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andriy [413]
3 years ago
13

Need help what is the answer, please.

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

V = 405.04

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

V = 3.14(6.1²)(10.4/3)

V = 3.14(37.21)(10.4/3)

V = 405.04

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2 years ago
The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

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The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

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= tan⁻¹(134.21/62.43)

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= 65.05°

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The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

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3 years ago
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