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zimovet [89]
2 years ago
6

Which equation can be used to solve for b?

Mathematics
1 answer:
Tanya [424]2 years ago
8 0

Answer:

The first one

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan30° = \frac{opposite}{adjacent} = \frac{AC}{BC} = \frac{b}{8}

Multiply both sides by 8

8 × tan30° = b, that is

b = 8tan30°

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Step-by-step explanation:

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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:

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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:

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

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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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Then:

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