Mathematics: The average daily maximum temperature for laura’s hometown can be modeled by the function f(x)=4.5sin(πx/6)+11.8 , where f(x) is the temperature in °c and x is the month. x = 0 corresponds to january.what is the average daily maximum temperature in may? round to the nearest tenth of a degree if needed.use 3.14 for π .

Step-by-step explanation:19.84...

The average daily maximum temperature for laura’s

rockstargirl9245

09.03.2022

Average daily maximum temperature of May is 15.7° C

Step-by-step explanation:

The average daily maximum temperature for Laura's hometown can be modeled by the function f(x) = $4.5sin(\frac{\pi x}{6})+11.8$

Where x is the number of month.

We have to calculate the average daily maximum temperature in May.

Since x is the number of month so we will put x = 4 in the given function.

f(4) = $4.5sin(\frac{4\pi }{6})+11.8$

f(4) = $4.5sin(\frac{2\pi }{3})+11.8$

f(4) = $4.5sin(\frac{360}{3})+11.8$ [since 2π = 360°]

f(4) = 4.5sin(120)+11.8

f(4) = 4.5sin(180-60)+11.8

f(4) = 4.5sin(60°) + 11.8 [since sin(180-∅) = sin∅]

f(4) = $(4.5)(\frac{\sqrt{3}}{2})+11.8$

f(4) = 3.897 + 11.8 = 15.7° °C

The average daily maximum temperature of May is 15.7° C

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