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3 years ago

6

martin reads 19 pages of a novel in 12 minutes. complete the proportion and use it to find x, the number of pages he reads in 42

minutes

1 answer:

Korvikt [17]3 years ago

3 0

Answer:

67 pages in 42 minutes

Step-by-step explanation:

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Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

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Answer:

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Step-by-step explanation:

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Which of the following is the solution to |x|+5<1

n200080 [17]

Answer: No solutions

Step-by-step explanation:

|x|+5<1

Subtract 5 from both sides.

|x| < -4

No solutions is possible

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Step-by-step explanation:

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