Image WXYZ has the following vertices - W(3, -4), X(1, 0), Y(5, -1), Z(4, -4). Image WXYZ is rotated 180 degrees about the origi
2 answers:
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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
Answer:
The probability is 1/17.
Step-by-step explanation:
The total number of ways in which 2 cards can be selected from a pack of 52 cards is
The total number of combinations of 2 cards with hearts equals
Thus the probability of the event that both the cards have hearts becomes