4 years ago

Please help urgent!!! does 3 3/10 + 2 4/5 + 2 1/10 = 8.2?

Mathematics

1 answer:

Advocard [28]4 years ago

4 0

Answer:

Yes

Step-by-step explanation:

Yes, 3 3/10 + 2 4/5 + 2 1/10 is equal to 8.2 because 3 3/10 + 2 4/5 + 2 1/10 is 41/5 and that into a mixed number is 8 1/5 and THAT into a decimal is 8.2

Hope this helped!

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3 years ago

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Can somebody please help me? (PreCalc

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$\csc\theta=\dfrac1{\sin\theta}=\dfrac{\sqrt{17}}}4\implies\sin\theta=\dfrac4{\sqrt{17}}$

Recall that $\sin^2\theta+\cos^2\theta=1$ , which means

$\cos\theta=\pm\sqrt{1-\sin^2\theta}=\pm\sqrt{1-\dfrac{16}{17}}=\pm\dfrac1{\sqrt{17}}$

Since $\tan\theta=\dfrac{\sin\theta}{\cos\theta}>0$ , and $\sin\theta>0$ , it follows that $\cos\theta>0$ too, so you take the positive root:

$\cos\theta=\dfrac1{\sqrt{17}}$

Therefore

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac1{\sqrt{17}}}{\frac4{\sqrt{17}}}=\dfrac14$