Answer:
(2, 7) is the correct ordered pair.
Step-by-step explanation:
5x + 3y = 31
2x + 3y = 25 Subtract to eliminate the y variable:
3x = 6
x = 6/3
x = 2.
Substitute x = 2 in the first equation:
5*2 + 3y = 31
3y = 31-10 = 21
y = 21/3
y = 7.
Check the result by substituting for x and y in the second equation:
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25.
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Answer:
;-;
There is no 30$ tokens
Step-by-step explanation:
i guess its A or b
like the heck
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying 
with π, the square of the radius (
) and the height (
).
So the volume of the cone, 
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder () and the height of the cylinder ().
So the the cone's volume, 
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume = 
= 
.
So if we multiply the cone's volume with we will get the cylinder's volume with the same dimensions.
C would be the answer I think
