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:
Melon and Swirl is 50% and Cherry and Grape is 50%
Ok so the solution which greenrune will (hopefully) correct
total is 1.5
p+r=1.5
rule is 1 more than pencil
r=1+p
sub 1+p for r
p+1+p=1.5
2p+1=1.5
minus 1 from both sides
2p=0.5
divide both sides by 2
p=0.25
pencil=$0.25
Answer:
12/25
Step-by-step explanation:
0.48 is read as "forty-eight hundredths," so we can write it as a fraction as
48/100.
Since both 48 and 100 have a common factor, we can reduce the fraction.
48 and 100 are both divisible by 4.
48/100 = 12/25
There are no common factors of 12 and 25, so 12/25 is the answer.
Answer:
$140
Step-by-step explanation:
When a variable is placed directly after the coefficient (the number) with no symbols between them, we are supposed to multiply the two together. The variable <em>x</em><em> </em>represents the number of hours this person will spend cleaning your house, and we are trying to find the cost of 4 hours of cleaning. Therefore, we will substitute 4 for <em>x</em>:
Then, we multiply 35 by 4:
