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Naily [24]
2 years ago
7

5. Find cos theta if sin theta= -12/13 and tan theta > 0. (6 points)

Mathematics
1 answer:
ziro4ka [17]2 years ago
8 0

\text{Given that,}\\\\\sin \theta = -\dfrac{12}{13}\\\\\implies \sin^2 \theta = \dfrac{144}{169}\\\\\implies 1- \cos^2 \theta = \dfrac{144}{169}\\\\\implies \cos^2 \theta = 1- \dfrac{144}{169}\\\\\implies \cos^2 \theta = \dfrac{25}{169}\\\\\implies \cos \theta = \pm \sqrt{\dfrac{25}{169}} = \pm \dfrac 5{13}\\\\\\\text{Since,}~ \tan \theta >0,\\\\\cos \theta =- \dfrac{5}{13}

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Brilliant_brown [7]

Answer:

It is 8ft.

Step-by-step explanation:

To solve this, you just need to set up a ratio.

\frac{3in}{4ft} = \frac{6in}{x}

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You can now cross multiply.

6 * 4 =24

24/3 = 8

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That concludes that the actual ping pong table is 8ft!

Good Luck!!

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3 years ago
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mylen [45]

Answer:

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Step-by-step explanation:

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Hope this Helps!!!

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