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Ksenya-84 [330]
2 years ago
13

Find the length of the leg x of the right triangle shown below.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
3 0

Answer

9.327

16*16= 256

13*13=169

256-169=87

87 squared=9.32737905309

9.32737905309 ROUNDED TO NEAREST THOUSANDTH= 9.327

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Find the volume of the composite solid. Round your answer to the nearest tenth
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Answer:

V = 1206.3 ft^{3}

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

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V(cylinder) = \pi x 8^{2} x 4

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V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = \frac{\pi r^{2}h }{3}. This is the area of the circular part of the cone (\pi r^{2}), multiplied by the height from the point to the base, all divided by 3.

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V(cone) = \frac{\pi 8^{2} 6 }{3} (On the top it's \pi x 8^{2} x 6)

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To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 ft^{3}

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