Answer: 85 degrees
Step-by-step explanation: 20x+5+24x-1=180
44x+4=180
-4 -4
44x=176
division property of equality x=4
20(4)+5=
80+5= 85 degrees
The answer is six thousand
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: Minister from the newly recognized republic the fol- ... annex Texas. They did not want to face that ... in recognizing the independence of Texas and, in supplement and obtained at the hands of one of the most ... of President Houston, in his message of the 5th of ...... the city of Washington, which proposition, after having.
