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
20% is one fifth, so you would multiply $15 by 5 to get an answer of 75
Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)
Thirty-one and 903 thousandths
Answer:
g(-3)=9
Step-by-step explanation:
Replace all of the (x) with -3
So the new equation
g(-3)= -2(-3)+3
Now simplify
g(-3)= 6+3
Simplify further
g(-3)= 9
Hope this helps!