Answer:
$44.74
------Work------
6.25 x 5 = 31.25
31.25 + 12.50 = $44.74
Step-by-step explanation:
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</3 PureBeauty
Answer:
C(cone with a radius of 8 units)
Explanation:
When a triangle is spun around its center, it makes a cone (can't make a cylinder because when spun, it doesn't have 2 circular bases). The radius would be 8 because that is what makes the circular base. The 6 is just the height of the triangle and cone once it is spun, it doesn't have anything to do with the base and its radius.
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:
What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.