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:
2/9 is the correct option.
Step-by-step explanation:
As the spinner is numbered 2, 4 and 5
The general formula for probability :
P(A) = n(A) / n(S)
n(S) is the number of whole states occur in two spins which is 3 × 3 = 9
n(A) is the event that Rico will get a product of 20.
n(A) = 2 ∵ 4 × 5 and 5 × 4 will bring the product 20.
Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:
P(A) = n(A) / n(S)
= 2/9
Therefore, 2/9 is the correct option.
Riley's age = r
Riley's brother's age = r/4
If Riley was 11 five years ago, Riley is currently 11 + 5 years old, or 16 years old.
Now we just need to use r/4 to find Riley's brother's age:
16 /4 = 4
Riley's brother is 4 years old.
Hope this helps!
Answer:Since x=2 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation: