# Trigonometry

posted by .

Using the same equation from problem 1, what is the average temperature in Atlanta, GA, for the month of June?

equation from #1 is
y = 18.25 sin(pi/6 t - 2.09) + 61.15
where t is the time in months and January is t = 1.

• Trigonometry -

Y = 18.25sin(t*pi/6 - 2.09) + 61.15.

Y = 18.25*sin(6*3.14/6 - 2.09) + 61.15,
Y = 18.25*sin(3.14 - 2.09) + 61.15,
Y = 18.25*sin(1.052) + 61.15,
Convert to degrees:
Y = 18.25*sin(60.28) + 61.15,

Y = 16 + 61.15 = 77.15deg in June.

## Similar Questions

1. ### physics

The consumption of natural gas by a company satisfies the empirical equation V=1.50t+0.008t^2, where V is the volume in millions of cubic feet and t the time in months. Express this equation in units of cubic feet and seconds. Put …
2. ### Math word gr 8

For the month of January, the average afternoon temperature in Calgard is 1/4 the average morning temperature. The average afternoon temperature is -4 C. What is the average morning temperature?

The average temperature, in °F, of City B is given by the equation:y=19.5sin(pi/6t-2.06)+62 , where t is the time in months and t = 1 corresponds to January. What is the average temperature in April?
4. ### Math/Trig

The average temperature, in °F, for Atlanta, GA is modeled by the sinusoidal function y = 18.25 sin(pi/6 t - 2.09) + 61.15 where t is the time in months and January is t = 1. What is the average temperature for the month of February?
5. ### Algebra

This is soooo confusing! An airplane flies from New Orleans, Louisiana, to Atlanta, Georgia, at an average rate of 320 miles per hour. The airplane then returns at an average rate of 280 miles per hour. The total travel time is 3 hours. …
6. ### Trigonometry

The average temperature, in °F, for Atlanta, GA is modeled by the sinusoidal function y = 18.25 sin(pi/6 t - 2.09) + 61.15 where t is the time in months and January is t=1. What is the average Temperature for the month of February?
7. ### Math, Trigonometry

daylight in Calgary, AB each month is show in the table below.?
8. ### calculus 1

the average temperature in Hartford can be expressed as t = f(m) where m is month (January = 1, etc.) and t is the average daily high temperature for the month in degrees F. 1) what is the meaning of f'(m)?
9. ### Trigonometry

Solve the equation for solutions in the interval 0<=theta<2pi Problem 1. 3cot^2-4csc=1 My attempt: 3(cos^2/sin^2)-4/sin=1 3(cos^2/sin^2) - 4sin/sin^2 = 1 3cos^2 -4sin =sin^2 3cos^2-(1-cos^2) =4sin 4cos^2 -1 =4sin Cos^2 - sin=1/4 …
10. ### Algebra 2 read plz

The average daily minimum temperature for Pablo’s hometown can be modeled by the function f(x)=15.3sin(πx6)+44.1 , where f(x) is the temperature in °F and x is the month. x = 0 corresponds to January. What is the average daily …

More Similar Questions