Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.