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slamgirl [31]
3 years ago
14

Find an expression for the number of colored border tiles needed for any N x N square center.

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

8N - 4 border tiles.

Step-by-step explanation:

There are 4 border tiles in each corner and between  the tiles there are N-2 tiles along the 4 sides.

So the number of border tiles

= 4+ 4(N - 2)

= 4 + 4N - 8

= 8N - 4.

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Find a compound proposition involving the propositional variables p, q, and r that is true when exactly two of p, q, and r are t
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Answer:

Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

Step-by-step explanation:

This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.

First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.

Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.

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3 years ago
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<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

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Considering the triangle BOD, we have:

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Read more about angle measures at:

brainly.com/question/17972372

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