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
ANSWER:
A
EXPLAIN:
Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be
273/6=45.5 g
1 ball=45.5 g
2 balls =2*45.5=91 g
3 balls =3*45.5=136.5 g
4 balls=4*45.5=182 g
5 balls =5*45.5=227.5 g
6 balls =6*45.5=273 g
Answer:
gallons
Explanation:
Total amount of soda bought by Yoxel = 
=
gallons
Amount of Pepsi =
gallons
Therfore,
Amount of sprite =
gallons
Answer:
1/2
Step-by-step explanation:
cot∅ = 1/tan∅
cot∅ = 1/2
Answer:
2y + 4z = x
Step-by-step explanation:
Given
Required
Write an equation that which is true for the above parameters
<em>This question will be answered using trial by error method and the solution is not limited to one equation.</em>
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One equation that matches the values above is:.
To check:
Substitute the values of x, y and z in the above equation.
Hence,
Because both sides of the equation are one and the same (-4), is true for the above values of x, y and z.
