Answer: 39 degrees
Step-by-step explanation:
Since the triangle is a right angle
The sum of angles in a right angle is 90degrees
51degrees + A= 90 degrees
A= 90degrees - 51 degrees
A=39 degrees
Answer: the vertex is (12,−144)
Step-by-step explanation:
Answer:
f(2) = $180.22
f'(2) = $130.00/week
f'(2)/f(2) = 72.13%
Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
Step-by-step explanation:
The revenue from sales, in dollars, as a function of time, in weeks, is given by:

After two weeks (t=2), the revenue from sales is:

The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

The relative rate of change is:

Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
The tangent line to a circle makes an angle of 90 degrees with the radius.
If |FG| is tangent to circle E. then
30^2 = 26^2 + 17^2
which is not true.
Therefore, line segment FG is not tangent to circle E.
It will take her about 67 minutes .. ( rounded )