Given:
The volume of the rectangular prism is
![V=4x^3+5x^2-32x-33](https://tex.z-dn.net/?f=V%3D4x%5E3%2B5x%5E2-32x-33)
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
![V=length\times breadth\times height](https://tex.z-dn.net/?f=V%3Dlength%5Ctimes%20breadth%5Ctimes%20height)
It means, volume of a rectangular prism is the product of all dimensions.
We have,
![V=4x^3+5x^2-32x-33](https://tex.z-dn.net/?f=V%3D4x%5E3%2B5x%5E2-32x-33)
Splitting the middle terms, we get
![V=4x^3+4x^2+x^2+x-33x-33](https://tex.z-dn.net/?f=V%3D4x%5E3%2B4x%5E2%2Bx%5E2%2Bx-33x-33)
![V=4x^2(x+1)+x(x+1)-33(x+1)](https://tex.z-dn.net/?f=V%3D4x%5E2%28x%2B1%29%2Bx%28x%2B1%29-33%28x%2B1%29)
![V=(x+1)(4x^2+x-33)](https://tex.z-dn.net/?f=V%3D%28x%2B1%29%284x%5E2%2Bx-33%29)
Splitting the middle term, we get
![V=(x+1)(4x^2+12x-11x-33)](https://tex.z-dn.net/?f=V%3D%28x%2B1%29%284x%5E2%2B12x-11x-33%29)
![V=(x+1)(4x(x+3)-11(x+3))](https://tex.z-dn.net/?f=V%3D%28x%2B1%29%284x%28x%2B3%29-11%28x%2B3%29%29)
![V=(x+1)(x+3)(4x-11)](https://tex.z-dn.net/?f=V%3D%28x%2B1%29%28x%2B3%29%284x-11%29)
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Change into an improper fraction. 2247/10 then divide. So, 224.7. Or since you know 7/10 is 0.7 just add 224
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
Distance between the 2 birds is 2.5 - (-2.5), or 5.0 (units).
Answer:
3.6 hours
Step-by-step explanation:
To determine the time needed if they are working together, we use the formula
1/Ta + 1/Tb = 1 Tc
where Ta is the the time for the first item working alone
Tb is the time for the second item alone
Tc is the time for them working together
1/9 + 1/6 = 1/Tc
I multiply by 54Tc to clear the fractions
54Tc (1/9 + 1/6) = 1/Tc *54Tc
6Tc + 9 Tc = 54
Combine like terms
15Tc = 54
Divide each side by 15
15 Tc /15 = 54/15
Tc =3.6 hours