Question

A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are: (6.5,5), (18.5,0), (6.5,−5),

(−6.5,−5), (−18.5,0), and (−6.5,5). How long is each side of the park?

Answer 1

(-6.5, -5) (-18.5,0), (-6.5, 5)

Answer 2

The difference will be of 3.375 times or 237% more than the number of kilowatts per hour of a 10 miles per hour average local wind.

Explanation:

Since the energy per kilowatts per hour can be calculated as:

`E/h=0.5p*U^3/1000`

Wher p and U is the respective air density in kg/m^3 and average wind speed in m/s. Therefore for the air density of 1.22k kg/m^3 and the wind speed of 10 miles/h (4.44 m/s) and 15 miles/h (6.66 m/s):

`E/h(10)=0.5*1.22 * 4.44^(3)/1000=35.29 kW/h`

`E/h(15)=0.5*1.22 * 6.66^(3)/1000=119.12 kW/h`

Dividing the energy for 15 miles/h by the energy for 10 miles/h:

`(E/h(15))/(E/h(15))=119.12/35.29 = 3.375`

Thats means an increase of 237%