The only possible outcome to this would be any number greater or less than 361 in the 300’s
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
C.....hlj so yeah because it shows it on the diagram
Each inch in the map is equivalent to 8 miles.
Explanation:
There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.
So 8 inches on that particular map = 24 miles in real life.
To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.
inches on the map = 
miles between the two parks in real life,
1 inch on that particular map = 3 miles in real life.
So each inch on the given map is equal to 8 miles in real life.
