Turn the mixed number into an improper fraction, than multiply regularly. If it's an improper fraction than divide the top number by the bottom
I think that its 12.5 percent.
Answer:
The word "ARRANGE" can be arranged in
2!×2!
7!
=
4
5040
=1260 ways.
For the two R's do occur together, let us make a group of R's taking from "ARRANGE" and permute them.
Then the number of ways =
2!
6!
=360.
The number ways to arrange "ARRANGE", where two "R's" will not occur together is =1260−360=900.
Also in the same way, the number of ways where two "A's" are together is 360.
The number of ways where two "A's" and two "R's" are together is 5!=120.
The number of ways where neither two "A's" nor two "R's" are together is =1260−(360+360)+120=660.
Step-by-step explanation:
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Answers:
tan(A) = 8/15
sin(A) = 8/17
cos(A) = 15/17
==================================================
Explanation:
The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.
Therefore,
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 8/15
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As for the other trig ratios, they are:
sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.
