Answer: C. 10
Explanation:
Take half right triangle from the isosceles triangle:
We get side lengths:
12/2 = 6, 8, and x
And use Pythagorean’s theorem to find x:
6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
7/10s of 40 would be 28 so that leave 12 hours to work inside
Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
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8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
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Of course, nCk = n!/(k!(n-k)!)
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