PLEASE HELP The following sentence shows one of the steps to construct a regular hexagon inscribed in a circle.

Mathematics

2 answers:

Whitepunk [10]3 years ago

7 0

Answer:

The width of the compass needs to be set to equal the radius of the circle.

Step-by-step explanation:

The statement that should be added to make this step correct is - The width of the compass needs to be set to equal the radius of the circle.

You can see the complete steps below:

1. Mark a point anywhere on the circle, which will be the first vertex of the hexagon.

2. Now set the compass on this vertex and set the width of the compass to the center of the circle. This setting is the radius of the circle.

3. Make an arc across the circle that will be the next vertex of the hexagon.

4. Now we will move the compass on to the next vertex and draw another arc. Now the third vertex of the hexagon will be drawn.

5. We continue the above step until we get all six vertices.

6. Lastly, we draw a line between each successive pairs of vertices. This forms the hexagon.

ludmilkaskok [199]3 years ago

3 0

Should be:

The width of the compass needs to be set to equal the radius of the circle

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Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.

Verizon [17]

We are given a function f ( x ) defined as follows:

$y=f(x)=x^{\frac{1}{9}}$

We are to determine the value of f ( x ) when,

$\times\text{ = }\frac{1}{2}$

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

$y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}$

We will apply the power on both numerator and denominator as follows:

$f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}$

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

$f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}$

Next apply the division operation as follows:

$f\text{ ( }\frac{1}{2})\text{ = }0.92587$

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be: