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Nadusha1986 [10]
3 years ago
14

8 A right rectangular prism is completely filled with small cubes. Each small cube

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0
A-20

i hope this helps!!
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Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
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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:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

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:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • 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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fhhhhhhhgtrhrehr this is the right answer

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The Parks Department collected data on 20 fishermen at a local lake. Each person caught two fish. The scatterplot below shows th
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I think it's A

Step-by-step explanation:

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Which number is not in scientific notation? 9 x 10^19 7.8 x 10^6 1.45 x 10^-7 0.33 x 10^-15
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1.45 x 10^-7 isn't in scientific notation because if it's negative, the decimal starts before the first real number, right?
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