which represents the value of c? law of sines: $\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}$

Answer:

First, find angle (A): (A=180^{\circ}-95^{\circ}-45^{\circ}=40^{\circ}). By the Law of Sines (\frac{\sin(A)}{a}=\frac{\sin(C)}{c}), where (a = 3.0) cm, (A = 40^{\circ}), (C=45^{\circ}). We can rewrite it as (c=\frac{(3)\sin(45^{\circ})}{\sin(40^{\circ})}). So the answer is (c=\frac{(3)\sin(45^{\circ})}{\sin(40^{\circ})})