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kramer
2 years ago
14

Question 3 of 10

Mathematics
1 answer:
ella [17]2 years ago
3 0

Answer:

D

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( r is the radius ), thus

V = \frac{4}{3}π × 5³

   = \frac{4}{3}π × 125 = \frac{4(125)}{3}π =  \frac{500}{3}π units³ → D

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Answer: OPTION C.

Step-by-step explanation:

Observe the triangle ABC attached.

Notice that the angle of depression is represented with \alpha.

Knowing that the top of a lighthouse is 260 feet above water and the ship is 270 feet offshore, you can find the value of  \alpha by using arctangent:

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In this case you can identify that:

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