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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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Wittaler [7]

Answer:

  less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

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A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

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  = 10/30 + 6/30 + 15/30

  = 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

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which is less than 1.5.

4 0
3 years ago
A researcher is interested in determining the mean energy consumption of a new
Nana76 [90]

Answer:

The most appropriate  value of the critical value is 2.289.

Step-by-step explanation:

We are given that a researcher takes a random sample of 41 bulbs and determines  that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.

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Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.

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7 0
3 years ago
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mafiozo [28]
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</span>
6 0
3 years ago
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7nadin3 [17]

Answer:

Q' (-3,4)

Step-by-step explanation:

A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3

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3 years ago
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