3 years ago

Set B is a subset of set A.

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Answer:

False

Step-by-step explanation:

B is not subset of A because all the elements of B are not in A.

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How many boys are in a class of thirty-five student if the girls outnumber boys by five

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Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Round your answer to

IrinaK [193]

Given:

Each circle has a diameter of 2 inches each.

The outer square has a side length of 4 inches and the square ABCD has a side length of 2 inches.

To find:

The area of the shaded region.

Solution:

Each circle has a diameter of 2 inches. The square ABCD is at the center of each circle so it has a side length of 1 inch.

To determine the area of the shaded region, we subtract the area of the quarter-circles in the square ABCD from the area of the square ABCD.

The area of a quarter-circle $=\frac{\pi r^{2} }{4} .$

All the quarter-circles have a radius of 1 inch.

The area of 1 quarter-circle $=\frac{\pi r^{2} }{4} = \frac{\pi (1^{2}) }{4} = \frac{3.1415}{4} .$

The area of 4 quarter-circles $=4(\frac{3.1415}{4}) = 3.1415.$

So the area of the quarter-circles in the square ABCD is 3.1514 square inches.

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The area of the shaded region is 0.8585 square inches.

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