A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
1 answer:
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 =
Putting values, we get:
Therefore, the sprinkler can spread water 18 feet away.
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Answer:
Exact form:
Decimal form:
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
Placing into the desired format, the exact format is:
In the decimal part, we divide 8 by 9. So
Solving for x:
We apply the inverse sine. So
The solution for x is of 10.455º
It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this. That will look like this: 
. FOIL out the left side to get 
. FOIL out the first of the 2 expressions on the right to get 
, and the second of the 2 to get 4x. Our equation now looks like this: 
. Combine like terms to get an equation that still has square roots in it that we have to deal with: 
and 
. We will square both sides to get rid of the square root sign. 
. This is a polynomial now that can be factored to solve for x. Bring the 2x over by subtraction and set the polynomial equal to 0. 
. Factor out an x, leaving us with x(x-2)=0. That means that x = 0 or x - 2 = 0 and x = 2. Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2. x = 2