The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
NAP = 180 - NAC - PAT = 180 - 61 - 46 = 119 - 46 = 73 degrees
2 + 2 x 4 - 16 = -6
How?
Use PEMDAS.
The first step that shows up is multiplication.
2 + 8 - 16
Next comes Addition.
10 - 16
-6
Answer:
2π
Step-by-step explanation:
Area = πr^2
= π2^2
= 4π
4π is the area of the whole circle, so divide it in half to get the semicircle.
<u>= 2π</u>
Answer:
corresponding angles- 4 and 8, 3 and 7, 1 and 5, 2 and 6
same side interior angles- 2 and 5, 3 and 8
alternate interior angles- 3 and 5, 2 and 8
alternate exterior angles- 1 and 7, 4 and 6
Step-by-step explanation:
