The averge monthily tempanatue, y, in degrees Farenheit, for a citys Ex- 2)+ 38, where x is the month of the the highest average monthly tempaaturi Can be molded bu y= 20 sin year ( Jan:I, Feb=2, Dec = 12). What is ... Tn which month does this occur

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The average monthly temperature, \( y \), in degrees Fahrenheit for a city can be modeled by the equation:

\[
y = 20 \sin \left( \frac{\pi}{6} x - \frac{2\pi}{3} \right) + 38
\]

where \( x \) is the month of the year (Jan = 1, Feb = 2, ..., Dec = 12).

**Question:**
What is the highest average monthly temperature? In which month does this occur?
Transcribed Image Text:The average monthly temperature, \( y \), in degrees Fahrenheit for a city can be modeled by the equation: \[ y = 20 \sin \left( \frac{\pi}{6} x - \frac{2\pi}{3} \right) + 38 \] where \( x \) is the month of the year (Jan = 1, Feb = 2, ..., Dec = 12). **Question:** What is the highest average monthly temperature? In which month does this occur?
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