Step by step:
6 - 2(x + 6) = 3x + 4
6 - 2x -12 = 3x + 4
6 - 12 = 5x + 4
-6 = 5x + 4
-10 = 5x
-2 = x
So, x = -2
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
Answer: 38
Step-by-step explanation:
Penny built a wooden ramp that rose 9 inches over a horizontal distance of 29 inches, as shown below.
Ramp
Length
9 inches
29 inches
Answer:6.27
Step-by-step explanation: 22.8 increased by 27.5%
27.5% × 22.8 = 6.27
27.5 ÷ 100 × 22.8 = 6.27
27.5 × 22.8 ÷ 100 = 6.27
627 ÷ 100 = 6.27
Answer:
Step-by-step explanation:
Hope this helps!
brainliest?
(::)
