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Precalculus
the segment perpendicular to the transverse axis of a hyperbola through its center.
4.
the midpoint on a point of a line segment joining the foci.
5.
the axis of symmetry of an ellipse which does not contain the foci.
6.
the study of coordinate geometry form an algebraic perspective.
8.
one of the two segme... | 677.169 | 1 |
Re: Square in a triangle
Re: Square in a triangle
First I was wary about helping, because as you used phrases such as 'as an extension' and 'generalise', it looked suspiciously like something that you had to do for school. However, due to a combination of the facts that it has now been quite a long time, so if it was w... | 677.169 | 1 |
Powder Springs, GA Trigonometry and am still responsible for managing students needs. This includes, homework, needs assessment and communication style. I have worked with over 300 middle and high school students in this topic.
...Trigonometry comes from combination of Greek word "trigon" meaning triangle and "metron" ... | 677.169 | 1 |
decorating it as irregular shapes. rotations and
they wish. Use reflections of
each student's congruent figures
preferred shape (see Esc her designs
13
to create a class
plan for the etropolis.com/escher/
quilt. (use a
variety of
geometric
shapes).
5. Use physical models to Go to a store and Examine the Fit cubicles in... | 677.169 | 1 |
In an isosceles triangle the base is a whole number and is 4 ft. less than the sum of the two equal sides. The perimeter is a whole number between 0 and 75 feet. Find the possible lengths of the equal sides.
What ive got so far is
4x-4=Perimeter
What i dont get is how im sopposed to get the answer with the imformation ... | 677.169 | 1 |
What is the ratio of the area of ΔABC to ΔEBD?
Given:
The line passing through E and D is tangent to the circle at D.
AC = AB
CAB is a right angle.How many solutions are there to,
A says)21 solutions.
B says) Nope! That is too high.
C says) I counted them, there are 8.
D says) I like 21 too.
E says) I agree with BWell,... | 677.169 | 1 |
cos(a) sin(b) tan(a) cot(b) b; radians ... The values in the table are those angles of the form n ... This gives the sin, cos and tan of 45°. Here is an equilateral triangle where all sides and all angles are equal (to 60°).
A unit circle chart is a chart or sometimes a table that has the most important values of the s... | 677.169 | 1 |
A circle of radius 1 is drawn in the plane. Four non-overlapping circles each of radius 1, are drawn (externally) tangential to the original circle. An angle ã is chosen uniformly at random in the interval [0,2ð). The probability that a half ray drawn from the centre of the original circle at an angle of ã intersects o... | 677.169 | 1 |
Unit 5 Review Sheet
Logic & Triangles
Learning Goal 1: Students will use logic and reasoning to make conjectures MM1G2 a, b
Knowledge and Understanding:
1. Your teacher writes the following sequence of numbers on the board: 3, 7, 11, and 15. He tells
you that each number in the sequence is 4 more than the number before... | 677.169 | 1 |
(e) A logarithmic function
31. Refer again to Fig. T-0-2. The coordinate system in this illustration is
(a) polar.
(b) spherical.
(c) semilog.
Fig. T-0-2 Illustration for Part Zero Test Questions 30 and 31.
(d) log-log.
(e) trigonometric.
32. Suppose that there are two vectors. Vector a points straight up with a magnit... | 677.169 | 1 |
We can draw a right triangle with an angle of measure x and a hypotenuse of length 35. If we label the side opposite the angle x with variable O, and the side adjacent to (next to) angle x by A, then we get the picture in Figure 5.32.
We know that sin(x) = = 0.73, so 0 = 35 · (0.73) = 25.55.
To find the length of the a... | 677.169 | 1 |
I've already got a test to determine that the line segment does not intersect with the cube, but now I need to determine the distance. I've got a few ideas, but I'm looking for the fastest known solution. Any suggestions?
Two things are infinite: the universe and human stupidity; and Im not sure about the universe. -- ... | 677.169 | 1 |
Common Core Standards: Math
Math.G-CO.6
6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
The words "rigid" and "motion" s... | 677.169 | 1 |
A triangle is dilated by 2, translated five units to the right, and then compressed by 2. Which of the following is true?
(A) The transformations are rigid because the final triangle is congruent to the original triangle(B) The transformations are non-rigid because the final triangle is not congruent to the original tr... | 677.169 | 1 |
The angle symbol, followed by three points that define the angle, with the middle letter being the vertex, and the other two on the legs. So in the figure above the angle would be ABC or CBA. So long as the vertex is the middle letter, the order is not important. — "Angle definition - Math Open Reference",",
GOP Senate... | 677.169 | 1 |
FORMATIVE: Pretest: Lesson 1 used to determine current level of knowledge and understanding of geometry concepts. Triple-Entry Journal: Lesson 2, 3 (record vocabulary), lesson 5 (students will record vocabulary associated with the Pythagorean Theorem), lesson 7 (students will demonstrate their thinking as they develop ... | 677.169 | 1 |
Universal parabolic constant
It is defined as the ratio, for any parabola, of the arc length of the parabolic segment formed by the latus rectum to the focal parameter. It is denoted P.[1][2][3] In the diagram, the latus rectum is pictured in blue, the parabolic segment that it forms in red and the focal parameter in g... | 677.169 | 1 |
non-Euclidean
[nän′yo̵̅o̅ klid′ē ən]
adjective
designating or of a geometry that rejects any of the postulates of Euclidean geometry, esp. the postulate that through a given point only one line can be drawn parallel to another line that does not contain the given point
non-euclidean - Science Definition
Relating to any... | 677.169 | 1 |
The Pythagorean Identities get their name because they are based on the famous Theorem of Pythagoras. You are very likely already familiar with it. Simply, for a right angle triangle, it says "the square of the hypotenuse is the sum of the squares of the other two sides." Mathematically, you have seen this represented ... | 677.169 | 1 |
Topic review (newest first)
Very good. Did you draw a diagram on that trig problem about the house?
mathstudent2000
2013-09-03 03:48:22
thanks
bobbym
2013-09-02 13:14:09
Forcing them to computational math would reduce their numbers real quick.
anonimnystefy
2013-09-02 12:26:51
Unfortunately, that does not reduce their ... | 677.169 | 1 |
Every body has only one point at which whole the weight of body can be supposed to be concentrated, this is called center of gravity (C.G.) of the body.
For plane figures (like circle, rectangle, quadrilateral, triangle etc.), which have only areas and no mass, the point at which the total area of plane is assumed to b... | 677.169 | 1 |
54x12
What is the length of the hypotenuse of a right triangle with legs that are 7 and 24 inches long, respectively?
2
7
25
31
Kayla purchased a new phone at 31% off its original price. If she paid $34 for the phone, which of the following is an equation that could be used to find x, the original price of the phone?
3... | 677.169 | 1 |
A mnemonic to help you remember:
The C in Complementary stands for Corner, 90˚
The S in Supplementary stands for Straight, 180˚
Have a look at the following videos for further explainations of complementary angles and supplementary angles:
How to identify and differentiate complementary and supplementary angles.
This v... | 677.169 | 1 |
The exterior angle is equal to the two opposite interior angles; and the three interior angles of a triangle are equal to two right angles.
2. c) Practice Proposition 32.
13. Prove Proposition 32 by drawing a straight line DE through A 13. parallel to BC.
3. This proof is attributed to Pythagoras, who lived some 250 ye... | 677.169 | 1 |
Hal agrees that the teacher is illustrating his idea. Some students initially disagree that this idea, two circles in different planes, could be possible. In the end, the teacher and students accept Hal's idea because the question does not state that the circles must be in the same plane. Through discussing Hal's quest... | 677.169 | 1 |
Reviewing the Distance Formula between points on the Cartesian Coordinate System
To review the Distance Formula between two points on the Cartesian Coordinate System (on the x-y coordinate system):
The "Distance Formula" tells us that the difference between two y-points squared added to the difference between two x-poi... | 677.169 | 1 |
Euclid's argument is as follows:
Let ABC and DEF be two triangles having the two sides AB and AC equal to the two sides DE and DF respectively, namely AB equal to DE and AC equal to DF, and the angle BAC equal to the angle EDF.
I say that the base BC also equals the base EF, the triangle ABC equals the triangle DEF, an... | 677.169 | 1 |
The Fixed Point Theorem
Question #1: I climbed a mountain, following a trail, in six
hours (noon to 6 PM). I camped on top overnight. Then at noon the next day, I
started descending. The descent was easier, and I made much better time. After
an hour, I noticed that my compass was missing, and I turned around and
ascend... | 677.169 | 1 |
The usual reference to the Problem of Apollonius is to construct a circle tangent to three given circles. The history
of mathematics (for example, see Heath (1981, Vol. II, pp. 181-182))
indicates that Apollonius did in fact devote Book II of his treatise
to this construction. Apollonius did, however, have a lot of dev... | 677.169 | 1 |
The Application of Trigonometry
Please view the attached file to see the diagram which accompanies this question.
1. Find the length L from point A to the top of the pole.
2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B?
3. The ... | 677.169 | 1 |
Learn more: Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle
Learn more: Showing that three points uniquely define a circle and that the center o... | 677.169 | 1 |
It's pretty obvious that the points where the circles intersect are at integer multiples of some constant distance from the foci. What's not so obvious (and what I just recently realized thanks to your circle-and-line moirees) is that those points of intersection (along one particular ellipse) also are equally-spaced i... | 677.169 | 1 |
One of the criticisms of Euclid's parallel postulate was that it isn't simple.The statement of this proposition, I.30, is much simpler, and Playfair's axiom is much simpler. As they're each logically equivalent to Euclid's parallel postulate, if elegance were the primary goal, then Euclid would have chosen one of them ... | 677.169 | 1 |
Given two sides and the angle included by the two given sides, we can apply the Law of Cosines to find the missing side.
Spelling out the detail
Let's say the sides we know are and and the included angle is
We want to find the missing side
We know:
We have and . We can therefore work out the missing side as
Don't be co... | 677.169 | 1 |
The dominions of a certain Eastern monarch formed
a perfectly
square
tract of country.
It happened that the king one day discovered that his
four sons were not only plotting against each other, but were in secret
rebellion against himself. After consulting with his advisers he
decided
not to exile the princes, but to c... | 677.169 | 1 |
1 Answer
A few random thoughts (maybe they help you find a better solution) if you're using only the original sizes of the shapes:
as you point out, all shapes in the tangram can be made composed of e.g. the yellow or pink triangle (d-g-c), so try also thinking of a bottom-up approach such as first trying to place as m... | 677.169 | 1 |
Plane Geometry, The Pythagorean Theorem
The Pythagorean Theorem
If the legs of a right triangle have lengths a and b,
and the hypotenuse has length c,
the lengths satisfy a2 + b2 = c2.
For example, set a = 33 and b = 56,
and the hypotenuse has length 65.
This is the pythagorean theorem.
If the lengths of a right triang... | 677.169 | 1 |
seems easiest to me to notice the relationship between the statements and triangles. The sum of two sides of a triangle is always greater than the third side, but the sum of the squares of the sides is not always greater than the square of the third side- the Pythagorean Theorem tells us that the sum of the squares of ... | 677.169 | 1 |
You have already rated this item,
The Office of Square Trading, the government body overseeing the sale of all rectangular shapes, has been investigating the illegal sale of squares.
"There is a massive black-market trade in squares, oblongs and rectangles," said Rex Tangle, chair of the Office of Square Trading. "Peop... | 677.169 | 1 |
g. The question asked is: Is it the case that the side of any square multiplied by itself does equal half the diagonal line of the same square extended from any corner to its opposite corner when it is multiplied by itself. Since that would seem to be the same situation as that described in point c. above.
h. To clarif... | 677.169 | 1 |
How thick and long is the dowel? Given the right proportions Rob may be a winner.
Note the triangle is not connected to the square as end needs to be connected to end but the triangle does not need to be connected to the square?
Note while if we assume infinite thinness of the dowel the triangle has to be larger than t... | 677.169 | 1 |
A student seeks help coding a spherical navigation spreadsheet program. Doctor Vogler helps him
develop an algorithm that accounts for the trigonometry involved, with each drawing
on archived conversations.
I am researching Tycho Brahe and have come upon an example where he
uses [sin(a + b) + sin(a - b)]/2 to multiply ... | 677.169 | 1 |
Geometry (Encyclopedia of Science)
The term geometry is derived from the Greek word geometria, meaning "to measure the Earth." In its most basic sense, then, geometry was a branch of mathematics originally developed and used to measure common features of Earth. Most people today know what those features are: lines, cir... | 677.169 | 1 |
Dean Culver explains two methods for finding the center of a triangle in AutoCAD.
"I have found that there is usually more than one way to accomplish a task in AutoCAD. For example, I occasionally need to find the center or centroid of a triangle, and I've found two different ways to do so.
"First, I will use AutoCAD's... | 677.169 | 1 |
math find the coordinates of the missing endpoint given that p is the midpoint of NQ N(5,4) P(6,3) Q(3,9) P(-1,5)
algebra every inch on a model is equivalent to 3.5 feet on the real boat. what would be the mathmatical rule to express the relationship between the length of the model, m, and the length of the boat, b?
Ge... | 677.169 | 1 |
thats correct. In such questions very important to note whether points are collinear or not.
Praet, try to solve this and u will know when to subtract sides:
How many triangles can be formed by connecting vertices of a hexagon such that no side of triangle coincides with that of hexagon.Hope this helps.
absolutely agre... | 677.169 | 1 |
January 23rd 2009, 01:56 PM
Mush
Quote:
Originally Posted by augmata
Hello, everyone!Let denote the rotational speed of wheel 1.
Let denote the rotational speed of wheel 2.
Let denote the rotational speed of wheel 3.
Hence!
Now:
Hence:
Hence:
If they ever meet up again, then
This implies that
It also implies that:
How ... | 677.169 | 1 |
In contrast, some lengths of wire, like 20 cm, cannot be bent to form an integer sided right angle triangle, and other lengths allow more than one solution to be found; for example, using 120 cm it is possible to form exactly three different integer sided right angle triangles.
120 cm: (30,40,50), (20,48,52), (24,45,51... | 677.169 | 1 |
algebra 2
300 pts pendingThis question
has expired. 24 hours after the asker selects a Best Answer, the points will be awarded.
thiasking145
What is the intersection of a cone and a plane parallel to a line along the side of the cone? Provide mathematical examples to support your opinions. You may use
equations, diagra... | 677.169 | 1 |
2nd statement says us that the sum of squares of 2 sides (side AB and AC) is greater than the third side. This statement implies only and only that the angle contained by AB and AC is acute, i.e angle BAC is acute. Since this angle is acute, one of the other 2 angles can be greater than 90 (as in 30-30-120) or less tha... | 677.169 | 1 |
The figure shows a tangential
quadrilateral ABCD. Diagonals AC and BD meet at E. If r1,
r2, r3, and r4, are the radii
of the incircles of triangles ABE, BCE, CDE, and ADE, prove that
.
Geometry problem solving
Geometry problem solving is one of the most challenging skills for
students to learn. When a problem requires ... | 677.169 | 1 |
Position and velocity vector of point referred to equinox find figure 4 a bit puzzling. The text uses lower case phi, a vertical line with a circle in the middle, but the figure shows what is perhaps a capital phi. A looping curve. I'm guessing this is meant to be former symbol, vertical + circle,
Secondly, it looks li... | 677.169 | 1 |
Stair Parts Fig. 26 shows the development of the angle of tangents for the face mould and the bevel for springing the wreath. Draw the angle ABC on center line of rail as shown; draw dotted line from center O to B; draw DE at right angles to OB; from center B swing around A and C to D and E; set up one riser from D, t... | 677.169 | 1 |
Triangles can be classified in two ways: by their sides and by their angles. Classifying by sides is a bit easier, so let's start with that. There are three possibilities for a triangle when dealing with their sides.
A summary of Classifying Triangles in 's Special Triangles. Learn exactly what happened in this chapter... | 677.169 | 1 |
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