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
I attached the document with the answers and work with the formulas. Since the formulas and fractions don't work very well with this site (especially the pi symbol, they should fix that).
:)
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark">
docx
</span>
Answer:
<h2>$13 </h2>
Step-by-step explanation:
Step one:
given
amount of pound= 2 1/2 in decimal notation= 2.5 pounds
cost of 2.5 pounds= $32.5
Step two:
Required
we want to find the charge per pound
if 2.5 pounds cost $32.5
1pound will cost x
cross multiply we have
x= 32.5/2.5
x=$13
The cost per pound is $13
Answer:
Step-by-step explanation:
Answer:
45600 pounds = 20683.8 kg to the nearest 10th.
Step-by-step explanation:
Consider the provided measurement
1 kg = 2.20462 pounds
1 pound = 0.453592 kg
Multiply both the sides by 45600.
1×45600 pound = 0.453592×45600 kg
45600 pound = 20683.812 kg
Now convert it to the nearest tenths as shown.
45600 pound = 20683.8 kg
Hence, 45600 pounds = 20683.8 kg to the nearest 10th.
