Answer:
27.5
Step-by-step explanation:
1.5(5)+20=27.5
:) hope its right :)
The answer is (-1,0) or x=-1 and y=0 :)
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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<u><em>Answer:</em></u>
Total fair of the two trips was $32.7
<u><em>Explanation:</em></u>
<u>We are given that the expression that taxi fair is:</u>
2.85 + 2.7M where M represents the number of miles
<u>1- For Thursday:</u>
Number of miles covered = M = 6 miles
<u>Substitute with M=6 in the given equation to get the fair on Thursday as follows:</u>
Fair on Thursday = 2.85 + 2.7(6) = $19.05
<u>2- For Friday:</u>
Number of miles covered = M = 4 miles
<u>Substitute with M=4 in the given equation to get the fair on Friday as follows:</u>
Fair on Friday = 2.85 + 2.7(4) = $13.65
<u>3- The total fair:</u>
Total fair = fair on Thursday + fair on Friday
Total fair = 19.05 + 13.65 = $32.7
Hope this helps :)
