The formula of a volume of a rectangular prism: V = lwh
l - length
w - width
h - height
We have the volume:
![V=6x^3-x^2-2x=x(6x^2-x-2)=x(6x^2+3x-4x-2)\\\\=x[3x(2x+1)-2(2x+1)]=x(2x+1)(3x-2)\\\\Answer:\ \boxed{A.\ Height:3x-2,\ Length:2x+1,\ Width:x}](https://tex.z-dn.net/?f=V%3D6x%5E3-x%5E2-2x%3Dx%286x%5E2-x-2%29%3Dx%286x%5E2%2B3x-4x-2%29%5C%5C%5C%5C%3Dx%5B3x%282x%2B1%29-2%282x%2B1%29%5D%3Dx%282x%2B1%29%283x-2%29%5C%5C%5C%5CAnswer%3A%5C%20%5Cboxed%7BA.%5C%20Height%3A3x-2%2C%5C%20Length%3A2x%2B1%2C%5C%20Width%3Ax%7D)
Answer :Anita's age = 7 years
Basilio's age = 2.5 years
Step 1. Assign variables to Anita's and Basilio's ages.
Anita's age = A
Basilio's age = B
Step 2. Use the information given to form two equations.
Anita is 4-1/2 years older than Basilio
A = 4.5 + B
Three times Anita's age added to six times Basilio's age is 36
3A + 6B = 36
Step 3. Substitute the value of A from first equation in to the second equation and solve for B
3(4.5 + B) + 6B = 36
13.5 + 3B + 6B = 36
13.5 + 9B = 36
9B = 36 - 13.5
9B = 22.5
B = 22.5/9 = 2.5
Step 4. Find the value of A
A = 4.5 + 2.5 = 7
Answer:
Anita's age = 7 years
Basilio's age = 2.5 years
Add it all up, the answer would be B. 2.37
Answer:
V=πr2h
3=π·72·9
3≈461.81412
Step-by-step explanation:
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