Answer:
<h2>(c) 8</h2>
Step-by-step explanation:
The number of elements in a power set = the number of subsets of a set
Formula:
Let S be a sent ,the number of elements of the power set of S =
Where card(S) = number of element of S itself.
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In this case :
Card(S) = 3
Then
the number of elements of the power set of S =
8.5X60 = 510 feet/min
510X60 = 30,600 feet/hour
Multiply 3 by 265 and you have your answer 768
Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
