Answer:
................................................................................................................................................................................................
Step-by-step explanation:
A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
9514 1404 393
Answer:
(-2, 2)
Step-by-step explanation:
The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.
Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...
x = -2
__
Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...
y -(-1) +(1)(x -(-5))
y = x +4 . . . . . . . . subtract 1 and simplify
The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...
y = (-2) +4 = 2
The orthocenter is (x, y) = (-2, 2).
The problem given can be solve using one variable. so let x be the total vote
x = x(5/8) + 5/9(x - x(5/8)) + 48
so solve for x
x - x(5/8) - 5/9(x - x(5/8)) = 48
x - x(5/8) - x(5/9) + x(25/72) = 48
x(1/6) = 48
x = 48*6
x = 288
blue votes = 288(5/8) = 180
red votes = 5/9(288 - 180) = 60
students riverside = 288 + 25 = 313
Answer:
area = 81π in² (or ≈ 254.47 in²)
Step-by-step explanation:
The formula for an area of a circle is area = πr².
You are given the diameter, which is 18 in.
diameter = radius (2)
So to get radius, divide the diameter in half:
18/2 = 9.
Now that we have the radius, put that back into the formula for the area of a circle:
area= π9²
Then, solve for the 9², which will be 81 and put it back into the formula.
area = 81π in²
If you need to get rid of the π, the answer will be about 254.47 in²
The answer is equal to C. 
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