Answer:
A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer
Answer:
Step-by-step explanation:
Following numbers are written in scientific notations.
Answer: Tank dimensions:
s = 12 ft
h = 6 ft
Step-by-step explanation:
s = lenght side of the square base
A the total area of of the tank ( this area is the area of the base plus the lateral area (4) times
h = the height of the tank
V = 864 ft³ V = s² * h ⇒ h = V/s² ⇒ h = 864/ s²
Then we have :
A (total) = Base area + 4 * lateral area
Area of the base is s²
Lateral area is s * h but we have 4 wall so lateral area = 4*s*h
Then Objective function is :
A(s) = s² + 4*s * V/s² ⇒ A(s) = s² + 4*864/s ⇒ A(s) = s² + 3456/s
Taken derivative of the objective function:
A´(s) = 2s - 3456/ s²
Solving for s
2s - 3456/s² = 0 ⇒ 2*s³ - 3456 = 0 ⇒ s³ = 3456/2 ⇒ s³ = 1728
s = ∛1728 ⇒ s = 12 ft
So h = V/s² ⇒ h = 864 / 144 ⇒ h = 6 ft
Six less than x equals twenty two
X-6=22
so X is 228
X=22+6
x=28
Answer:
the answer is 160
Step-by-step explanation:
