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maria [59]
3 years ago
14

Use the letters a, b, c, d, e, and f. write all possible selections of three letters that can be formed from the letters. (the o

rder of the three letters is not important. enter your answer as a comma-separated list of three-letter combinations. the order of these sets of letters is not important.)
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
There are 6C3 = 20 such combinations.
abc, abd, abe, abf
acd, ace, acf, ade
adf, aef, bcd, bce
bcf, bde, bdf, bef
cde, cdf, cef, def
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

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Factoring 72:

Factoring 72 into prime factors, we have that:

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36|2

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1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

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Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

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