A plumber has a piece of pipe that is 2-meter long. He needs to cut it into sections that are 10 centimeters long. How many sect
1 answer:
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Answer:
The radius of the aquarium tank is
Step-by-step explanation:
we know that
Applying the Tangent Secant Theorem
we have that
substitute
Solve for D
Find the radius
The radius is half the diameter
Answer:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
Step-by-step explanation:
We have a rectangular base, that its twice as long as it is wide.
It must hold 12 yd^3 of debris.
We have to minimize the surface area, subjet to the restriction of volume (12 yd^3).
The surface is equal to:
The volume restriction is:
If we replace h in the surface equation, we have:
To optimize, we derive and equal to zero:
Then, the height h is:
The dimensions that minimize the surface are:
Wide: 1.65 yd
Long: 3.30 yd
Height: 2.20 yd
