Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


0.10 *1000 = 100
0.2 * 500 = 100
10x16 = 160 cm
160x 3.14 = 502.4 cm
502.4 ≈ 500 cm
Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have

Let

Complete the square




------> equation of a vertical parabola in vertex form
The vertex is the point 
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38
There are 30 days in April, so if you randomly pick a date in April there are 30 equally likely outcomes