Question

which equation correctly uses the law of cosines to solve for y? law of cosines: $a^{2}=b^{2}+c^{2}-2bc\cos(a)$

Explanation:

Step1: Identify sides and angle

Side y opposite 41°, adjacent sides 9 and 19.

Step2: Apply Law of Cosines

\( y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41^\circ) \)

Answer:

D. \( y^2 = 9^2 + 19^2 - 2(9)(19)\cos(41^\circ) \)