One of the most amazing things that happens in nature is the ability of bees to make a honeycomb. each cell of the honeycomb is a regular hexagon. if the side of one of these honeycomb cells is 2 millimeters, then what is its area? round your answer to the nearest tenth. use the equation a = ½ap for the area of the regular polygon.

Step-by-step explanation:

Please consider the attached image.

We have been given that each cell of the honeycomb is a regular hexagon. The side of one of these honeycomb cells is 2 millimeters.

We know that a regular hexagon is made of 6 equilateral triangles.

Let us find apothem of our given hexagon using Pythagoras theorem as:

Take positive square root of both sides:

Now, we will use formula for the area of the regular polygon to solve our given problem as:

A = ½ap, where,

A = Area of the regular polygon,

a = Apothem,

p = Perimeter of polygon.

Perimeter of our given hexagon would be 6 times 2 millimeters:

Round to nearest tenth:

Therefore, the area of the given honeycomb is approximately 10.4 millimeters square.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.