Answer:
The answer, using your equation is: 11 hours, 51 minutes and 44 seconds, that is the number of daylight hours in that city
Step-by-step 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:
[tex]y=2.15sin(\frac{2\pi }{12}x)+10= 2.15sin(\frac{2\pi }{12}(220))+10[/tex]
Then using a calculator in radians:
[tex]y=2.15(sin(0,524*220))+10[/tex]
[tex]y=2.15(sin(115.192))+10[/tex]
[tex]y=2.15(0,866)+10[/tex]
[tex]y=1.862+10[/tex]
[tex]y=11.862[/tex]
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
