How do you solve this problem:
2 answers:
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Answer:
The singers can finish first through fifth in 360360 ways.
Step-by-step explanation:
The order of the singers is important, because they are ranked by positions. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
Top five singers, from 15 finalists. So
The singers can finish first through fifth in 360360 ways.
Answer:
Step-by-step explanation:
In a right triangle, the two acute angles are complementary--they add up to 90 degrees.
Cosine is defined as the adjacent side divided by the hypotenuse. In the attached picture, .
The other acute angle is 90 - 18 = 72 degrees. Looking at just that angle, side <em>a</em> is the opposite side. So the ratio a/h is opposite over hypotenuse -- the sine ratio.
Therefor,