It's an equilateral triangle, therefore
AB = BC = BA
We have the equation:
![\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7Dx-12%3D%5Cdfrac%7B1%7D%7B2%7Dx-2%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%202%7D%5C%5C%5C%5C3x-24%3D1x-4%5Cqquad%5Ctext%7Badd%2024%20to%20both%20sides%7D%5C%5C%5C%5C3x%3Dx%2B20%5Cqquad%5Ctext%7Bsubtract%20x%20from%20both%20sides%7D%5C%5C%5C%5C2x%3D20%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5Cx%3D10)
![BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3](https://tex.z-dn.net/?f=BC%3DBA%5Cto%20BC%3D%5Cdfrac%7B1%7D%7B2%7D%2810%29-2%3D5-2%3D3)
<h3>Answer: BC = 3</h3>
Answer:
The sprinkler can spread water 18 feet away.
Step-by-step explanation:
We are given the following in the question:
Area formed by watering pattern = 1,017.36 square feet
We have to find the how far the sprinkler spread the water.
The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.
Area of circle =
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
where r is the radius of the circle.
Putting values, we get,
![1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}](https://tex.z-dn.net/?f=1017.36%20%3D%203.14%20r%5E2%5C%5C%5C%5Cr%5E2%20%3D%20%5Cdfrac%7B1017.36%7D%7B3.14%7D%5C%5C%5C%5Cr%5E2%20%3D%20324%5C%5Cr%20%3D%20%5Csqrt%7B324%7D%20%3D%2018%5Ctext%7B%20feet%7D)
Thus, the sprinkler can spread water 18 feet away.
10 separated into 5 groups is 10/5
5 goes into 10 2 times.
10/5=2
It will make 16 rotation
hope it helps plz mark as brainliest