Answer:
x = 18 cm
y = 9 cm
Step-by-step explanation:
An open-top box will have minimum surface area when it is in the shape of half a cube. The whole cube would have volume 2×2916 = 5832 cm³, so its side length would be ∛5832 cm = 18 cm.
The dimensions of the box are x = 18 cm; y = 9 cm.
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The surface area is x^2 +4xy, where y = 2916/x^2. That is, the surface area is ...
S = x^2 +11664/x
Setting the derivative to zero, we find ...
dS/dx = 0 = 2x -11664/x^2
x^3 = 5832 . . . . . . . . may look familiar
x = ∛5832 = 18
y = 2916/18^2 = 9
Answer:
105
Step-by-step explanation:
you will do 15 times 7 times how many people is there
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 2π (360°).
The steps to solving an inequality are: add or subtract from each side - multiply or divide both sides - simplify.
5x + 8 > -12
5x > -12 - 8
5x > -20
x > -20/5
x > -4
The answer is: x > -4
The banana will land on the shrub after 1.88 seconds
Step-by-step explanation:
- Step 1: Find the height of the shrub above the ground.
Height = 50 ft - 30 ft = 20 ft
- Step 2: Find the time at which the banana falls on the shrub
h(t) = -16t + 50
20 = -16t + 50
-30 = -16t
∴ t = 30/16 = 1.88 seconds