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stellarik [79]
3 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

2\sqrt{5}

Step-by-step explanation:

this is a 30-60-90 Δ and the ratio of the sides are 1 : \sqrt{3} : 2

1 / 2 = \sqrt{5} / x

cross-multiply: x = 2\sqrt{5}

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shusha [124]

Hi there! :)

Answer:

\huge\boxed{V = 359.01 mm^{3} }

Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:

Find the area of the base:

b = π(7)²

b = 49π

b = 153.86 mm²

Find the volume:

V = 1/3(153.86 · 7)

V = 1/3(1077.02)

V = 359.006 ≈ 359.01 mm³.

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3 years ago
Rewrite the equation below in standard form.
eduard
Rewrite the equation below in standard form.
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Step-by-step explanation:

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