Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
50*40*80=160000 to find the total square feet
then you divide 160000/500 to figure out the total amount of gallons of paint you need
you need 320 gallons of paint
Multiply 75*5 to get 375
then add 120 from the lot to get 495
Answer:
The value of θ is 20.105°
Step-by-step explanation:
Consider the provided information.
A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal.
Sine of angle is force over weight.
Substitute F = 5500 pounds and W = 16,000 pounds in above formula.
Hence, the value of θ is 20.105°
