Answer:
a=7, b=14
Step-by-step explanation:
a. 2/6=x/21
cross multiply=
2×21=x×6
then solve
42=6x
divide both sides by 6
x=42/6=<u>7</u>
b. 150/84=25/x
cross multiply=
84×25=150×x
then solve
2100=150x
divide both sides by 150
x=2100/150=<u>1</u><u>4</u>
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Part A: Square cross-section
Part B: Rectangle cross-section
For this case we must solve the following equation:

If we apply cubic root to both sides of the equation, then we eliminate the exponent on the left side:
![\sqrt [3] {x ^ 3} = \sqrt [3] {22}\\x = \sqrt [3] {22}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7Bx%20%5E%203%7D%20%3D%20%5Csqrt%20%5B3%5D%20%7B22%7D%5C%5Cx%20%3D%20%5Csqrt%20%5B3%5D%20%7B22%7D)
That is the exact solution of the equation. Its decimal solution is given by:
![x = \sqrt [3] {22} = 2.8020](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%20%7B22%7D%20%3D%202.8020)
ANswer:
The solution to the equation is ![x = \sqrt [3] {22} = 2.8020](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%20%5B3%5D%20%7B22%7D%20%3D%202.8020)