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3 years ago

Given that the measure of ∠x is 90°, and the measure of ∠y is 53°, find the measure of ∠z. ?°

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

The 3 inside angles of a triangle need to equal 180 degrees.

You are given X and Y, so you would subtract both of those from 180 to find Z:

Z = 180 - 90 - 53 = 37 degrees

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Verify the identity. cot(x - pi/2) = -tan(x)

gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

$\cot(x-\frac{\pi}{2})=-\tan(x)$

Convert the cotangent to cosine over sine:

$\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)$

Use the cofunction identities. The cofunction identities are:

$\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)$

To convert this, factor out a negative one from the cosine and sine.

$\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)$

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

$\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)$

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3 years ago

Is -8 rational or irrational

ANEK [815]

Answer:

rational

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number

Kono Dio Da!!!

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3 years ago

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Eden has a part time job. She gets paid £7. 20 per hourthis week she worked for 18 1/2 hourswork out Eden's total pay for this w

Dafna1 [17]

Answer:

$133.20

Step-by-step explanation:

Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.

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2. Multiply 0.50 by 7.20 to get 3.60.

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2 years ago

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pav-90 [236]

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3 years ago

Can someone explain how we solve this problem

riadik2000 [5.3K]

It is look so x=? so if it was 2 then it would be
2-1 = 2+1
_______ which is wrong so that's how to do it which is x?
2+5 = 2-7

the answer is 1/7 so ya its D.1/7 :) hope i helped

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3 years ago

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