The volume of the space between the sphere and cube is equal to the volume of the sphere subtracted from the volume of the cube:
The volume of a cube is:
s is the length of each edge in the cube
The volume of a sphere is:
The diameter of the sphere is equal to the edge of the cube, then, its radiusr is:
Then, the volume of the space between the sphere and cube is:
s is 34 in
Then, the approximate volume of the space between the sphere and cube is 18724,47 cubic inches
did he walk in one hour?
A 14,520 ft
B 21,120 ft
C 29,040 ft
D 58,080 ft
Help?
Answer:
A. 14,520 ft
Step-by-step explanation:
To start off this problem, we need to find how many miles James walks per hour. To do that, lets divide 11 by 4.
Next, since 5,280 feet are in a mile, we need to multiply 2.75 by 5,280:
James walked 14,520 ft. in one hour.
Check the picture below.
make sure your calculator is in Degree mode.
Which of the following could represent the measures of the three angles?
Ox, 2%, 4%
OX, 2x, 3x
OX, 2x, 2x
Answer:
x, 2x, 3x
Step-by-step explanation:
If we have angle x as one angle, and the 2nd angle is twice the angle, the 2nd angle will be 2x. If the 3rd angle is the sum of the 1st angle and the 2nd angle, we have 2x + x, which equals 3x.
ANSWE,LET two numbers be A and B then
A+B=52
A-B=14....linear equation in 2 variable
adding 2 eqns
2A=66... dividing both side by 2
A=33
and put A=33 in eqn A+B=52
B=52-33
B=19.
SO. LARGER NUMBER=33
Smaller number=19
1-5x-2y =-22
a) (-4,-6)
b) (6,4)
According to the system:
5 – 7x + 2y² = -10
1 – 5x – 2y = -22
______________
a) No ; (4, 6) is not a solution to the
system. This point does not touch either equation.
b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.
Solutions:
x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086
y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715