Question

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

Explanation:

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 \(c=\frac{(3)\sin(45^{\circ})}{\sin(40^{\circ})}\)