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Annette [7]
3 years ago
14

Round the number 411 to the tens place

Mathematics
1 answer:
mart [117]3 years ago
3 0

Answer:

Step-by-step explanation:

411 rounded to the tens place is 410

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If you know that \sin\dfrac\pi3=\dfrac12, then you know right away

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###

Otherwise, you can derive the same result. Let \theta=\sin^{-1}\dfrac12, so that \sin\theta=\dfrac12. \sin^{-1} is bounded, so we know -\dfrac\pi2\le\theta\le\dfrac\pi2. For these values of \theta, we always have \cos\theta\ge0.

So, recalling the Pythagorean theorem, we find

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Then

\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3

as expected.

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b or c

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