The number of possible combinations is given by
... C(18, 3) = 18!/(3!(18-3)!) = 18·17·16/(3·2·1) = 816 . . . . possible combinations
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There are 18 ways to choose the first one; 17 ways to choose the second one, and 16 ways to choose the 3rd one. The same 3 students can be chosen in any of 3! = 6 different orders, so the product 18·17·16 must be divided by 6 to get the number of possible combinations in which order doesn't matter.
12^2 +b^2 = 20^2 because of the Pythagorean theorem
144 + b^2 =400
B^2 =256
B=16
r = 7.53 so d = 2r = 2(7.53) = 15.06 cm
Area of square = d^2 / 2 = (15.06)^2 / 2 = 113.41 cm^2
Area of circle = 3.14 (7.53)^2 = 178.04 cm^2
Area of yellow region = Area of circle - Area of square
Area of yellow region = 178.04 cm^2 - 113.41 cm^2
Area of yellow region =64.63 cm^2 = 64.6 cm^2 (nearest tenth)
Answer
64.6 cm^2
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
