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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:
I would think all since we use those in our daily life
Step-by-step explanation:
In Math
Reading
Science
we use parentheses
You're thinking b=1 will always give an integer, certainly true.
Then you think b=-1 will also always give an integer, so
Answer: ±1
Then you remember that a/b may not be a reduced fraction, so other bs beside the unit make give integers. The condition for an integer is
b | a
read 'b divides a' meaning a is a multiple of b.
Then you realize that a and b might not even b integers themselves.
Let's say the above answer is correct with the additional criteria that a and b are integers with no common factors.
Answer:
9.25
Step-by-step explanation:
Mark doubled the number so we can divide 40.5 by 2 which is 20.25
Then we can subtract 11 from 20.25 because Mark added 11 to the number.
