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defon
3 years ago
5

A prism is dilated by a factor of 1.5. How many times larger is the volume of the resulting prism than the volume of the origina

l prism? Enter your answer as a decimal in the box.
Mathematics
2 answers:
Margarita [4]3 years ago
6 0
By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
                                    r = (1.5)³
                                      = 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism. 
Firdavs [7]3 years ago
5 0

Answer:

3.375

Step-by-step explanation:

The other answer is way better! I am just confirming that this answer is correct! :D

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Piece one would equal to 14" and piece two would be 42" because 42 is three times the length of 14

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3 years ago
5) Find the area of the composite figure.
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4 0
3 years ago
Let w = x2 + y2 + z2, x = uv, y = u cos(v), z = u sin(v). use the chain rule to find ∂w ∂u when (u, v) = (9, 0).
jasenka [17]
By the chain rule,

\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}
\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v

We also have x(9,0)=0, y(9,0)=9, and z(9,0)=0, so at this point we get

\dfrac{\partial w}{\partial u}(9,0)=2\cdot9\cdot\cos0=18
7 0
3 years ago
Which of the following are NOT lengths of the sides of a triangle?
Mkey [24]

Answer:

D

Step-by-step explanation:

3 0
2 years ago
to start to solve the system of equations below, which number would you multiply in the equation -2x-5y=-1? The two equations ar
Leviafan [203]

Answer:

  The first equation can be multiplied by 2.

Step-by-step explanation:

The x-coefficients are -2 and 4. If the first one of these is multiplied by 2, it will be the opposite of the second of these. That is 2·(-2) = -4. When -4 and 4 are added, the result is 0, so the x-variable will be eliminated.

To solve these equations by "elimination", you look for simple relationships between the coefficients that will let you combine them to get zero.

_____

Here's the rest of the solution.

  2(-2x-5y) +(4x+2y) = 2(-1) +(8) . . . . after multiplying the first equation by 2 and adding the second equation

  -4x -10y +4x +2y = -2 +8 . . . . . the result of eliminating parentheses

  -8y = 6 . . . . . the result of collecting terms

  y = -6/8 = -3/4 . . . . divide by the y-coefficient

Since all of the coefficients in the second equation are even, a factor of 2 can be removed, and the equation written as ...

   2x +y = 4

This can be solved for x, so you have ...

  x = (4 -y)/2 = 2 -(y/2)

Filling in the above value of y, we find x to be ...

  x = 2 -(-3/4)/2

  x = 2 3/8

_____

<em>Comment on eliminating y instead of x</em>

If you divide the second equation by 2 so that y has a coefficient of 1, then you can multiply this equation by 5 to give y a coefficient that is the opposite of the coefficient -5 in the first equation. Then the elimination looks like

  (-2x -5y) +5(2x +y) = (-1) +5(4)

  -2x -5y +10x +5y = -1 +20 . . . . eliminate parentheses

  8x = 19 . . . . simplify

  x = 19/8 = 2 3/8 . . . . divide by the coefficient of x

5 0
3 years ago
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