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choli [55]
3 years ago
9

What is the following product? sqrt 12*sqrt 18

Mathematics
2 answers:
Luda [366]3 years ago
8 0

Answer:

6\sqrt6

Step-by-step explanation:

We are given that

\sqrt{12}\times \sqrt{18}

We have to find the value of given product.

\sqrt{12}\times \sqrt{18}

12=2\times 2\times 3

18=3\times 3\times 2

Substitute the values

\sqrt{2\times 2\times 3}\times \sqrt{3\times 3\times 2}

The product can be written as

2\sqrt3\times 3\sqrt2

2\times 3\times \sqrt{2\times 3}

6\sqrt6

Hence, the value of given product=6\sqrt6

uysha [10]3 years ago
6 0
------------------
√12*√18

2√3√18

2√3 x 3√2

2 x 3√3 x 2

2 x 3√6

6√6 or 14.696938
------------------
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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.
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:

  • 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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3 years ago
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