Answer:
V= πr²h
V= 72π
V= 226.2
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
Given data
Radius r of cylinder 3
Height h of cylinder 8
We know that the volume of a cylinder is given as
V= πr²h
Substituting our given data we have
V= π3²*8
V= π9*8
V= 72π
V= 226.2
Answer:
x = 101/20, y = 1/4
Step-by-step explanation:
Solve the following system:
{-y + 5 x = 25 | (equation 1)
3 y + 5 x - 1 = 25 | (equation 2)
Express the system in standard form:
{5 x - y = 25 | (equation 1)
5 x + 3 y = 26 | (equation 2)
Subtract equation 1 from equation 2:
{5 x - y = 25 | (equation 1)
0 x+4 y = 1 | (equation 2)
Divide equation 2 by 4:
{5 x - y = 25 | (equation 1)
0 x+y = 1/4 | (equation 2)
Add equation 2 to equation 1:
{5 x+0 y = 101/4 | (equation 1)
0 x+y = 1/4 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 101/20 | (equation 1)
0 x+y = 1/4 | (equation 2)
Collect results:
Answer: {x = 101/20, y = 1/4
4/31. There's no more simplified version than that.
Answer: A
Step-by-step explanation:
First find the equation of the line
As you can see it has a y-intercept of -1 and a slope of 2/3 so the equation will be y= 2/3x -1
And the perpendicular form of this is y= -3/2x +2