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ANEK [815]
2 years ago
10

A company sells a dried fruit mixture for $5 per pound. To make the mixture, banana chips that cost

Mathematics
1 answer:
ELEN [110]2 years ago
6 0

Answer:

  2.5 pounds

Step-by-step explanation:

Let s represent the number of pounds of dried strawberries that should be added to the bananas. The total cost of the mixture will be ...

  (2.50)(3) +(8.00)(s) = (5.00)(3 +s)

  7.50 +8s = 15 +5s . . . . . . . eliminate parentheses

  3s = 7.50 . . . . . . . . . subtract 7.50+5s

  s = 2.50 . . . . . . divide by 3

2.5 pounds of dried strawberries should be added to make the mixture.

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Given cos theta = - 2/5 and sin theta &lt; 0, find the six trigonometric values. I need help with this
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Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

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\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

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