1,150ft + 35ft = 1,185ft
The reason you wouldnt subtract would be that you cant have negative 35 ft. You add the two heights together to produce your answer.
all prime nubers except 3 and 5..
A pentagon has 5 sides and 5 angles
The volume of a Cube/Rectangular Prism is Length times Width times Height, (or for short L*w*h).
For a cube, the length, width, and height are equal. So the volume of a cube is L*L*L
In the question it says that the you know the length of one of the cubes sides, which is (x + 5).
So L = (x + 5).
So, the unsimplified expression is:
L * L * L
= (x + 5) (x + 5) (x + 5)
= (x^2 + 10x + 25)(x + 5)
= x^3 + 10x^2 + 25x + 5x^2 + 50x + 125
= x^3 + 15x^2 + 75x + 125
Answer:
![\large\boxed{\sqrt[3]{\left(\dfrac{15}{4}\right)^2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D%7D)
Step-by-step explanation:
![a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------------\\\\\left(5\times\dfrac{3}{4}\right)^\frac{2}{3}=\left(\dfrac{5\times3}{4}\right)^\frac{2}{3}=\left(\dfrac{15}{4}\right)^\frac{2}{3}=\sqrt[3]{\left(\dfrac{15}{4}\right)^2}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bn%7D%7Bm%7D%3D%5Csqrt%5Bm%5D%7Ba%5En%7D%5C%5C---------------------%5C%5C%5C%5C%5Cleft%285%5Ctimes%5Cdfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B5%5Ctimes3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%5E2%7D)
Answer:
Step-by-step explanation:
![\left(5^\frac{3}{4}\right)^\frac{2}{3}\\\\\text{Use}\ (a^n)^m=a^{nm}\\\\5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^\frac{1}{2}=\sqrt[2]5=\sqrt5](https://tex.z-dn.net/?f=%5Cleft%285%5E%5Cfrac%7B3%7D%7B4%7D%5Cright%29%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C5%5E%7B%5Cfrac%7B3%7D%7B4%7D%5Ccdot%5Cfrac%7B2%7D%7B3%7D%7D%3D5%5E%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B1%7D%7D%3D5%5E%5Cfrac%7B1%7D%7B2%7D%3D%5Csqrt%5B2%5D5%3D%5Csqrt5)
