Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
(8,1) since the midpoint is 3 away from the endpoint, it must also be 3 away from the other endpoint
You just add the values for volunteers that worked 16-20 hours and 21-25 hours which would be 50 + 10 = 60. So the total number of volunteers that workers more than 15 hours is 60.
Answer:
g=3
Step-by-step explanation:
f(g) = g^2 +3g
Let f(g) = 18
18 = g^2 +3g
Subtract 18 from each side
18-18 =g^2 +3g-18
0 = g^2 +3g-18
Factor
0 = (g+6) (g-3)
Using the zero product property
g+6 =0 g-3 =0
g = -6 g =3
The only solution listed is g=3
