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3 years ago

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Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/

2 hour. For the remainder of the time, Daniel read stories. How much time did Daniel spend reading stories?

1 answer:

____ [38]3 years ago

8 0

Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

Sorry I dont have time :(

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Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

$csc^2\theta=cot^2\theta+1$

Knowing that $cot\theta=\frac{4}{3}$ :

Substitute it into $csc^2\theta=cot^2\theta+1$ :

$csc^2\theta=(\frac{4}{3})^2+1$

Simplify the expression:

$csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}$

Solve for $csc\theta$ . Apply square root at both sides of the expression:

$\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}$

$csc\theta=\frac{5}{3}$

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Step-by-step explanation:

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