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ASHA 777 [7]
4 years ago
10

I rlly need this its due in an hour. Whoever gives a good answer I will mark as brainliest and I will give thanks and 5 star rat

ing!! Dawn wants to buy a circular rug for her bedroom. The measurement of her bedroom is 10 ft by 12 ft. If the radius of the rug is 2.5 feet, will the rug fit in her room? Yes or no?
Mathematics
1 answer:
Alina [70]4 years ago
3 0

Answer:

Yes

Step-by-step explanation:

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Answer:

<em>Answer: choice D.</em>

Step-by-step explanation:

<u>Trigonometric Functions</u>

We need to recall some properties and definitions of the trigonometric functions.

\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}

\displaystyle \sec \theta=\frac{1}{\cos\theta}

We need to simplify the following expression:

5\sin\theta\sec\theta

Substituting the identity for the secant:

\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}

Operating:

\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}

Substituting the definition of the tangent:

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