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Olenka [21]
2 years ago
8

Alyssa has 25$. She spends 4/5 of her allowance on a new shirt . How much did she spend on the shirt

Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

20$

Step-by-step explanation:

Alyssa has 25$.

Allowance of her new shirt = 4/5 of her allowance on a new shirt .

The amount she spent on her new shirt is calculated as:

25$ × 4/5

= 20$

Therefore, Alyssa spent $20 on her new shirt

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Step-by-step explanation:

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Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

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We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

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Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

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