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Andre45 [30]
3 years ago
12

Estimate \sqrt(80) the nearest tenth. Then locate \sqrt(80)on a number line.Estimate \sqrt(80) the nearest tenth. Then locate \s

qrt(80)on a number line.

Mathematics
1 answer:
Lina20 [59]3 years ago
8 0

Answer:

  8.9

Step-by-step explanation:

We know that 81 = 9², so √80 will be slightly less than 9. We can get a pretty good estimate by averaging 9 with 80/9. That result is 8.94, so about 8.9.

The attached graph shows that point on a number line.

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Answer:

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Step-by-step explanation:

Factor constant terms:

-2(-4sin(2\theta)+sin(\theta))=0

Divide both sides by -2:

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Expand trigonometric functions using the fact:

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So:

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Factor sin(x) and constant terms and multiply both sides by -1:

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Split into two equations:

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For (1)

Add 1 to both sides and divide both sides by 8:

cos(\theta)=\frac{1}{8}

Take the inverse cosine of both sides:

\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z

For (2)

Simply take the inverse sine of both sides

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Therefore, the solutions are given by:

\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\

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Answer:

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Step-by-step explanation:

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