Step-by-step explanation:
please check your question once and chose correct answer which one is helpful to you
In 1)
Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)
Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)
Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)
If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.
So,
Option D will be correct.
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
#SPJ1
Answer:
Step-by-step explanation:
Order shouldn't make any difference.
3 C 4 = 4!/(3! 1!) = 4
Let's see if that is right.
1 2 3
1 2 4
1 3 4
2 3 4
Any other combination will produce a duplicate if order doesn't matter. For example
2 4 3 is the same thing as 2 3 4
Answer:
C
Step-by-step explanation:
In order to be able to find the circumference in relation to radius, you have to use the formula C = 2πr
Hope this helped :)