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Papessa [141]
3 years ago
6

A student reader is making $8.10 per hour and gets a $0.66 raise. What is the percent increase? (Round to the nearest tenth of a

percent.)
Mathematics
1 answer:
kicyunya [14]3 years ago
4 0
The answer is 8.2 percent
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I will give 5 points
ikadub [295]

Use the sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0
1 year ago
Find the next number in the number pattern 192,96,48,24
natima [27]
I got 12 because each time you are dividing the number in half. Half of 24 is 12.
3 0
3 years ago
Algebra 2 math. Can someone help me please?
bogdanovich [222]

Answer:

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5 0
2 years ago
Alex paints a total of 9 dollhouses using 2 cans of paint. How many dollhouses can Alex paint with each can of paint?
hichkok12 [17]
4 and a half houses per can of paint
3 0
3 years ago
The sum of three consecutive odd numbers is one hundred fifty-nine
xeze [42]
First remember that sum means to add. now think about the equation. we need to find 3 numbers that equal 159 when added together. And they are all consecutive odd numbers. so let's call the first number X. the second number would be X+2 since we have to jump over 1 even number. The third number would be X+4 since we have to jump over 2 even numbers. so now an equation to represent this would be X+(X+2)+(X+4)=159. Add like terms, and remember order of operations. if you need help getting the answers leave me a comment.
8 0
2 years ago
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