Step-by-step explanation:
The volume for cylinder is V= πr2h
It gives is the volume of the cylinder is 720 π
We can cancle the pi from the Volume and the formula.
After that let h = 20.
Answer: y = -9x - 9
First, you need to put the two equations into slope intercept form (y=mx+b.)
1) y= -9x + 9
2) y= -10x - 9
First take the slope of #1
m = -9x
Then take the y-intercept of #2
b = -9
Now, put it into an equation.
y = -9x - 9
Answer:
Range=9, Mean=4.125
Step-by-step explanation:
Mean is the average. To find the average, just add all the numbers and divide the total amount of numbers present in the set.
The range is the highest number minus the smallest numbers. In this set the range is 9.
9-0=9
<u>Answer:</u>
No
<u>Step-by-step explanation:</u>
We are given the following equation of a function and a table for the corresponding values of this function:
We are to determine if the equation and the table represent the same function.
To check that, we will substitute the value of x in the equation to see if it gives the same values of y as in the table.
---> (-30, 60)
---> (-28, 82)
---> )-26, 104)
Since these paired values differ from the ones given in the table. Therefore, table and equation do not represent the same function.
Answer:
Step-by-step explanation:
Given
Area of a floor = 2040ft²
If Its length is 36ft. longer than its width, then L = W+36
Area = LW
L is the length
W is the width
A < W(W+36)
2040 < W²+36W
0<W²+36W-2040
W²+36W-2040 >0
W = -36±√36²-4(-2040)/2
W = -36±√1296+8160)/2
W = -36±√9456/2
W = -36±97.25/2
W = -36+97.25/2
W = 61.24/2
W > 30.62ft
Since L = W+36
L > 30.62+36
L > 66.62ft
The width of the floor is 30.62ft
The length is 66.62ft
The mathematical sentence would represent the given situation is the width is greater than 30.62ft while the length must be greater than 66.62ft
The possible dimension of the floor is 31ft by 67 ft
The possible areas is 31*67 = 2077ft²
It won't be realistic to get an area of 144sqft because the initial area is greater than 144. Hence the feasible area will be greater than 2040ft²
