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Kazeer [188]
3 years ago
14

How is 7 21/25 written as a decimal

Mathematics
1 answer:
aivan3 [116]3 years ago
7 0
 Im pretty sure the answer is 7.84. i got this because 7 is a whole number so it is in the whole number spot. Then, you have to get your denominator to 100. So, what times 25 equals 100? its 4. so you get 100 so whatever you do to your denominator you do to your numerator. so 21 times 4 is 84. so 84/100 is actually 7.84. Hope this helped
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elixir [45]

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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

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

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

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

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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Read 2 more answers
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