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:
Step-by-step explanation:
It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed
Answer:
The answer is $1950
Step-by-step explanation:
Because they paid 3 bills after every to weeks so
3x5=15
and 15x130=
Answer: 16t^6−40t^3+25 is the answer
first lets set the equation as a binomial *remember 2 binomial= trinomial*
so its going to look something like..........
(4t^3-5) (4t^3-5)
now we do the foil method so 4t^3* 4t^3= 16t^6 (add exponents)
do the same for the other terms:
4t^3*-5= -20t^3
-5*4t^3= -20t^3
-5*-5= 25
now the whole equation is...
16t^6-20t^3-20t^3+25 (combine like terms like -20t^3 and -20t^3)
therefor the answer is... 16t^6-40t^3+25
Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
≈ 39.7ft
