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IRINA_888 [86]
3 years ago
12

A sphere has a radius of 25 ft . Find the surface area S of the sphere

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

Answer:

Step-by-step explanation:

The appropriate formula here is

S = 4·π·r²

and with r = 25 ft, we obtain:

S = 4·π · (25 ft)²  = 4 · π · 625 ft²

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Given:

Angle A = 18.6°

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To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

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Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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