Answer:
we can determine the volume of a right cylinder
by this formula : V = πr²h
Step-by-step explanation:
V = πr²h
Answer:
The answer is
One: 28, 29, 30
Two: 75,77
Step-by-step explanation:
One
Let the three numbers be (x - 1) , x , and x + 1
(x - 1) + x + (x +1 ) - 12 = 75 Remove the brackets
x - 1 + x + x + 1 - 12 = 75 Combine the like terms on the left
3x - 12 = 75 Add 12 to both sides
3x = 75 + 12
3x = 87 Divide by 3
x = 87/3
x = 29
Two
Let the first odd number = 2x -1
Let the second odd number = 2x + 1
2x - 1 + 2x + 1 + 18 = 170 Combine like terms on the left.
4x + 18 = 170 Subtract 18 from both sides.
4x = 170 - 18 Combine like terms on the right
4x = 152 Divide by 4
4x/4 = 152/4
x = 38
2 * 38 - 1 = 75
2 * 38 + 1 = 77
7/2 is the reciprocal of 2/7
The answer to the system of equations is x = 3, y = -2 and z = 5.
In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.
-x + 2y + 2z = 3
6x + 2y - 2z = 4
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5x + 4y = 7
Then we can add equation 2 with equation 3.
3x + y - z = 2
2x + y + z = 9
------------------
5x + 2y = 11
Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.
5x + 4y = 7
-5x - 2y = -11
------------------
2y = -4
And then we can solve for y.
2y = -4
y = -2
With that answer we can go back to any equation with just y and x and solve for x.
5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3
Now we can use x and y in any equation to find z.
2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
Answer:
49,088
Step-by-step explanation:
First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.
Second, you need to subtract 2,912 from 52,000 which is 49,088
