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wolverine [178]
3 years ago
13

16^10 x 16^4 need the work

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

Answer:

16^{10}*16^{4}  \\= 16^{14}

Property used: a^{m} * a^{n} = a^{m+n}

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Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?
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Finding the equivalent angle of \theta, the correct statements are given as follows:

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<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

\theta = \frac{5\pi}{4}

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

More can be learned about equivalent angles at brainly.com/question/24787111

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