Please help with this question

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

9514 1404 393

Answer:

27.932 in

Step-by-step explanation:

The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:

y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees

The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.

y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.

The valve cap is 27.932 in. above the ground.

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Step-by-step explanation:

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Pls help giving all my points!! Find the probability of “landing” in the shaded region of the figures below. Round your answer t

34kurt

The probability of landing on the shaded region of the figure is 0.10

<h3>How to find the probability of landing on the shaded region?</h3>

The probability of landing on the shaded region can be calculated as follows;
area of the bigger circle = πr² = 3.14 × 25² = 1962.5 cm²

area of the smaller region = πr² = 3.14 × 8² = 200.96 cm²

Therefore,

the probability of landing on the shaded region of the figure = 200.96 / 1962.5

the probability of landing on the shaded region of the figure = 0.10