
4x = 180
x = 45° that is the ac... | 677.169 | 1 |
Multiplying this out, we are left with ½a + ¼a + ¼b - ¼a, which simplifies to ½a + ¼b. Hurrah!
Magnitude
The magnitude of a vector is its length. A unit vector, having a length of 1, will therefore have a magnitude of 1. The magnitude of line OA would be written in pipes (like the modulus) as so:
→ |OA|
To calculate th... | 677.169 | 1 |
Solution: We could do this calculation using the principle of inclusion and exclusion, but what happens if 3 is replaced by 10 in the original question? The calculations would get really ugly, really fast. Instead, we can efficiently calculate the complement probability. The probability that we do not see 6 after rolli... | 677.169 | 1 |
So, what can you do with Kig? Is it just a geometry teaching tool? Kig would be interesting if it were only for teaching geometry, but it can be used for much more. I can easily see how to use Kig to teach algebra, geometry, trigonometry, physics, analysis and calculus.
Let's start with algebra. Figure 1 shows two line... | 677.169 | 1 |
angles of a convex polygon having n sides is (n-2)*180.
• Prove that the sum of the measures of the
exterior angles (one at each vertex) of a convex polygon is 360.
• Using modeling rather than memorization to
determine the sum of the measures of the interior angles of a convex
polygon with n sides.
• Solve problems th... | 677.169 | 1 |
the screenshot its the representation of the reality of a part of the city of buenos aires, the streets are not really a straight grid i guess so i dont know whats going on with voroni but its betraying me
you can use area on closed curves to. Its not the issue. The issue is that voronoi is a perfect radius from each p... | 677.169 | 1 |
Great question, Surajalok - this brings up a crafty GMAT writing style that I've always admired (while watching students struggle with it).
The perimeter of an isosceles right triangle can be calculated using the fact that the ratio of the sides will be x, x, and x*sqrt 2. So, the perimeter will be 2x + x*sqrt 2. We ca... | 677.169 | 1 |
of points on the line segment between P1 and P2.
For an example, let us consider
the equation in two dimensions Y = a·X + b.
As a final remark, consider the
point Q = ( b/a ·
(a
– 1), a·
b) for a
= 2.0.This becomes
Q = ( b/a , 2 ·
b) or X = b/aand Y = 2 ·
b.For X = b/a, the linear equation
evaluates to
Y = a·(b/a)
+ b ... | 677.169 | 1 |
This is great work, consider it swiped! Your math all looks right on to me. Although technically, leaving a radical in the denominator is frowned on, I see how it makes the patterns easier to see, and subsequently memorize if desired.
Inspired by your example, I have drawn (on paper) a similar graph of my own. Mine dif... | 677.169 | 1 |
Question 208377: this is the question: Describe a real-life example of three lines in space that do not intersect each other and no two lines lie in the same plane.
this is what I think will work but I don't know: a book.
Please help!! Click here to see answer by Alan3354(30924)
Question 210389: i have to find the leng... | 677.169 | 1 |
At that level would the answer not be a bit more pattern related. I.e that the length of the diagonal on 3 is the same as 2 +1 and 5 is the same as 2+3or 4+1. Or that the diagonal will always be the length of the side x the diagonal of the 1cm sided triangle.
You got full marks if you recognised the pattern. The teache... | 677.169 | 1 |
Writing up constructions involves two steps: a construction or "recipe",
where you state precisely all the steps of the construction, and secondly
a proof that the construction does what you claim it does.
Once you have done a construction once, you may refer to it everafter.
So if you have proved that you have a const... | 677.169 | 1 |
chosen a point D on the circle, the equality of lengths "AD = BC" is
justified by construction. Later, when you use a complicated construction
that you have previously proved, you may justify more complicated things
by construction. For example, if you have in your construction
"Step 5: Construct the bistector of angle... | 677.169 | 1 |
To draw a circle tangent to 3 equal sized circles (this ones for you Husky )
1. Draw 3 circles (same radius) with centers at any given coordinate points. 2. Set up ' layer ' construction and draw polyline (A) to connect all the centers. 3. Draw a line (B) > using Relative Angle ( LR) set to 90 and at an arbitrary lengt... | 677.169 | 1 |
Using the protractor, I make a line from 'B' that is 56 degrees from the vertical and 2.5 inches long. I mark the end of it 'Z'.
I now draw a line between Y and Z, and extend it all the way to where it crosses my course. I measure the angle at Z - This is the Angle on Bow (AOB). In this case, it is 62.5 degrees.
I then... | 677.169 | 1 |
Triangle Centers Coordinate Geometry: Common Core Performance Task performance task assessment at the conclusion of our unit on triangle properties. Ultimately the unit is about making strategic use of mathematical tools, an idea that is explored through the following content items:
* Perpendicular bisectors and angle ... | 677.169 | 1 |
We are working our way through the Level C Lessons concerning triangles, circles, and fractions (lessons 69-74).
Concerning the dividing of a triagle into fourths, is he supposed to know how to find the midpoint of a number such as 7 inches or 3 1/2 inches or is he just supposed to "eye it"? This is pretty easy to do w... | 677.169 | 1 |
Problem 116.
Area of Triangles, Excircles.
Level: High School, SAT Prep, College
In the figure below, given a triangle
ABC, construct the excircles with
excenters P and Q. Let be D and E the tangent
points of triangle ABC with its excircles. PE and DQ meet at F,
BE and DQ meet at H, PE and BD meet at G. If S1, S2, S3,
... | 677.169 | 1 |
It is evident that there are many lines parallel to the base CD of the triangle, namely BE and LG, as well as innumerable ones in the smaller pentagrams. That means that there will be many 36°-72°-72° triangles besides the large one ACD. The next smaller one is ALG, then FKH, then many smaller ones. Also, each of these... | 677.169 | 1 |
Space Probes: Scientists are predicting a comet will collide with an asteroid in 30 days. Three different probes can be sent…(math skills used: equation of a line / standards 1,4,5)
Batter Up: Troy is a very good batter. He averages a hit every one out of three times he comes to bat. If Troy batted twice…(math skills u... | 677.169 | 1 |
Apolyhedron is a three-dimensional solid
figure in which each side is a flat surface. These flat surfaces
are polygons and are joined at their edges. The word
polyhedron is derived from the Greek
poly (meaning many) and the
Indo-European hedron (meaning seat
or face).
A polyhedron has no curved surfaces.
The common pol... | 677.169 | 1 |
the angles in the polar coordinates of a point in the 3D world. Eo
stands for equatorial and it is the angle on the xw,yw
plane. Vo stands for vertical and is the angle between
the line from the origin to the point's (xw,yw)
coordinates and the line from the origin to the point's (xw,yw,zw)
coordinates, in other words,... | 677.169 | 1 |
1) Always start on the most complicated side
2) Change everything to sine and cosine. These are the trig functions all students are most familiar with, it will be easy to see patterns with them
3) Note that you may have to work on both sides. Working on one side and trying to get the other side does not always work. If... | 677.169 | 1 |
Solution of triangles
Solution of triangles (Latin: solutio triangulorum) is the historical term for the solving of the main trigonometric problem: to find the characteristics of the triangle (three angles, the lengths of the three sides etc) when some (but not all) of this characteristics are given. The triangle can b... | 677.169 | 1 |
I know that h = 4+9 = 13. I was trying to use the Triangle Angle Bisector Theorem but I don't seem to have enough information. Click here to see answer by solver91311(16897)
Question 186535: THis is greek to me, where would i start with something such as this!:-}
Question 186566: Regarding Question 186543, I got your a... | 677.169 | 1 |
Related Products
What is the figure that will result from the cutting of a right circular cone by a plane parallel with the cone's axis of symmetry?
(A) a loxodrome (B) an ellipse (C) a catenary (D) a parabola
Answer is (D)
Solution: The figure that results is a parabola, also known as a conic section. Vertical curves ... | 677.169 | 1 |
Question 252762: Here is my question:
My triangle points are A(2,5), B(12,-1) and C(-6,8).
What is the slope of the perpendicular bisector of AB? What is the slope of CL if CL is the altitude from point C?
I have been working on this for a while and appreciate any help with explanation.
Thanks.
Question 250431: A lands... | 677.169 | 1 |
Quilting Tips: Setting Triangles
When you position quilt blocks on point (also called a diagonal set), you need to fill in the outer edges of the quilt with triangle-shaped cuts of fabric. Triangles along the side of the quilt are called side setting triangles. Corner setting triangles fit the corners of the quilt.
It'... | 677.169 | 1 |
he trigonometric functions are among the most fundamental in mathematics. They were initially developed to aid in the measurement of triangles and their angles, and they are useful in such practical fields as surveying and navigation. However, their importance to pure and applied mathematics extends far beyond these us... | 677.169 | 1 |
Finding circle center from two points and an arc length
Finding circle center from two points and an arc length
I'm trying to find the equation for a circle given two points in x, y and the starting angle, arc length, and two points along the circle. I need to find the equation because I need to translate a sprite alon... | 677.169 | 1 |
Pythagorean Theorem Practice one double sided worksheet with practice Pythagorean Theorem problems.
There are 8 problems:
3 pictures of right triangles with a missing side
2 coordinate systems to find distance between two points
(shows that the distance formula is just Pythagorean Theorem)
3 odd shapes where one must u... | 677.169 | 1 |
As an example, if your bottom right hand corner of the paper is one hundred percent, then the bottom left hand corner would be zero percent. The lines which lay horizontally indicate the different amount of your third component. If the top of the triangle is one hundred percent then the bottom would be zero percent. Wh... | 677.169 | 1 |
Definition of a Circle
You've known all your life what a circle looks like. You probably know how to find the area and the circumference of a circle, given its radius. But what is the exact mathematical definition of a circle? Before you read the answer, you may want to think about the question for a minute. Try to thi... | 677.169 | 1 |
A2. Find all positive integers which divide 1890·1930·1970 and are not divisible by 45.
A3. The function f(x, y) is defined for all real numbers x, y. It satisfies f(x,0) = ax (where a is a non-zero constant) and if (c, d) and (h, k) are distinct points such that f(c, d) = f(h, k), then f(x, y) is constant on the line ... | 677.169 | 1 |
2. AB and CD are two fixed parallel chords of the circle S. M is a variable point on the circle. Q is the intersection of the lines MD and AB. X is the circumcenter of the triangle MCQ. Find the locus of X. What happens to X as M tends to (1) D, (2) C? Find a point E outside the plane of S such that the circumcenter of... | 677.169 | 1 |
Let's take (A),
X > Y means nothing, for e.g. if X = 135 and y = 45, then the line segments are equal. The length will contract and expand from one side of the 90 deg to the other. So if we draw a perpendicular line (i.e. assume x = 90, then the lengths are same for each degree either side). Not useful.
Take (B), as in... | 677.169 | 1 |
Trigonometry
The Canadarm2 robotic manipulator on the International Space Station is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end of the arm requires repeated use of trigonometric functions of those angles.
Trigonometry (from Greektrigōnon "triangle" + met... | 677.169 | 1 |
Plotting a Cycloid
This animation shows how a point on a moving circle generates a cycloid.
(See notes below.)
The curve traced out by a point fixed to a circle as the circle rolls without
slipping along a straight line is called a cycloid. The cycloid frequently appears
in elementary calculus textbooks as an example o... | 677.169 | 1 |
math From the given circle equation you would have to know that its centre is (0,0) and its radius is √40 Notice that both A and B satisfy the equation of the circle, so A and B lie on the circle and AB is indeed a chord. In a) you are probably expected to illustrate the ...
Thursday, October 9, 2008 at 5:11pm by Reiny... | 677.169 | 1 |
as follows: (1) draw a radius of the disk, passing
through p, (2) draw a rectangle with a corner at
the point where this radius meets the boundary of D, and the
opposite corner located on the same radius, just large enough so
that p is in the interior of the rectangle.
Question: What is the location of the second corn... | 677.169 | 1 |
-Angles that are supplementary to the same angle or to congruent angles are congruent
-Angles that are complementary to the same angle or to congruent angles are congruent
-All right angles are congruent
-Vertical angles are congruent
-Perpendicualr lines intersect to form 4 right angles
-a + b = c . (angle addition th... | 677.169 | 1 |
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