The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
![[70-(\pi )x -x]](https://tex.z-dn.net/?f=%5B70-%28%5Cpi%20%29x%20-x%5D)
Length = ![[70-(1+\pi )x]/2](https://tex.z-dn.net/?f=%5B70-%281%2B%5Cpi%20%29x%5D%2F2)
Total area =
area of rectangle + area of the semi-circle.
Total area =
![x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2](https://tex.z-dn.net/?f=x%5B%5B70-%281%2B%5Cpi%20%29x%5D%2F2%5D%20%2B%20%5B%28%5Cpi%20%29%28x%2F2%29%5E2%5D%2F2)
When we square it we would have
![70x +[(\pi /4)-(1+\pi)]x^2](https://tex.z-dn.net/?f=70x%20%2B%5B%28%5Cpi%20%2F4%29-%281%2B%5Cpi%29%5Dx%5E2)
This gives
![70x - [3.3562]x^2](https://tex.z-dn.net/?f=70x%20-%20%5B3.3562%5Dx%5E2)
From here we divide by 2

The maximum side would be at

This gives us 20.8569
Read more on areas and dimensions here:
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Answer:
y = 6
Step-by-step explanation:
Given
6y - 2 = 34 ( add 2 to both sides )
6y = 36 ( divide both sides by 6 )
y = 6
Option D:
is the solution
Explanation:
The given expression is 
We need to determine the factors of the expression by grouping.
The solution can be determined by factoring the common terms in the expression.
Let us group the expression.

Let us factor out the common terms from the two groups.
Thus, we have,

Thus, the factors of the expression is 
Answer:
Correct Answer: A.
Step-by-step explanation:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Answer: Lunch:$16 Coffee: $4 Julie had $12 left.
Step-by-step explanation: