What is the average of all the prime numbers which are less than 35?
Prime numbers which come before 25 are = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31. So, sum = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 = 160 Desired average = 160/11
If sinA = 3/5 and cosB = 12/13, where A and B are in the first quadrant, find sin(A + B).
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