C = circumference of circle
p = perimeter of square
c + p = 29
p = 29 - c
side of square = (29 - c)/4
radius of circle = c/(2pi)
a = side^2 + (pi)r^2
a = ((29 - c)/4)^2 + pi * (c/(2pi))^2
a = (1/16)(841 - 58c + c^2) + (c^2/(4pi^2)) * pi
a = 52.5625 - 3.625c + c^2/16 + c^2/(4pi)
Since the 2nd degree term has a positive coefficient is positive, this has a graph that is a parabola opening up. It has a minimum value.
We take the derivative of the area expression and set equal to zero to find the minimum circumference.
da/dc = -3.625 + c/8 + (c/(2pi)) = 0
c = 12.76
Answer: 12.76 cm
Answer:
Step-by-step explanation:
A=πr2
= (3.14)(27)2
= 2289.06
Answer:0.222222
Step-by-step explanation:
DIVIDE 2 BY 9
Answer:
x=13
Step-by-step explanation:
1. divide both sides by 3
2. simplify: 4x-7=45
3. add 7 to both sides
4. 4x=52
5. divide both sides by 4
6. x=13
Answer:
To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.
Step-by-step explanation:
