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Nata [24]
3 years ago
15

I need help ASAP ! I don't understand it! Anyone??

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
6 0
The answer is <span>\frac{7}{5}
</span>
Complimentary angles: the angles added up equal 90 degrees
When you have complimentary angles, the sine of one equals the cosine of the other and vice verse
Q and P are complimentary
sin(Q)=cos(P)
cos(Q)=sin(P)

Since you know that sin(Q)=\frac{4}{5} , that also means that cos(P)=<span>\frac{4}{5}

Since sin(Q) is </span>\frac{leg}{hypotenuse} , you can use the Pythagorean Theorem to find the length of the last leg.
a^{2} + b^{2} = c^{2}
<span>a^{2} + (4)^{2} = (5)^{2}
</span><span>a^{2} + 16 = 25
</span><span>a^{2} = 9
</span><span>a = 3
</span>(It's a 3,4,5 triangle)

Now you have the length of the other leg so cos(Q)=\frac{3}{5}
cos(P)+cos(Q)
=\frac{4}{5} + \frac{3}{5}
=\frac{7}{5}

The answer is \frac{7}{5}
mina [271]3 years ago
3 0
I've shown two workings. One of them is to prove that the angles are complement to each other and the other to show that the answer is 7/5.

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