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Maslowich
3 years ago
14

What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?

Mathematics
1 answer:
N76 [4]3 years ago
3 0
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:

1. <span>Construct a circle with its center at point H.

2. </span><span>Construct horizontal line l and point H on line l

3. </span>Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.<span>

4. Construct a circle with its center at point J and having radius ​ HJ ​ . Construct a circle with its center at point K having radius ​ HJ

5. </span><span>Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.

6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
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Which number is an integer?
Ne4ueva [31]

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

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3 years ago
Find the inverse function of
shtirl [24]

Answer:

f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4  \\ divide \: both \: sides \: by \: 20 \\ y =  \frac{1}{20} x +  \frac{1}{5}  \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) =  \frac{1}{20} x +  \frac{1}{5}

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

3 0
2 years ago
RYAN COMPLETED 1/8 of his test in 2/5 hour.if ryan's rate stayed the same,how much of his test was finished in one hour? help pl
KiRa [710]

Answer:

<h2>5/16</h2>

Step-by-step explanation:

Multiply 1/8 by 2.5

1/8 x 2.5 = 5/16

Ryan will have completed 5/16 of his test at the 1 hour mark.

I'm always happy to help :)

7 0
3 years ago
(PLEASE ANSWER + BRAINLIEST!!)
Licemer1 [7]
The answer is x=20.  Hope this helps.
8 0
3 years ago
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
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