Answer: ![\sin C = \frac{3}{5}](https://tex.z-dn.net/?f=%5Csin%20C%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
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Work Shown:
![\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(C) = \frac{\text{AB}}{\text{AC}}\\\\\sin(C) = \frac{24}{40}\\\\\sin(C) = \frac{8*3}{8*5}\\\\\sin(C) = \frac{3}{5}\\\\](https://tex.z-dn.net/?f=%5Csin%28%5Ctext%7Bangle%7D%29%20%3D%20%5Cfrac%7B%5Ctext%7Bopposite%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B%5Ctext%7BAB%7D%7D%7B%5Ctext%7BAC%7D%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B24%7D%7B40%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B8%2A3%7D%7B8%2A5%7D%5C%5C%5C%5C%5Csin%28C%29%20%3D%20%5Cfrac%7B3%7D%7B5%7D%5C%5C%5C%5C)
Line up the decimal points and multiply right to left ...any missing numbers equal 0
Answer:
I believe just the one, (−1,2)
Step-by-step explanation:
Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)