Let the unknown consecutive integers be x, x+1
x+x+1=-95
2x+1=-95
2x=-95-1
2x=-96
x=-96/2
x=-48
x=-48
x=-48x+1=-48+1=-47
-48 and -47 are the two consecutive integers
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Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
Answer:
Jamal has 111 tickets.
Step-by-step explanation:
Start by knowing that he has 6 tickets he got previously, and then he gets 15 more tickets each time he played the game, which was 7 times.
7 x 15 + 6 = 111
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2
A. Ferocity. Because when a bear comes out of hibernation it's hungry after going without food or water for so long.