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:
2.25 hours for the man and 1.83 hours for the woman.
Step-by-step explanation:
We first find the number of calories consumed by both the man and the woman.
The man's calories are:
750+400+225 = 1375
The woman's calories are:
370+400+0 = 770
The man burns 610 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
1375/610 = 2.25 hours
The woman burns 770 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:
770/420 = 1.83 hours
Answer:
72
Step-by-step explanation:
Answer:
m, is approx 120
Step-by-step explanation:
m/6=21
since estimation is supposed to make everything easier we can estimate 21 as 20, as 20 is easier to multiply 6 with
so
m/6*6=20*6
m=120
hope this helps! if it does plz vote my answer the brainiest thanks!
