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MrMuchimi
4 years ago
6

Plzzz hellppp URGENTLY !!!!!!5,000 rounded to the nearest hundred.

Mathematics
2 answers:
irina [24]4 years ago
5 0
5000 rounded to the nearest hundredth is 5000
yaroslaw [1]4 years ago
3 0
5,000 has no decimals therefore it would be 5,000
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Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

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We need to multiply all of them because there are 3 choices for jackets, 6 for scarves and so on.

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