The answer is B. The actual reciprocal is 7/2, since the answer means isn't there its means the reciprocal of the negative or positive sign
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
Step-by-step explanation:
Patrick pizza parlor is famous for its giant circular pizza, which has an area of 1519.76 square inches. The pizza is circular in shape. The formula for determining the area of a circle is expressed as
Area = πr^2
π is given as 3.14
Therefore,
1519.76 = 3.14 × r^2
r^2 = 1519.76/3.14 = 484
Taking square root of both sides of the equation, it becomes
r = √484 = 22 inches
Diameter = 2 × radius.
Therefore, the diameter of the giant pizza is 2 × 22 = 44 inches
Circle Q is a translation of circle P, 6 units up and <span>Circle Q is a dilation of circle P with a scale factor of 7 are both correct answers.
Similar figures can result when a figure is translated (moved or slid) to a different position or when it remains the same shape but in a different size (dilation).</span>
Answer:
.
Step-by-step explanation:
.
