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m_a_m_a [10]
3 years ago
10

What is the ratio of the volumes of two similar prisms if the ratio of their sides is 3 : 7?

Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

Step-by-step explanation:

The ratio of the sides is the same as the one-to-one measure of the similar figures.  To get to the ratio of their areas, square the one-to-one values.  To get to the ratio of their volumes, cube the one-to-one values.

If the one-to-one is 3:7, then the ratio of their volumes is

3³:7³ which is 27:343

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The width is 7 and the diagonal is 25 what is the height
Korvikt [17]
The height is 24.

We can use Pythagorean’s Theorem: a^2+b^2=c^2

substituting values we get:

a^2+7^2=25^2

Solving we get:
a^2+49=625
a^2=576
a=24.

So the height is 24.

Hope this helps!
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d1i1m1o1n [39]

<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

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3 years ago
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