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
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45 = 15 x 3
60 = 15 x 4
side length in common is 15
Answer:
x = 100°
Step-by-step explanation:
Actually the drawing is very inaccurate, so it is a regular pentagon, otherwise x would be 60° and none of the answers would fit.
The formula for finding the sum of all angles in a polygon is:
(n-2) * 180°
n is the number of sides
Here n = 5, so the sum of all angles is (5-2) * 180° = 540°
x + 2x + 86 + 92 + 62 = 540
3x = 300
x = 100
Answer:
I got -y^2 - 9y -4 (I hope it helps)
Step-by-step explanation:
4y^2 - 5y^2= -y^2
7-11= -4
-6y + -3y= -9y
-y^2 -9y -4
It is clear that T lies on the perpendicular bisector of NP. See the explanation below.
<h3>What is the explanation for the assertion above?</h3>
Given that M (X,Y) is the midpoint of NP
X thus = (5+1)/2
= 3
Y = (7+1)/2
= 4
Hence, we have M (3,4)
Consequent on the above:
Slope TM (m') = (4-2) / (3-6) = - 2/3
Slope of NP (m) = (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m
Hence
TM ⊥ NP; and NP ⊥ TM
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