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2 years ago

Let A = {15, 25, 35, 45, 55, 65} and B = {25, 45, 65}. What is A ∩ B?

Mathematics

1 answer:

NemiM [27]2 years ago

5 0

Answer:

A∩B={ $25, 45, 65$ }

B is a proper subset of A:

B⊂A

Step-by-step explanation:

A∩B means the intersection of the set A and the set B. In other words, is the set of elements contained in these both sets.

Given the set A and the set B:

$A =$ { $15, 25, 35, 45, 55, 65$ }

$B =$ { $25, 45, 65$ }

You can indentify that the numbers common in both sets are: 25,45 and 65.

Therefore you get:

A∩B={ $25, 45, 65$ }

Since all elements of B are in A, and A contains elements that are not in B, then B is a proper subset of A:

B⊂A

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30-60-90 triangle = 4, 8, 4*sqrt(3)
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Explanation:

The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.

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