Answer:
The correct answer is option A. r
Step-by-step explanation:
From the figure we can see a circle and a parallelogram.
The circle is divided into a small sectors and these sector then arranged into a parallelogram.
The base of the parallelogram is half the circumference.
The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.
Therefore the correct answer is option A. r
In this equation w = -1.1
In order to find this, get all w values to the right side and all numbers to the left side.
-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms
-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides
-2.27 + 13.8w = -17.45 ----> add 2.27 to both sides
13.8w = -15.18 -----> divide both sides by 13.8
w = -1.1
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
![35x - 1.6781x^2](https://tex.z-dn.net/?f=35x%20-%201.6781x%5E2)
The maximum side would be at
![x = 35/2*1.6781](https://tex.z-dn.net/?f=x%20%3D%2035%2F2%2A1.6781)
This gives us 20.8569
Read more on areas and dimensions here:
brainly.com/question/19819849
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Answer:
6000000000
Step-by-step explanation:
Given the following question:
![6,010,499,999](https://tex.z-dn.net/?f=6%2C010%2C499%2C999)
<u>Find the billions place value:
</u>
![billions=6](https://tex.z-dn.net/?f=billions%3D6)
<u>Round to the nearest billion:</u>
![6,010,499,999](https://tex.z-dn.net/?f=6%2C010%2C499%2C999)
![0](https://tex.z-dn.net/?f=0%3C5)
![6000000000](https://tex.z-dn.net/?f=6000000000)
Your answer is "6000000000."
Hope this helps.
Hi there
Part a
49.98−49.98×0.5
=24.99
Part b
49.98−10
=39.98
Hope it helps