T(t)T, models the daily high temperature (in Celsius) in Santiago, Chile, t days after the hottest day of the year. Here, t is entered in radians.

T(t)=7.5cos(2π/365t)+21.5


What is the second time after the hottest day of the year that the daily high temperature is 20 degrees celsius?


Round your final answer to the nearest whole day.

Respuesta :

Answer:

the answer is 262 days

Step-by-step explanation:

On 102.89[tex]102.89^{th}[/tex] day from the hottest day of the year, the daily high will be 20 degrees Celsius.

What is a Function?

A function is a law that relates the dependent and the independent variable.

The function that models the temperature is given

T(t)=7.5cos(2π/365t)+21.5

here t is in radian

The temperature will be 20 degree Celsius at

20 = 7.5 cos (2π/365t) +21.5

-1.5 /7.5 = cos (2π/365t)

cos⁻¹ ( -0.2) = 2π/365)t

1.772 *365 /(2*π) = t

t = 102.89 day from the hottest day.

Therefore, on 102.89[tex]102.89^{th}[/tex] day from the hottest day of the year, the daily high will be 20 degrees Celsius.

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