The ratio of their bases = 3√3 : 8
Step-by-step explanation:
Given,
The ratio of the volume of two cylinders is 27:64.
To find the ratio of the diameters of the cylinders of their base.
Formula
Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h
Let,
Radius of cylinder 1 is R and the radius of the cylinder 2 is r.
The height of the both cylinder is h.
According to the problem,
πR²h= 27a and πr²h= 64a
So,
πR²h : πr²h = 27a:64a
or, R²:r² = 27:64
or, R:r = 3√3 : 8
Hence,
The ratio of their bases = 3√3 : 8
14 | 7 | 21
6 | 3 | 9
20 |10| 30
i hope you understand how im trying to put i
D=rt
r=(boatrate+riverrate)=(x+2)mph
d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so
1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)
use the midpoint formula. It's x1 + x2 / 2, y1+y2/2. When you solve you get (0, 1/2) is the midpoint. Hope this helps
9514 1404 393
Answer:
Step-by-step explanation:
The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.
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∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.