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3 years ago

Overlapping triangles

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

Overlapping triangles are triangles that occupy some of the same space. They share lines or angles! Sometimes it is beneficial to pull the triangles apart and look at them separately in order to use them in math problems. Just like workers' duties can overlap, so can the area of triangles!

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So lonely have no friend

Assoli18 [71]

Answer:

NOICE

Step-by-step explanation:

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3 years ago

Jasmine thinks that the images are the same because they are both isosceles triangles. Do you agree with Jasmine why or why not?

lorasvet [3.4K]

Answer:

No, images are not same as their dimensions are different although two sides in each of the two triangles are equal.

Step-by-step explanation:

Given: images of two isosceles triangles.

To check: if images are the same

Solution:

A triangle is a polygon made up of three sides.

An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.

The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.

6 0

4 years ago

Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z

vovikov84 [41]

Plug $y=x^2$ into the equation of the ellipsoid:

$x^2+7(x^2)^2+7z^2=49$

Complete the square:

$7x^4+x^2=7\left(x^4+\dfrac{x^2}7+\dfrac1{14^2}-\dfrac1{14^2}\right)=7\left(x^2+\dfrac1{14}\right)^2+\dfrac1{28}$

Then the intersection is such that

$7\left(x^2+\dfrac1{14}\right)^2+7z^2=\dfrac{1371}{28}$

$\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}$

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

$x(t)^2+\dfrac1{14}=\sqrt{\dfrac{1371}{196}}\cos t\implies x(t)=\pm\sqrt{\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}}$

$y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}$

$z=\sqrt{\dfrac{1371}{196}}\sin t$

(Attached is a plot of the two surfaces and the intersection; red for the positive root $x(t)$ , blue for the negative)

4 0

4 years ago

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Sonja [21]

Read.................

3 0

3 years ago

the sum of four times the first number and three times the second number is 15. the difference of three times the first number a

Nana76 [90]

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

5 2/3x=17

x=3

Now we can plug our x into the first equation to find y.

12+3y=15

y=1

Our numbers are 3 and 1.

I hope this helps!

3 0

3 years ago

Overlapping triangles ​

Overlapping triangles