Answer:

Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have
, the height of the triangle y is easily found by

Solving for y

The value of z can be found by using


The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus


Answer:
B. 2/3
Step-by-step explanation:
0 is less than 1 but not greater than 0.
1 isn't less than 1 but is greater than 0.
3/2 is actually 1.5. 1.5 isn't less than 1 but is greater than 0.
The correct answer is 2/3 because:
2/3 is less than 1 whole.
2/3 is greater than 0.
Hope this helps.
Hi friend,
Capital City's population would be B) 2240
Answer:
Step-by-step explanation:
Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.
It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.
Now in order to solve the problem we just need OQ=OL

Therefore the perimeter of the pentagon is

Perimeter= 2w+2l
l=w+5
Substitute for l
p= 2w+2(w+5)
p= 2w+2w+10
p= 4w+10
58=4w+10
48=4w
12= w
Plug in the width to find length.
l= 12+5
l=17
Final answer: Length-17 cm, Width-12 cm