Answer:278
Step-by-step explanation:cbf=82
total sum of everything is meant to be 360 so 360 -82=278
288m^3 is what I got, hope it helps!
A.
Circumference = π * diameter or
π * 2*radius (diameter = 2 * radius).
So you would divide by π to get the diameter, then divide by 2 to get the radius. So A.
Answer:
565.49 cm2
Step-by-step explanation:
The area of a circle is given by:
Area = pi * r^2
And the whole area represents a central angle of 2pi.
Then, to find the area of this sector, we just need to use a rule of three:
area of pi * r^2 -> central angle of 2pi
area of x -> central angle of 8pi/5
x * 2pi = pi * r^2 * 8pi/5
2x = r^2 * 8pi/5
x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2
Check the complete question attached.
We have the equation
![C= \frac{5}{9} (F-31)](https://tex.z-dn.net/?f=C%3D%20%5Cfrac%7B5%7D%7B9%7D%20%28F-31%29)
equation (1); solving for F we get:
![\frac{9}{5} C=F-31](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B5%7D%20C%3DF-31)
![F= \frac{9}{5} C+31](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20C%2B31)
![F= \frac{9}{5} (C+31)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%28C%2B31%29)
equation (2)
I. To check this we are going to use equation (1) to see what hapen when temperature rises from 32 Fahrenheit to 33 Fahrenheit:
For 32 Fahrenheit:
![C= \frac{5}{9} (32-31)](https://tex.z-dn.net/?f=C%3D%20%5Cfrac%7B5%7D%7B9%7D%20%2832-31%29)
![C= \frac{5}{9} (1)](https://tex.z-dn.net/?f=C%3D%20%5Cfrac%7B5%7D%7B9%7D%20%281%29)
For 33 Fahrenheit:
![C= \frac{5}{9} (33-31)](https://tex.z-dn.net/?f=C%3D%20%5Cfrac%7B5%7D%7B9%7D%20%2833-31%29)
![C= \frac{5}{9} (2)](https://tex.z-dn.net/?f=C%3D%20%5Cfrac%7B5%7D%7B9%7D%20%282%29)
Now we are going to subtract the two temperatures in degrees Celsius:
![\frac{10}{9} - \frac{5}{9} = \frac{5}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B9%7D%20-%20%5Cfrac%7B5%7D%7B9%7D%20%3D%20%5Cfrac%7B5%7D%7B9%7D%20)
As you can see, the temperature increased
![\frac{5}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B9%7D%20)
degree Celsius.
We can conclude that a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
![\frac{5}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B9%7D%20)
degree Celsius.
II. To check this one we are going to use equation (2) to see what happens when temperature raises from 1 degree Celsius to 2 degrees Celsius:
For 1 degree Celsius:
![F= \frac{9}{5} (C+31)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%28C%2B31%29)
![F= \frac{9}{5} (1+31)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%281%2B31%29)
![F= \frac{9}{5} (32)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%2832%29)
![F=57.6](https://tex.z-dn.net/?f=F%3D57.6)
For 2 degrees Celsius:
![F= \frac{9}{5} (C+31)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%28C%2B31%29)
![F= \frac{9}{5} (2+31)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%282%2B31%29)
![F= \frac{9}{5} (33)](https://tex.z-dn.net/?f=F%3D%20%5Cfrac%7B9%7D%7B5%7D%20%2833%29)
![F=59.4](https://tex.z-dn.net/?f=F%3D59.4)
Now we are going to subtract the two temperatures in Fahrenheit:
![59.4-57.6=1.8](https://tex.z-dn.net/?f=59.4-57.6%3D1.8)
As you can see, the temperature increased 1.8 Fahrenheit.
We can conclude that a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 Fahrenheit.
III. Since a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
![\frac{5}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B9%7D%20)
degree Celsius, we can conclude that this one is false.
The correct answer is D) I and II only