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3 years ago

Four gallons of paint cost $49.44. Which equation can be used to find c, the cost per gallon?

1 answer:

5 0

<span>Four gallons of paint cost $49.44. <span>Which equation can be used to find c, the cost per gallon?
c=$49.44/4
c= $12.36 per gallon</span></span>

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Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

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

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

We get:

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

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

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

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

6 0

3 years ago

I rlly suck at math so plz help lol

Jlenok [28]

Answer:

A. 81

Step-by-step explanation:

Combine fractions, that equals 2/5 in your exponent. Three to the 2/5 power is 81. So answer A.

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3 years ago

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Suppose to travel 162 miles in 3 hours .use the formula d=st to find the average speed

Umnica [9.8K]

Distance = Speed x time = 162 x 3 = 486 miles/hour

Answer: 486 miles/hour

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3 years ago

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The difference of 5 times y and 3

saul85 [17]

The way to find the difference between 5y - 3 you have to first do the inverse operation of multiplication which is division.

5y - 3
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y - 0.6

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3 years ago

Lauren saves 30% of her paycheck to purchase the iPhone 12. She earns $325 per paycheck. How much will Lauren have for her iPhon

marusya05 [52]

Answer:

She will have saved $195

Step-by-step explanation:

If we had her two paychecks together she will have saved $650.

30% of 650 = 195

We get this by taking 650 times .3

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3 years ago