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sp2606 [1]
3 years ago
11

After exercising, Malik checked his heart rate it was beating at 90 beats per minute. After 20 minutes he rechecked his heart ra

te it was 55 beats per minute. What is the percent decrease in his heart rate?
Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

39%

Step-by-step explanation:

Hope this helped!

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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:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

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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