You treat this problem as though it's a regular triangle.
You plug the numbers 24 and 45 into the equation for a triangle which is A=1/2 (L x W)
So what you get is A= 1/2 (24 x 45)
Which can be simplified to A= 12 x 45.
In the end that totals to 540 meters.
Answer:
1 'standard' drink usually refers to 5 ounces of wine (with 12% alcohol)
So 37 ounces will be 37/5 = 9 and 1/4 drinks
Answer: -31.72
Step-by-step explanation:
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