Solve each triangle. round each side length to the nearest tenth and angle measures to the nearest degree. a= 14, c= 20, b= 38 degrees.

Okay after scratching my head and some scrap paper :P  I was really surprised to see that I don't remember ever running into this before...

Using the Law of Cosines we find the third side.

c=√(196+400-560cos38)≈12.4384  (we can round further for the final answer)

Now using the Law of Sines for the other angles.

sin38/12.4384=sinA/14=sinB/20

A=arcsin(14sin38/12.4384)≈43.8645°

BUT what I didn't realize before is that B was obtuse which means:

B=180-arcsin(20sin38/12.4384)≈98.135°

So solved for sides and angles (with rounding asked for)

(14, 44°), (12.4, 38°), and (20, 98°)

On monday,mrs.wise bought 3 lbs of apples at $4per lb= 4*3=$12on tuesday ,20%off and she buy 5 lbs of apples = $4-20%=3.20*5lb=$16example: other wise when she buy 5lbs on monday she have to spend 4*5=20

Ais the correct answer