Answer: The height of the cylinder is 24 units.
Step-by-step-explanation: The volume of a cylinder is calculated as
Volume = Pi x r^2 x h
Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;
1176 Pi = Pi x 7^2 x h
1176 Pi = Pi x 49 x h
By cross multiplication we now have
(1176 Pi)/49 Pi = h
1176/49 = h
24 = h
Therefore the height of the cylinder is 24 units.
Use photomath it’s an app on the app store
Answer:
A. No solution
Step-by-step explanation:
The given equation is 4(2 x + 9) = 4(2 x +6)
We divide through by 4 to get:
2 x + 9 = 2 x +6
We now group similar terms to obtain:
This final statement is false.
Therefore the given equation has no solution.
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:
A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above
