Answer:
4x² + 18
Step-by-step explanation:
note that (c ○ d )(x) = c(d(x))
To evaluate substitute x = d(x) into c(x), that is
c(d(x))
= c(x² + 5)
= 4(x² + 5) - 2
= 4x² + 20 - 2
= 4x² + 18
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is

where the height of the pyramid is 5


On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:




Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
r = ?
pi = 3.14
h = 17 cm
3*V = pi * r^2 h = r^2 Divide by pi
3*V/pi = r^2 h = r^2 Divide by h
3*V/(pi*h) =r^2 Take the square root of the left to get just r
sqrt(3*V/(pi*h)) = r Now solve the equation.
sqrt(3*538.25 /(3.14*17)) = r
sqrt(1614 / 53.38) =
r = sqrt(30.24)
r = 5.493