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Alja [10]
3 years ago
9

A total amount of $30 was placed in 4 envelopes, a different amount in each one. Money from the largest share was taken to doubl

e each of the other amounts. The resulting amounts were the same as before, but in different envelopes. What were the amounts of money?
Mathematics
1 answer:
Triss [41]3 years ago
5 0
It is about 7.5 divide 30 by 4
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Verifying Trig Functions
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Answer:

The answer to your question is below

Step-by-step explanation:

                csc α - cot α = \frac{sin \alpha }{1 + cos \alpha }

Work with the left part

                \frac{1}{sin\alpha } - \frac{cos \alpha }{sin \alpha}

Simplify

                \frac{1 - cos\alpha }{sin\alpha }

Multiply by the reciprocal

 \frac{1 - cos\alpha }{sin \alpha } x \frac{1 + cos\alpha }{1 + cos\alpha }                                  

Simplify

\frac{1 - cos^{2}\alpha}{sin\alpha (1 + cos\alpha)}

Remember that

                 sin²α = 1 -cos²α

Substitute the previous equation

\frac{sin^{2}\alpha }{sin\alpha(1 + cos\alpha ) }

Simplify

\frac{sin\alpha}{1 + cos \alpha}      

The identity i proved.            

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3 years ago
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Which number line represents the solution set for the inequality 3(8-4x)<6(x-5)?
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we have

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the answer in the attached figure

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defon

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round up to 504

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