For this case we have that by definition, the volume of a rectangular prism is given by:
![V = A_ {b} * h](https://tex.z-dn.net/?f=V%20%3D%20A_%20%7Bb%7D%20%2A%20h)
Where:
It is the area of the base
h: It's the height
According to the data we have:
![length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}](https://tex.z-dn.net/?f=length%20%3D%205%20%5Cfrac%20%7B1%7D%20%7B8%7D%20%3D%20%5Cfrac%20%7B8%20%2A%205%20%2B%201%7D%20%7B8%7D%20%3D%20%5Cfrac%20%7B41%7D%20%7B8%7D)
![width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}](https://tex.z-dn.net/?f=width%20%3D%207%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B2%20%2A%207%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B15%7D%20%7B2%7D)
Then:
![A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}](https://tex.z-dn.net/?f=A_%20%7Bb%7D%20%3D%20%5Cfrac%20%7B41%7D%20%7B8%7D%20%2A%20%5Cfrac%20%7B15%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B615%7D%20%7B16%7D)
Thus, the volume is:
![V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%20%7B615%7D%20%7B16%7D%20%2A%202%20%3D%20%5Cfrac%20%7B1230%7D%20%7B16%7D%20%3D%2076.875)
Answer:
![76.875 \ ft ^ 3](https://tex.z-dn.net/?f=76.875%20%5C%20ft%20%5E%203)
Answer:
Step-by-step explanation:
Let's simplify step-by-step.
2x−y
There are no like terms.
Answer:
=2x−y
Answer: 3 pounds
Step-by-step explanation:
brainliest me
Answer:
Option C is correct.
Step-by-step explanation:
We are given the expression:
![(\frac{3^2a^{-2}}{3a^{-1}})^k](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%5E2a%5E%7B-2%7D%7D%7B3a%5E%7B-1%7D%7D%29%5Ek)
The value of a =5 and k = -2
Putting the values and solving
![=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B3%5E2%2A5%5E%7B-2%7D%7D%7B3%2A5%5E%7B-1%7D%7D%29%5E-2%5C%5C%3D%28%5Cfrac%7B3%5E%7B2-1%7D%7D%7B5%5E%7B-1%2B2%7D%7D%29%5E-2%5C%5C%3D%28%5Cfrac%7B3%5E%7B1%7D%7D%7B5%5E%7B1%7D%7D%29%5E-2%5C%5C%5C%5C%3D%28%5Cfrac%7B3%7D%7B5%7D%29%5E-2%5C%5Cif%20%5C%2C%5C%2Ca%5E%7B-1%7D%20%5C%2C%5C%2Cthen%5C%2C%5C%2C%201%2Fa%5C%5C%3D%5Cfrac%7B%283%29%5E%7B-2%7D%7D%7B%285%29%5E%7B-2%7D%7D%5C%5C%20Can%5C%2C%5C%2Cbe%5C%2C%5C%2Cwritten%5C%2C%5C%2Cas%5C%5C%5C%5C%3D%5Cfrac%7B%285%29%5E%7B2%7D%7D%7B%283%29%5E%7B2%7D%7D%20%5C%5C%3D%5Cfrac%7B25%7D%7B9%7D)
Option C is correct.