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

"make a point a anywhere in the circumference for the first vertex. place the compass on point a and draw an arc to create the next vertex of the hexagon."

which of the following statements should be added to make this step correct?
is it the width of the compass needs to be set to equal the radius of the circle. or is it the width of the compass needs to be set to equal half the radius of the circle.

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.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.