The ratio of the volume of the smaller cylinder to the volume
of the larger cylinder is 0.422
<h3>
What is the ratio of the volumes?</h3>
We know that for the smaller cylinder, one of the dimensions, let's say the height, is 18ft, and for the larger the height is 24ft.
The quotient is:
24ft/18ft = 4/3
Then the ratio between the radius of the cylinders must be the same, if R is the radius of the larger cylinder and r the radius of the smaller cylinder we get:
R/r = 4/3
Then the ratio between the volumes (the volume of the smaller over the volume of the larger) is equal to the cube of the scale factor:
V = (3/4)^3 = 9/16 = 0.422
If you want to learn more about volumes:
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Answer:
5
Step-by-step explanation:
subtract 192 from 379 and you get 187 so that is for adults then subtract 187 from 192 to get the answer which is 5
Answer:
x² + 4x - 12, remainder - 60
Step-by-step explanation:
Using synthetic division to divide
Since dividing by x - 1, evaluate for x = 1
1 | 1 3 - 16 - 48
↓ 1 4 - 12
---------------------------
1 4 - 12 - 60 ← degree 2 polynomial
quotient = x² + 4x - 12, remainder = - 60
Hence
= x² + 4x - 12 -
Answer:
A, C, D
Step-by-step explanation:
One way to answer this question is to use synthetic division to find the remainder from division of the polynomial by (x-3). If the polynomial is written in Horner form, evaluating the polynomial for x=3 is substantially similar.
A(x) = ((x -2)x -4)x +3
A(3) = ((3 -2)3 -4)3 +3 = -3 +3 = 0 . . . . . has a factor of (x -3)
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B(x) = ((x +3)x -2)x -6
B(3) = ((3 +3)3 -2)3 -6 = (16)3 -6 = 42 . . . (x -3) is not a factor
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C(x) = (x -2)x^3 -27
C(3) = (3 -2)3^3 -27 = 0 . . . . . . . . . . . . . has a factor of (x -3)
__
D(x) = (x^3 -20)x -21
D(3) = (3^3 -20)3 -21 = (7)3 -21 = 0 . . . . has a factor of (x -3)
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The polynomials of choice are A(x), C(x), and D(x).