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Natasha2012 [34]
2 years ago
9

if the product of two positive fractions a and b is 15/56 find three paris of possible values for a and b

Mathematics
1 answer:
Daniel [21]2 years ago
7 0

That will be easy. It could be 12/56+3/56 or, 7/56+8/56 or, 10/56+5/56.

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If cos theta=-3/5 in quadrant 2 what is sin theta?<br><br> A:4/5<br> B:3/4<br> C:-3/4<br> D:-4/5
Scrat [10]
Answer: Choice A) 4/5

-------------------------------------------

Work Shown:

cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5

The fact that sine is positive in quadrant 2 means that the result is positive.
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