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3 years ago

8

The amount of money earned varieties directly with the numbers of hours spent babysitting .If Kayla baby sits for 3 hours she wi

ll earn $27 how many hours will she earn if she babysits for 4 hours

1 answer:

algol133 years ago

4 0

Answer:

$36

Step-by-step explanation:

Step 1. Create a ratio of hours to dollars

3 hours : 27 dollars can be simplify to 1 hour : 9 dollars

Step 2. Find the answer

Given the unit rate of 9 dollars per hour, find how much money Kayla can make in 4 hours.

4 x 9 is 36

The answer is 36 dollars

Hope this helps :)

Have a nice day!

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Answer:

The value of the given expression is

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Step by step Explanation:

Given that $tanA=a$

To find the value of $\frac{sin4A-2sin2A}{sin4A+2sin2A}$

Let us find the value of the expression :

$\frac{sin4A-2sin2A}{sin4A+2sin2A}=\frac{2cos2Asin2A-2sin2A}{2cos2Asin2A+2sin2A}$ ( by using the formula $sin2A=2cosAsinA$ here A=2A)

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$=\frac{(-(1-cos2A))}{(1+cos2A)}$ (using $sin^2A+cos^2A=1$ here A=2A)

$=\frac{-(sin^2A+cos^2A-(cos^2A-sin^2A))}{sin^2A+cos^2A+(cos^2A-sin^2A)}$ (using $cos2A=cos^2A-sin^2A$ here A=2A)

$=\frac{-(sin^2A+cos^2A-cos^2A+sin^2A)}{sin^2A+cos^2A+(cos^2A-sin^2A)}$

$=\frac{-(sin^2A+sin^2A)}{cos^2A+cos^2A}$

$=\frac{-2sin^2A}{2cos^2A}$

$=-\frac{sin^2A}{cos^2A}$

$=-tan^2A$ ( using $tanA=\frac{sinA}{cosA}$ here A=2A )

$=-a^2$ (since tanA=a given )

Therefore $\frac{sin4A-2sin2A}{sin4A+2sin2A}=-a^2$

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Answer:

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Step-by-step explanation:

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