Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The average daily high temperature in Seattle is modeled by the function T = –15 cos(πm/6)+ 61, where T is the temperature in °F, and m is the number of months since the beginning of the year. What is the value of m when the average daily high temperature T is 76°F

The Average Daily High Temperature In Seattle Is Modeled By The Function T 15 Cosπm6 61 Where T Is The Temperature In F And M Is The Number Of Months Since The class=

Sagot :

fieryanswererft

Answer:

[tex]m = 6[/tex]

Step-by-step explanation:

[tex]T = -15cos(\frac{\pi m}{6}) +61[/tex]

[tex]76 = -15cos(\frac{\pi m}{6}) +61[/tex]

[tex]76-61 = -15cos(\frac{\pi m}{6})[/tex]

[tex]15 = -15cos(\frac{\pi m}{6})[/tex]

[tex]\frac{15}{-15} = cos(\frac{\pi m}{6})[/tex]

[tex]-1 = cos(\frac{\pi m}{6})[/tex]

[tex]cos^{-1}( -1) = \frac{\pi m}{6}[/tex]

[tex]\pi = \frac{\pi m}{6}[/tex]

[tex]6\pi = \pi m[/tex]

[tex]m = 6[/tex]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.