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
You can't solve for x. Y=mx+b is slope intercept form and is used to graph equations
CBD is the first blank; and the second i think is ASA
Answer:
i think it's c
Step-by-step explanation:
ok so i think i get it, volume is width*length*depth so dividing the known volume by its width gives you the length*depth.
after that set up a porportion:
(L*W)of known/92 = x/46
solve for x gives you the length*depth of the unknown volume, times that but the 46 width.. i got 60
i think that's right but im not a teacher or anything
Answer:
The correct answer is A.
Step-by-step explanation:
You do not need to perform any operations to derive the correct answer from the choices provided. As you can see from the choices, the 3/4th power of 81 will turn out to be 27 (![\sqrt[4]{81 * 81 * 81}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%20%2A%2081%20%2A%2081%7D%20)
). The 3/4th power of d to the power of 24 is d to the power of 18 (
).
With that being said, the most important thing to take note of is the <u><em>negative</em></u><em> </em><u><em>symbol</em></u> of the power. A negative power turns a value into its reciprocal. In this case, both the 81 and the d to the power of 24 will both go into the denominator (since the two are encompassed in a set of parentheses together) — you apply what was previously mentioned regarding what the power of 3/4 will do to 81 times d to the power of 24 — and your answer is choice A!
