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4 years ago

Please please help!!!!!

Mathematics

1 answer:

serious [3.7K]4 years ago

6 0

Answer:

$188\sqrt{2}-8\sqrt{5}$ feet

Step-by-step explanation:

Well the perimeter is the sum of all sides that means

P= lenght + width + lenght + width

P=2(lenght + width)

$P=2(2\sqrt{8}+3\sqrt{5}+45\sqrt{8}-7\sqrt{5} )\\\\P=2((2+45)\sqrt{8}+(3-7)\sqrt{5})\\\\P=2(47\sqrt{8}-4\sqrt{5})\\\\P=2(94\sqrt{2}-4\sqrt{5})\\\\P=188\sqrt{2}-8\sqrt{5}$

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10.) Find the exact value of cos⁡(2 sin^(−1)⁡(3/5) ). Do not use a calculator and show your work!

Talja [164]

Double angle identity for cosine:

$\cos\left(2\sin^{-1}\dfrac35\right)=\cos^2\left(\sin^{-1}\dfrac35\right)-\sin^2\left(\sin^{-1}\dfrac35\right)$

By the Pythagorean theorem, if $\sin x=\dfrac35$ , it follows that $\cos x=\dfrac45$ :

$\cos^2x+\sin^2x=1\implies \cos x=\pm\sqrt{1-\sin^2x}$

where we take the positive root because $-\dfrac\pi2\le\sin^{-1}x\le\dfrac\pi2$ , and $\cos x$ is non-negative throughout this domain.

So we have

$\cos^2\left(\sin^{-1}\dfrac35\right)-\sin^2\left(\sin^{-1}\dfrac35\right)=\left(\dfrac45\right)^2-\left(\dfrac35\right)^2=\dfrac7{25}$

3 0

3 years ago

If g(x) = 5x + 16; then g(-2) =

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

g(x)= 5x + 16

g(x)= 5(-2) + 16

g(x)= -10 + 16

g(x)= 6

5 0

3 years ago

I need help asap! :')

swat32

Answer:

w=45

Step-by-step explanation:

w = 9 / 1/5

w = 9 x 5

w = 45

Hope that helps!

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3 years ago

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kap26 [50]

Answer:

5x - 68 = x

Step-by-step explanation:

number = x

5x - 68 = x

Solve for x:

5x - 68 = x

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Answer:

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Step-by-step explanation:

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