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:
C £3.95
Step-by-step explanation:
11.85/3
=3.95
Answer:
<B=55°, <D=55°
Step-by-step explanation:
in a parallelogram, opposite angles are congruent. so:
3n-5=2n+15
n-5=15
n=20
now that we know n is 20, we can substitute that into either <B or <D to figure out what their measures are (since they are congruent, they'll both have the same angle measure)
m<D=3n-5
m<D=3(20)-5
m<D=60-5
m<D=55
therefore, both <B and <D equal 55°.
It is +/- 11 you have to consider square root
