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1 year ago

When completely filled, a spherical storage tank

Mathematics

1 answer:

mamaluj [8]1 year ago

6 0

Answer:

radius: 12

Given the following:

Volume of sphere: 7,240

Formula of volume of sphere:

Volume = 4/3 π (radius)³

Find radius:

4/3 π (radius)³ = 7,240

change sides

(radius)³ = 7,240/(4π/3)

simplify

(radius)³ = 1728.422682

cube root on both sides

radius = ∛1728.422682

simplify

radius = 12

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3 years ago

Evaluate and simplify the following complex fraction.

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3 years ago

The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from

Cerrena [4.2K]

Answer:

Height of flag pole to the nearest foot is 43 feet

Step-by-step explanation:

In the diagram we have flag pole AB and C is the point on the ground.

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and the distance of the point C from the base B is 75 feet

so we have

BC= 75 feet

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AB= h feet

now in right ΔABC

$tan C = \frac{opposite \ side }{base} \\tan C=\frac{AB}{BC}$

now we plug AB= h , ∠C= 30° and BC =75

$tan 30= \frac{h}{75}$

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Height of flag pole to the nearest foot is

h= 43 feet

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3 years ago

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