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Aleks04 [339]
3 years ago
6

Twenty-one people in a room have an average height of 5 feet 6 inches. a 22nd person enters the room. how tall would he have to

be to raise the average height by 1 inch?
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
The person would need to be 22 inches taller than the average, that is, 7 ft 4 inches tall.
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Which equation can be solved to find one of the missing side lengths in the triangle?aB60512 unitsАCOS(60°) =22 믕cos(60°) = 12Su
Mekhanik [1.2K]

In a right rectangle, we have:

\sin \alpha=\frac{opposite}{hypotenuse}\cos \alpha=\frac{\text{adjacent}}{hypotenuse}

For your exercice, hypotenuse=12

The exercise also inform the angle 60°, then:

\sin \text{ 60}=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{b}{12}\cos 60=\frac{adjacent}{\text{hypotenuse}}=\frac{a}{12}

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If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact
Serhud [2]

The exact measure of the angle is 45°.

<h3>How to get the angle?</h3>

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

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And we can rewrite:

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Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

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Answer: X = -2

Step-by-step explanation:

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