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

Mathematics

1 answer:

faltersainse [42]2 years 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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The exact value of cos5pi/12 is:

jonny [76]

Step 1: Convert $\frac{5\pi }{12}$ , which is in radians into degrees. To convert it multiply by $\frac{180}{\pi }$

$\frac{5\pi }{12} =\frac{180}{\pi }$

900/12

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = $\frac{\sqrt{2} }{2}$

cos30 = $\frac{\sqrt{3} }{2}$

Step 3: Add the cos45 and cos30 to get cos5pi/12

$\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}$

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Answer:

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Step-by-step explanation:

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4 years ago

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7.25 until 8.00 = 35 minutes

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3 years ago

Can u pls help me? It's kinda important so if u see this just check it and see if u can answer