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3 years ago

Find the Prime Factorization of -165

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Answer:

(-1)(11)(3)(5)

Step-by-step explanation:

First off: -165 separates into the factors (-1) and (165). Next, we divide 165 by 15, obtaining 15(11).

So far, we have (-1)(11)(15).

15 is still factorable. We get:

(-1)(11)(3)(5), which is the desired prime factorization of -165.

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Answer:

The height of the second cone is 2 h₁.

Step-by-step explanation:

The volume of a cone is:

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The volume of the first cone is, V₁ = 5 in³.

The volume of the second cone is, V₂ = 10 in³.

The two cones have the same base diameters.

This implies that the two radii are same, i.e. r₁ = r₂.

Compute the height of the second cone as follows:

$r_{1}=r_{2}$

$\frac{3\cdot V_{1}}{\pi\ h_{1}}=\frac{3\cdot V_{2}}{\pi\ h_{2}}$

$\frac{V_{1}}{h_{1}}=\frac{V_{2}}{ h_{2}}$

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$h_{2}=2\ h_{1}$

Thus, the height of the second cone is 2 h₁.

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