Question

Because the values of circular functions repeat every 2pi, they are used to describe things that repeat periodically. For example, the afternoon temperature in a given city might be modeled by the formula below. In the formula, t represents the maximum afternoon temperature in month x, with x=0 representing January, x=1 representing February, and so on.t=45-35 cos xpi/6
the max afternoon temp in March is=
The max afternoon temp in August is=
The max afternoon temperature in October is=

Answer 1

Answer:

The answers are respectively 45, 62.5 and 27.5 degrees.

Step-by-step explanation:

According to the given explanation and the formula in the question to calculate the temperatures in a city, the maximum afternoon temperatures for March, August and October respectively are;

March:  For March, x = 3 and cos($\frac{3\pi }{6}$) or cos($\frac{\pi }{2}$) is equal to 0 so when inserted into the equation we find that t = 45 - 35.0 = 45

August: For August, x = 8 and cos($\frac{8\pi }{6}$) is equal to -0.5 so when inserted into the equation we find that t = 45 - 35.(-0.5) = 62.5

October: For October, x = 10 and cos($\frac{10\pi }{6}$) is equal to 0.5 so when inserted into the equation we find that t = 45 - 35.(0.5) = 27.5

I hope this answer helps.