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vivado [14]
2 years ago
10

What is the simplified form of the expression? 3/a-9b

Mathematics
2 answers:
GrogVix [38]2 years ago
8 0
3 ÷ a - 9b =
1/3a - 3b

hope this helps
andrey2020 [161]2 years ago
6 0
What you must do for this case is to rewrite the expression in a simplified way.
 We have then:
 3/a-9b
 We take common factor 3:
 (3)*(1/a-3b)
 Answer:
 The simplified form of the expression is:
 (3)*(1/a-3b)
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3 years ago
Is the following number rational or irrational? -3+π
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If you remove the decimal part of π by subtracting the integer part of it, that is the number 3. the result will still being and irrational number

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3 0
3 years ago
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

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  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
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Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

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  • 3 pieces = X

Then:

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  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

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3 years ago
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