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)
7(10 visits) ≤ 68
70 ≤ 68
Not Viable
7(9 visits) ≤ 68
63 ≤ 68
Viable
The first solution is not viable because 10 visits will give a total cost of $70 per month, which is $2 over his monthly budget of $68.
The second solution is viable. He could visit the gym a maximum of 9 times per month for a total of $63 a month and that will be under his $68 monthly budget.
Hope this helps! :)
Answer:
144
Step-by-step explanation:
12x12=144
I can add u to a snap gc where we help each other with work
