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Nadusha1986 [10]
3 years ago
7

The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. True or False?

Mathematics
2 answers:
Svetllana [295]3 years ago
5 0

Answer:

The given statement is false.

Step-by-step explanation:

The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges.

This statement is false.

A polyhedron is a shape that has no gaps between their edges or vertices. Like - a cube, prism, or pyramid.

Take in consideration, the cube.

Volume of cubes is given by = side\times side\times side = side^{3}

A similar cube will be the one with same dimensions. So, in no way, their volume can be equal to the square of the ratio between their edges.

ad-work [718]3 years ago
3 0

Answer:

true

Step-by-step explanation:

t is true that; the ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges.


Explanation;

The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.

The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids. such that;  Area scale factor is given as the square of the linear scale factor; that is A.S.F = (L.S.F)².

Additionally, the linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor; such that the volume scale factor is given by the cube of area scale factor.


Read more on Brainly.com - brainly.com/question/3947569#readmore

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AleksandrR [38]
<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...

In a more written out way, the steps would be

slope = rise/run

slope = (y2-y1)/(x2-x1)

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

3 0
3 years ago
Assume that y varies directly with x. If y=9 when x=−3, find x when y=6.
Dafna1 [17]

Answer:-2

Step-by-step explanation:

8 0
3 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

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Step-by-step explanation:

The given polynomial equation is

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We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

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(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

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The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
4 years ago
Solve for x. −23(3x−4)+3x=56
labwork [276]

Answer:

x = 6/11

Step-by-step explanation:

−23(3x−4)+3x=56

Distribute

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Combine like terms

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Subtract 92 from each side

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7 0
3 years ago
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Ilya [14]
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4 0
3 years ago
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