Answer:
2.99924 in
Step-by-step explanation:
Volume of a cone
V = pi x r^2 x h/3
So to solve this problem you plug in the number we already have which is the volume and the height
103.62 = pi x r^2 x 11/3
28.26 = pi x r^2
28.26/pi = r^2
= r ≈ 2.99924
-- Cut the sheet in half.
-- Put one half-sheet on top of the other half-sheet.
Cut the stack of 2 halves in half.
-- Put one stack of two quarter-sheets on top of the other stack of quarter-sheets.
Cut the stack of 4 quarters in half.
Now you have eight one-eighth sheets.
Three cuts.
Taking Sam (3 x 5) = 15 minutes, plus a few seconds for set-up between cuts.
Answer:7 3/7 < 7 2/5
Step-by-step explanation:
Answer:
(x, y) = (6, 2)
Step-by-step explanation:
You solve for x and y by writing equations that reflect the relation applicable to the given geometry.
The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.
2x -4 = 4y . . . . . . down diagonal
x +4 = 7y -4 . . . . . up diagonal
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We can subtract the first equation from 2 times the second equation to eliminate the x-variable.
2(x +4) -(2x -4) = 2(7y -4) -(4y)
2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses
12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms
20 = 10y . . . . . . . . . . . . . . . . . . add 8
2 = y . . . . . . . . . . . . . . . . . . . . divide by 10
Substituting into the second equation gives ...
x +4 = 7(2) -4
x = 6 . . . . . . . . . . . . subtract 4
The values of x and y are (x, y) = (6, 2).
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The lengths of the diagonals are 20 and 16.
He needs 13 cans of paint.
The lateral area is given by the area of 5 rectangles, whose dimensions are 15 by 5:
5(15)(5) = 375
Divide this by 30:
375/30 = 12.5 ≈ 13