An image of a right triangle is shown with an angle labeled y If sin y° = 7 divided by q and tan y� = 7 divided by r, what is the value of cos y°?

cos y = r/q

Step-by-step explanation:

Sine is opposite divided by hypotenuse. Here, since sin y = 7/q, we can say that the opposite side length is 7 and the hypotenuse side length is q.

Tangent is opposite divided by adjacent. Here, since tan y = 7/r, we can say that the opposite side is 7 (just like above with sine) and the adjacent side is r.

Now, we have a triangle with its two legs labelled 7 and r and its hypotenuse labelled q.

Cosine is adjacent over hypotenuse. Because the adjacent side has a length of r and the hypotenuse has length q, we know that cos y must be r/q.

Hope this helps!

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step- i d k and i d c : )

you: : 0

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