The value of
is 
Step-by-step explanation:
To find the value of
, let us find the value of each angle.
The value of 
The value of 
The value of 
The value of 
Substituting the values of sin, we get,

Multiplying the values of sin, we get,

Thus, the value of
is 
A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.
Since 6 and 7 don't have common factors, the ratio 6:7 cannot be simplified further.
So the ratio for gray to blue keys is 6:7.
Answer:
1) 2(t - 7)(t + 1)
2) $32,000
Step-by-step explanation:
v(t) = 2t² - 12t - 14
v(t) = 2(t² - 6t - 7) = 2(t - 7)(t + 1)
x = -b/2a = 6/2 = 3
y = 2(3)² - 12(3) - 14 = -32
(3, -32) means at 3 months, -32 thousand dollars
Whenever you're asked to find the best prediction based on the graph, you always use the line of best fit (the black line) that is determined from your data points.
Since 202cm isn't on your graph, you will need to write an equation for your line of best fit and mathematically figure out the arm span. If you look at your graph, notice that for every x value, the y value is equal to it. That makes writing the equation easy. Since x=y, your equation is pretty much just y = x.
Your x value that you need to plug in is x=202cm. This is because height is on the x axis and the height you want to find the arm span for is 202cm. Plug x=202 into the equation:
y=x
y=202
The arm span <span>of a player that is 202 cm tall is B) 202cm wide.</span>