Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Get accurate and comprehensive answers to your questions from our community 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 :

Fieryanswererftidn

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]

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.