Answer:
π x³ /12 is the volume of the cone if A cone has a height of x and a diameter of x
Step-by-step explanation:
The base diameter and the height of a cone are both equal to x units
Diameter of cone = x units
Radius = Diameter /2
=> Radius of cone = x/2 units
Height of cone =x units
Volume of cone = (1/3) π r²h
r = radius h = height
=> Volume of cone = (1/3)π (x/2)² * x
= (1/3) π (x²/4) * x
= (1/12) π x³
= π x³ /12 cubic units
Answer: C
Step-by-step explanation:
Answer: x = 4; x = 5
Step-by-step explanation:
The directions specify to solve by factoring
x^2 - 9x + 20 = 0
To factor, find two numbers that add to -9 and multiply to 20
-5 and -4 work
-5 + (-4) = -9
-5 * -4 = 20
(x - 4)(x - 5) = 0
x = 4, x =5
Step-by-step explanation:
2008because there is no difference between the number of sold notebooks
Find the slope of the first line, that is the difference of the y’s over the difference of the x’s. This way: 2-5/2-5=-3/-3 which equals 1
Now find the slope of the second line 2-(-6)/-5-3
=8/-8
=-1
The slopes are opposite reciprocal ( you could also say that the product of the 2 slopes equals -1) therefore the lines are perpendicular.
