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)
45 black dogs because 2/3 of 60 is 45
Answer:
Step-by-step explanation:
1/9
(1*4) / (9*4) = 4/36
(1*4) / (9*4) = 5/45
The first one is the ratio as it is stated in the problem.
The second one multiplies top and bottom by 4
The third one multiplies top and bottom of the top ratio by 5.
Two small rectangle at the end areas are:
3x5=15
15x2=30
Longer middle rectangle is:
Length:5+3+5+3=16
Width:9
16x9=144
30+144=174
Answer:
it would be 10
Step-by-step explanation: