24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88
Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
Answer:
A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelograms are also trapezoids.
Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Answer:
n= -4
Step-by-step explanation:
First we have to find the equation of line which passes through (6,3) and (8,4).
Then we have to pass this line through the point (n , -2).
we know, equation of line passing through (x1,y1) and (x2,y2) is
![\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-x1%7D%7Bx1-x2%7D%3D%5Cfrac%7By-y1%7D%7By1-y2%7D)
So, the equation of line passing through (6,3) and (8,4) is
![\frac{x-6}{6-8}=\frac{y-3}{3-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-6%7D%7B6-8%7D%3D%5Cfrac%7By-3%7D%7B3-4%7D)
or, ![\frac{x-6}{-2} =\frac{y-3}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-6%7D%7B-2%7D%20%3D%5Cfrac%7By-3%7D%7B-1%7D)
multiplying both sides by -2
x-6=2(y-3)
or, x-6=2y-6
or, x-2y=6-6
or, x-2y=0
Now, we have to pass this line through (n,-2)
So, using the point in the line, that is using x=n , y=-2
we get
n-2(-2)=0
or, n+4=0
or, n=-4
To mix cleaner and water you need to divide the bucket's capacity into 4.It's easy in this case as gallon is divided into quarts (1 gallon = 4 quarts).We know that one part will be cleaner, it means that you will need to use 1 quart of the cleaner.
hope thats right