Answer:
The function for the outside temperature is represented by ![T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%2085%5C%C2%BA%20%2B%2015%5C%C2%BA%20%5Ccdot%20%5Csin%20%5Cleft%5B%5Cfrac%7Bt-6%5C%2Ch%7D%7B24%5C%2Ch%7D%20%5Cright%5D)
, where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
![T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]](https://tex.z-dn.net/?f=T%28t%29%20%3D%20%5Cbar%20T%20%2B%20A%20%5Ccdot%20%5Csin%20%5Cleft%5B2%5Cpi%5Ccdot%5Cfrac%7Bt-6%5C%2Ch%7D%7B%5Ctau%7D%20%5Cright%5D)
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If , and 
, the resulting function for the outside temperature is:
-10 is less than -5 because negative numbers are farther from 0. Same applies to -4 and -20.
The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
let the base of the triangle be x
Height of the triangle = x - 4
Area of triangle = 1/2 × base × height
Area = 1/2 × x × (x-4)
Area = 1/2 (x² - 4x)
Area = 1/2 x² - 2 x
We can also write it as a function:
y = 1/2 x² - 2 x
Domain = (3 , ∞)
Range = [0, ∞)
Since 3 is not included in the domain, base of the triangle cannot be 3 cm.
Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.
Learn more about function here:
brainly.com/question/2456547
#SPJ9
D) horizontal stretch
hope it helps
Answer:
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Step-by-step explanation:
harder daddy harder
