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NemiM [27]
3 years ago
11

Anybody know the answer to this?

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
<h3>Answer: Choice B</h3><h3>{4,5,6,7}</h3>

====================================================

Explanation:

Set A = {4,5,6,7,8,9} since these values are larger than 3 and smaller than 10. We only consider whole numbers in this range.

Set B = {1,2,3,4,5,6,7} represents positive whole numbers less than 8

To find the set A \cap B we need to see which values are in both A and B at the same time. Those values are {4,5,6,7}

So A \cap B = \{4,5,6,7\}

--------

side note: the notation A \cap B means "A intersect B", so we're looking at where the two sets intersect or overlap (ie what they have in common).

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===========

\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{\sqrt{5}}{3}}{\frac{-2}{3}}

Multiplying top and bottom by 3 gives:

\tan(\theta)=\frac{\sqrt{5}}{-2}

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\tan(\theta)=\frac{-\sqrt{5}}{2}

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