The answer will be reflect (2, - 3 ) in x = -1
About 17 times. Just do 69/4
A subtracted from b means b-a
7g+11 subtracted from 12 means 12-(7g+11)=12-1(7g+11)=12-7g-11=12-11-7g=1-7g
Answer:
dot
Step-by-step explanation:
Answer:
Area of the garden:
![\begin{equation*} 398.93\text{ ft}^2 \end{equation*}](https://tex.z-dn.net/?f=%5Cbegin%7Bequation%2A%7D%20398.93%5Ctext%7B%20ft%7D%5E2%20%5Cend%7Bequation%2A%7D)
Explanation:
Given the below parameters;
Length of the rectangle(l) = 23 ft
Width of the rectangle(w) = 14 ft
Value of pi = 3.14
Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.
The radius(r) of the semicircle will now be;
![r=\frac{d}{2}=\frac{14}{2}=7\text{ ft}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B14%7D%7B2%7D%3D7%5Ctext%7B%20ft%7D)
Let's now go ahead and determine the area of the semicircle using the below formula;
![A_{sc}=\frac{\pi r^2}{2}=\frac{3.14*\left(7\right)^2}{2}=\frac{3.14*49}{2}=\frac{153.86}{2}=76.93\text{ ft}^2](https://tex.z-dn.net/?f=A_%7Bsc%7D%3D%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D%3D%5Cfrac%7B3.14%2A%5Cleft%287%5Cright%29%5E2%7D%7B2%7D%3D%5Cfrac%7B3.14%2A49%7D%7B2%7D%3D%5Cfrac%7B153.86%7D%7B2%7D%3D76.93%5Ctext%7B%20ft%7D%5E2)
Let's also determine the area of the rectangle;
![A_r=l*w=23*14=322\text{ ft}^2](https://tex.z-dn.net/?f=A_r%3Dl%2Aw%3D23%2A14%3D322%5Ctext%7B%20ft%7D%5E2)
We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;
![\begin{gathered} Area\text{ of the garden = Area of semi circle + Area of rectangle } \\ =76.93+322 \\ =398.93\text{ ft}^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Area%5Ctext%7B%20of%20the%20garden%20%3D%20Area%20of%20semi%20circle%20%2B%20Area%20of%20rectangle%20%7D%20%5C%5C%20%3D76.93%2B322%20%5C%5C%20%3D398.93%5Ctext%7B%20ft%7D%5E2%20%5Cend%7Bgathered%7D)
Therefore, the area of the garden is 398.93 ft^2