Given:
Volume of a cube = 27,000 in^3
(Note: A cube has equal sides)
The volume of a cube = a^3
So,
![\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027000%3Da%5E3%20%5C%5C%20%5Csqrt%5B3%5D%7B27000%7D%5Ctext%7B%20%3D%20a%7D%20%5C%5C%20a%5Ctext%7B%20%3D%2030%20in.%7D%20%5Cend%7Bgathered%7D)
Therefore, the lenght of one side is 30 inches.
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

Answer:
LQ = 5
Median = 6
Step-by-step explanation:
gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.
Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.
Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.
Answer = 7x(4x-1) . Hope it helps.
Answer:
Grand Prize: 1:50,000
Any Prize: 1:10
Step-by-step explanation: