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exis [7]
1 year ago
6

Use the permutation formula below to find the number of outcomes when n = 5 and r = 2.

Mathematics
1 answer:
faltersainse [42]1 year ago
8 0

nPr =  \frac{n!}{(n - r)!}

5P2 =  \frac{5!}{(5 - 2)!}  =  \frac{5 \times 4 \times  3 \times 2 \times 1}{3 \times 2 \times 1}  = 20

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A.) 170<br> B.) 300<br> C.)280<br> D.)155<br> Please help me
pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

5x-10=\frac{1}{2}(195-(8x+17))

which simplifies down a bit to

5x-10=\frac{1}{2}(195-8x-17) which simplifies down a bit more to

5x-10=\frac{1}{2}(178-8x) Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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