Answer:
The answer is A
Step-by-step explanation:
10 divided by 5
10y^2 - 23y + 12 = 10y^2 - 15y - 8y + 12 = 5y(2y - 3) - 4(2y - 3) = (5y - 4)(2y - 3)
Answer:
Step-by-step explanation:
The volume of the solid revolution is expressed as;
Given y = 2x²
y² = (2x²)²
y² = 4x⁴
Substitute into the formula
![V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E2_0%20%7B4%5Cpi%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D4%5Cpi%20%5Cint%5Climits%5E2_0%20%7B%20x%5E4%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%20%5Cpi%20%5B%5Cfrac%7Bx%5E5%7D%7B5%7D%20%5D%5C%5C)
Substituting the limits
![V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3](https://tex.z-dn.net/?f=V%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B2%5E5%7D%7B5%7D%5D%20-%20%5B%5Cfrac%7B0%5E5%7D%7B5%7D%5D%29%5C%5CV%20%3D%204%20%5Cpi%20%28%5B%5Cfrac%7B32%7D%7B5%7D%5D%20-%200%29%5C%5CV%20%3D%20128%20%5Cpi%2F5%20units%5E3)
Hence the volume of the solid is
Answer:
The length and width of the prism are 20 metres and 5 metres respectively
Step-by-step explanation: given that the length of a rectangular prism is four times its width. That is
Length L = 4 width W
L = 4W
the volume of the prism is 380 cubic meters
V = L × W × H
380 = 4W × W × H
380 = 4W^2H
W^2H = 380/4
W^2 H = 95
The only way to get a perfect square number is to make H = 3.8
3.8W^2 = 95
W^2 = 95/3.8
W^2 = 25
W = 5
But L = 4W
L = 4 × 5 = 20
The length and width of the prism are therefore 20 metres and 5 metres respectively
