Question

Using your equation, estimate the number of daylight hours in this city on the 220th day of the year.

My equation = y = 2.15sin(2pi/12)x + 10

Answer 1

The answer, using your equation is: 11 hours, 51 minutes and 44 seconds, that is the number of daylight hours in that city

Explanation:

Ok, in a normal year, the 220th day is the 8 of august, that is 08-08.

So, using x=220, we can estimate the number of daylight hours in that city:

`y=2.15sin((2\pi )/(12)x)+10= 2.15sin((2\pi )/(12)(220))+10`

Then using a calculator in radians:

`y=2.15(sin(0,524*220))+10`

`y=2.15(sin(115.192))+10`

`y=2.15(0,866)+10`

`y=1.862+10`

`y=11.862`

Then, you have that is 11 hours, but what about the 0.862 hours? We convert the to hours knowing that 1 hour has 60 minutes. Then 0,862*60 minutes= 51,72 minutes. And we do this for the 0,72 minutes as well, knowing that 1 minute has 60 seconds, then 0,72*60= 44 seconds.

The number of hours is 11 hours, 51 minutes and 44 seconds