Answer:
15
Step-by-step explanation:
Of means multiplication
So
![\frac{3}{4} \sf{of} \frac{16}{21} = \frac{3}{4} \times \frac{16}{21}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%5Csf%7Bof%7D%20%20%5Cfrac%7B16%7D%7B21%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20%20%5Cfrac%7B16%7D%7B21%7D%20)
And then simplify the numerator ad denominator
=
![\frac{3 \times 16}{4 \times 21} = \frac{\ 1 \times 16}{4 \times 7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%5Ctimes%2016%7D%7B4%20%5Ctimes%2021%7D%20%3D%20%20%5Cfrac%7B%5C%201%20%5Ctimes%2016%7D%7B4%20%5Ctimes%207%7D)
And simplify the numerator and denominator again
=
![\frac{\ 1 \times 16}{4 \times 7} = \frac{\ 1 \times 4}{1 \times 7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%201%20%5Ctimes%2016%7D%7B4%20%5Ctimes%207%7D%20%3D%20%5Cfrac%7B%5C%201%20%5Ctimes%204%7D%7B1%20%5Ctimes%207%7D)
And we are finally left with the answer which is
Answer:Substitute the given values in the Law of Sines and find that the measure is 24.72°
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) =
tan(∠A) = ![\frac{8}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B7%7D)
∠A = ![\text{tan}^{-1}(\frac{8}{7})](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5E%7B-1%7D%28%5Cfrac%7B8%7D%7B7%7D%29)
∠A = 48.814
≈ 48.81°