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:
(0,0)
Step-by-step explanation:
y value divided by x value for slope, then use desmos
Answer:
The line segment partitioned two-fifths from A to B is (10,6)
Step-by-step explanation:
First point from A to B is (16,8)
than find the difference between A to B i.e B - A
(1,3)-(16,8) = (-15,-5)
To measure the (2/5) difference we will multiply (-15,-5) with (2/5) which is equal to (-6,-2)
Now Add the difference to the first coordinate (point A) gives
Point of division = (16,8)+(-6,-2)
Point of division = (16-6, 8-2)
Point of division = (10,6)
Answer:
8.04672 kilometers
1 mile = 1.06 km
5 miles = 8.04 ( or 8.04672)
1cm³=1mL
1942cm=x mL
1cm³ 1942cm³
________ = ________
1mL x mL
Cross multiply
1x=1942
divide both sides by 1
x=1942mL
Answer=1942mL
