Answer:
Therefore the area of the rectangle is
![525in^{2}](https://tex.z-dn.net/?f=525in%5E%7B2%7D%20)
The graph of the Evan's data is attached below.
Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 a.m., the temperature was 58° F. For the next 3 hours, the temperature rose 1° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. The data points are in the form of time and temperature. The data points are 6 AM = 58, 7 AM = 59, 8 AM = 60, 9 AM = 61, 10 AM = 63, 11 AM = 65, 12 PM = 67, 1 PM = 69, 6 PM = 69, 7 PM = 67, 8 PM = 65, 9 PM = 63, and 12 AM = 62.
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Answer:
8 degree
Step-by-step explanation:
a triangle is 180 degree
152+20=172
180-172=8 degrees
Given Information:
Volume of candle = V = 75 in³
Height of candle = h = 6 in
Required Information:
Radius of candle = r = ?
Answer:
Radius of candle = r = 2 in
Step-by-step explanation:
Recall that the volume of a cylindrical shape is given by
![V = \pi \times r^{2} \times h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%20r%5E%7B2%7D%20%5Ctimes%20h)
Where V is the volume, r is the radius and h is the height
Re-arrange the above equation for radius
![r^{2} = \frac{V}{\pi \times h} \\\\r = \sqrt{\frac{V}{\pi \times h}}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20%3D%20%5Cfrac%7BV%7D%7B%5Cpi%20%5Ctimes%20h%7D%20%5C%5C%5C%5Cr%20%3D%20%5Csqrt%7B%5Cfrac%7BV%7D%7B%5Cpi%20%5Ctimes%20h%7D%7D)
Now substitute the given values into the above equation
![r = \sqrt{\frac{75}{\pi \times 6}}\\\\r = 1.99 \: in](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B75%7D%7B%5Cpi%20%5Ctimes%206%7D%7D%5C%5C%5C%5Cr%20%3D%201.99%20%5C%3A%20in)
Rounding to the nearest inch
![r = 2 \: in](https://tex.z-dn.net/?f=r%20%3D%202%20%5C%3A%20in)
Therefore, the radius of this candle is 2 inches.