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Elena-2011 [213]
3 years ago
12

If charlie's peanut butter fudge costs $1.50 per pound. how many pounds can you buy for $20.00?

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0
He can buy 13.3 pounds

sergij07 [2.7K]3 years ago
3 0
13.3 repeating punds
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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
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Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

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That means, angle t is in the 3rd quadrant.

To find:

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Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

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Let us have a look at the following identity:

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So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

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