Maten forgot some of her 12 facts. She wants to find 6x12 , but all she can remember is 5x12=60 . How could she use the fact 5x1
1 answer:
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Answer:
<u><em>Dimension of box:-</em></u>
Side of square base = 10 in
Height of box = 5 in
Minimum Surface area, S = 300 in²
Step-by-step explanation:
An open box with a square base is to have a volume of 500 cubic inches.
Let side of the base be x and height of the box is y
Volume of box = area of base × height
Therefore,
It is open box. The surface area of box, S .
Put
This would be rational function of surface area.
For maximum/minimum to differentiate S(x)
For critical point, S'(x)=0
Put x = 10 into
y = 5
Double derivative of S(x)
at x = 10
Therefore, Surface is minimum at x = 10 inches
Minimum Surface area, S = 300 in²
<h2>Answer: A. Both are rational.</h2>
Step-by-step explanation:
Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.
In this sense:
Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.
If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:
The result is an integer
The result is an integer