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2 years ago

9

Bader gave away 24 of his toy cars. Which integer shows the change in the number of toy cars he has?

1 answer:

Zielflug [23.3K]2 years ago

7 0

Answer:

The integer that shows the change in the number of toy cars Bader has is <u>-24.</u>

Explanation:

Think of it like a math problem, when you take away from your own amount, (in this case, his cars) you're subtracting from the original amount of things you had. The symbol for subtraction is also "-", so with that information it's a bit self explanatory to know which answer is correct.

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Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

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Answer:

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Step-by-step explanation:

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