ANSWER: ab√3ac
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How many solutions to this problem
2 answers:
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Answer:
Dimensions:
Perimiter:
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be =
Let weight on Earth be =
Its known that:
∝
Thus
where is constant of proportionality.
when , then
thus, we have
dividing both sides by 95.
∴
Thus when ,
would be calculated as
∴ (Answer)
∴ A 100 lb person will weight 40 lb on Mars.