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:
brainly.com/question/19819849
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Answer:
1. y=3x-1
Step-by-step explanation:
y=mx+b
y=output
m=slope
x=input
b=y-intercept
Answer:
Step-by-step explanation:
radius=diameter/2
13/2
6.5
circumference of a circle=2πr
=2*3.14*6.5
=40.82 feet
=
We know that 1 million has 6 zeros. This means 1 million has 7 place values: one for the 1 and 6 for the zeros.
50 has 1 more place value than one, so 50 million has 1 more place value than 1 million.
So, 50 million has 8 place values.
Answer:
Step-by-step explanation:
you have a total of 5+7+4=16 marbles in the box.
5 are red
7 are white
4 are green
If you randomly select 1 marble out of the box, the probabilities are:
5/16 chance of being red
7/16 chance of being white
4/16 chance of being green
