Answer:
the pile has a height H = 15.09 ft
Step-by-step explanation:
The volume of a cone V is
V= 1/3*π*H*R²
where H= height , R=radius
if the diameter D=2*R is 3 times its height
D=3*H → 2*R=3*H → R=3/2*H
then
V= 1/3*π*H*R² = 1/3*π*H*(3/2*H)² = 1/3*π*H*9/4*H² = 1/12*π*H³
V= 1/12*π*H³
if the volume is V=900 ft³ , then solving for H
V= 1/12*π*H³
H = ∛(12*V/π) = ∛(12*900 ft³/π) = 15.09 ft
H = 15.09 ft
then the pile has a height H = 15.09 ft
D and c are parallel
D and a are perpendicular
D and b are perpendicular
C and a are perpendicular
C and b are perpendicular
11. rectangle A and the original rectangle are similar because they are the same shape (rectangle A is scaled smaller)
12. the same answer as 11.
13. Rectangle C and rectangle B are not similar because they do not scale together and they are not the same shape.
Answer:
x=0.18 repeating
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x
114/6 = 19 parts per minute
19 * 15 = 285 parts
hope this helps.