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kozerog [31]
3 years ago
8

What is the measure of L in

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Use trigonometry to find L.

Tangent = opposite over adjacent on any right triangle.

tan(L) = 18/23

Take the inverse on both sides.

arctan(tan(L)) = arctan(18/23)

L = 38.0470425318

L = 38.05°

Done.

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a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spheri
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The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

<h3>What is the approximate amount of water that remains in the tub?</h3>

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

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  • h = height
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3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³  -  1607.68 in³ = 3479.12 in³

To learn more about the volume of a sphere, please check: brainly.com/question/13705125

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