V=πr^2h=π·5^2·9≈706.85835
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The coordinates of points A, B, and C are (5, 4), (–2, 1), and (4, –4), respectively. Which point, B or C, is closer to point A?
Elena-2011 [213]
Answer:
The distance between two points (x1,y1) and (x2,y2) = √((x1-x2)2+(y1-y2)2) Distance between A and B = √((5--2)2+(4-1)2) = √(72+32) = √(49+9) = √58 = 7.62 Distance between A and C = √(12+82) = √65 = 8.06 Point B is closer to A. Another method to solve this problem is to draw the points on a graph paper and measure distance with a ruler.
Answer:
The radius of the cylinder is 3 inches.
Step-by-step explanation:
For any given cylinder, the volume can be expressed as:
volume = 
h
where r is the radius of its circular surface, and h is its height.
Given that: volume = 54π cubic inches, and the height = 6 inches.
then,
54
=
x
x 6
54
= 6

= 
= 9
r = 
r = 3
The radius of the cylinder is 3 inches.
Answer:
1 : 10.5
Step-by-step explanation:
4 : 42
1 : n
Cross multiply the ratios.
42 × 1 = 4 × n
42 = 4n
42/4 = n
n = 10.5