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2 years ago

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

1 answer:

N76 [4]2 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. Construct a circle with its center at point H.

2. Construct horizontal line l and point H on line l

3. 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.

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. 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. Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .

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In March, there will be two conferences: one for math and one for history. So far, 7 people have signed up for the math conferen

otez555 [7]

Answer:

After 4 days, the number of people attending both conferences be the same.

Step-by-step explanation:

We are given the following in the question:

Maths conference:

Number of people already signed = 7

Number of people who sign up each day = 2

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

$f(x) = 7+2x$

History conference:

Number of people already signed =11

Number of people who sign up each day = 1

Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

$g(x) =11+x$

Both conference will have same number of people when

$f(x) = g(x)\\\Rightarrow 7 + 2x = 11+x\\\Rightarrow x = 4$

Thus, after 4 days, the number of people attending both conferences be the same.

5 0

2 years ago

Tamika went hiking with her friends. The beginning of -1 feet. The highest elevation on hiking path is 100 feet. What is the dif

const2013 [10]

hello!

so the difference is 101 and here is why!

you want to minus -1 from 100

100 - (-1)

but because it is a double negative it will become addition

100 + 1

so the difference is 101 feet

i hope this helped :)

4 0

2 years ago

Read 2 more answers

Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0

1 year ago

Help me please 10 points :)

nikklg [1K]

Answer:G

Step-by-step explanation:

4 0

2 years ago

Which of the following are important when representing functions? (Select all that apply.)

malfutka [58]

The statement that are important when representing functions are:

It is important to explain what your variable represents and to include units.

Functions may depend on more than one variable.

<h3>What is are functions?</h3>

A function can be described as the relation between a set of inputs that have one output each. it help to display the relationship between inputs in a case whereby each input is related to exactly one output.

We can denote the function by f(x) where x is the input.

Learn more about function at:

brainly.com/question/1415456

#SPJ1

7 0

1 year ago