49.71 miles is the answer
Step-by-step explanation:
Let "c" be the original number of classrooms.
The 1200/c was the original number of students per classroom.
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Equation:
1200/(c-4) = (1200/c)+10
Multiply thru by c(c-4)
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1200c = 1200(c-4)+10c(c-4)
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1200c = 1200c-4800 + 10c^2-40c
----
10c^2-40c-4800 = 0
c^2-4c-480 = 0
Factor:
(c-24)(c+20) = 0
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Positive solution:
c = 24 (# of classrooms originaly planned)
we know that
Area of the circle is equal to

where
r is the radius
in this problem



therefore
the answer is the option
d. 113.04 sq. in.
Answer:

Step-by-step explanation:
<u><em>Given Equation is </em></u>
=> 
Comparing it with
, we get
=> a = 2, b = 7 and c = -9
So,
Sum of roots = α+β = 
α+β = -7/2
Product of roots = αβ = c/a
αβ = -9/2
<em>Now, Finding the equation whose roots are:</em>
α/β ,β/α
Sum of Roots = 
Sum of Roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = 
Sum of Roots = 
Sum of roots = 
Sum of roots = S = 
Product of Roots = 
Product of Roots = P = 1
<u><em>The Quadratic Equation is:</em></u>
=> 
=> 
=> 
=> 
This is the required quadratic equation.