The area the sprinkler sprays with water is 201.06 square feet.
Step-by-step explanation:
Step 1; It is given that the diameter of the circular area of grass that the sprinkler sprays with water is 16 feet. The diameter of a circle is equal twice its radius. So we divide the diameter by 2 to get its radius.
Radius of the circle = Diameter of the circle / 2 = 16 feet / 2 = 8 feet.
Step 2; The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 feet.
Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.
The value of g after solving the expression, 5/2-2g = 5g/2-3+g, is 1.
According to the question,
We have the following expression:
5/2-2g = 5g/2-3+g
Now, moving the terms with the same variables on one side and the integers on another side.
Note that when we move any number of term from one side to another which is in addition or subtraction will result in change of the sign from minus to plus and plus to minus.
5/2+3 = 2g+5g/2+g
Taking 2 as the least common factor on the left hand side and right hand side:
(5+6)/2 = (4g+2g+5g)/2
11/2 = 11g/2
Now, 11/2 on the left hand side can be divided by 11/2 on the right hand side:
g = 1
Hence, the value of g is 1.
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Answer:
Step-by-step explanation: