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goblinko [34]
3 years ago
14

Which number is greatest? 2.89 x 10- O 1.997 x 102 8.9x10-6 o O Ex. 106

Mathematics
1 answer:
vitfil [10]3 years ago
8 0
2.89x10- is the correct answer
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Find an exact value cos(19pi/12)
dmitriy555 [2]

cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}

Step-by-step explanation:

We know that

          cos 2x = 2cos²x - 1

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          cosx=\sqrt{\frac{1+cos2x}{2}}

Substituting x=\frac{19\pi}{12}

         cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos2\left ( \frac{19\pi}{12}\right )}{2}}\\\\cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos\left ( \frac{19\pi}{6}\right )}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1+cos570}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{2-\sqrt{3}}{4}}\\\\cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}

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2 years ago
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I’m confused on the type of angles these are and how to solve them . (Parallel lines and Transversals)
svp [43]

Answer:

7) 49°

8) 77°

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Step-by-step explanation:

7) The angles are between the parallel lines, so are "interior." They are on opposite sides of the transversal, so are "opposite interior" angles. Such angles are congruent, so ...

... ? ≅ 49°

8) The angles are adjacent interior angles, so are supplementary.

... ? + 103° = 180°

... ? = 77°

9) The angles are outside the parallel lines, so are "exterior." They are on opposite sides of the transversal, so are "opposite exterior" angles. Such angles are congruent.

... ? ≅ 87°

10) These are vertical angles, so are congruent. (The other parallel line is irrelevant and doesn't need to be there for this relationship to be true.)

... ? ≅ 135°

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3 years ago
Classify the triangle based on the side lengths 9 40 41
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Answer:

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Step-by-step explanation:

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