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777dan777 [17]
3 years ago
15

Find the area of the regular 30-gon with radius 10 mm.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

This polygon is comprised of 30 congruent triangles, each with a central angle of 12°  

And using trig, each has an area of......

(1/2)(20)^2 sin(12°) = 41.5823381636 sq ft

So, 30 times this = 1247.470144908 sq ft  = 1247.5 sq ft  (rounded to the nearest tenth)

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2 years ago
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Answer:

The \ equation \ in \ point \ and \ slope \ form \ is; \ y - 3 = -\dfrac{1}{2} \cdot (x - 1)

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

The slope of the given line is therefore m =\dfrac{1-3}{5-1} = \dfrac{-2}{4} = -\dfrac{1}{2}

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

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3 years ago
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How do you find the answer for 24y=7
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Step-by-step explanation:

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Answer:


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