The daily low temperature in Guangzhou, China Varies over time in a periodic way that can be modeled by a trigonometric function. The period of change is exactly one year. the temperature peaks around July 26 at 78°F and has its minimum half a year later at 49°F. assuming a year is exactly 365 days July 26 is 206/365 of a year after January 1. Find the formula of the trigonometric function that models the daily low temperature T in Guangzhou t years after January 1, 2015 defined the function using radians

  T(t) = 14.5cos(2π(t -206/365)) +63.5

Step-by-step explanation:

The function can be written as ...

  T = A·cos(2π(t -206/365)) +B

where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.

  A = (78-49)/2 = 29/2 = 14.5

  B = (78 +49)/2 = 127/2 = 63.5

The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.

Filling in these values gives us the function ...

  T(t) = 14.5cos(2π(t -206/365)) +63.5

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17