Answer:
The measure of the central angle whose radii define the arc is ![\mathbf{\frac{4\pi }{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B4%5Cpi%20%7D%7B5%7D%20%7D)
Step-by-step explanation:
Radius of circle = 10 cm
Length of arc = ![8\pi](https://tex.z-dn.net/?f=8%5Cpi)
We need to find Theta ![\theta](https://tex.z-dn.net/?f=%5Ctheta)
The formula used will be: ![S=r \theta](https://tex.z-dn.net/?f=S%3Dr%20%5Ctheta)
S= length of arc, r = radius and
= angle
Putting values and finding \theta
![S=r \theta\\8\pi =10 \theta\\\theta=\frac{8\pi }{10} \\\theta=\frac{4\pi }{5}](https://tex.z-dn.net/?f=S%3Dr%20%5Ctheta%5C%5C8%5Cpi%20%3D10%20%5Ctheta%5C%5C%5Ctheta%3D%5Cfrac%7B8%5Cpi%20%7D%7B10%7D%20%5C%5C%5Ctheta%3D%5Cfrac%7B4%5Cpi%20%7D%7B5%7D)
So, the measure of the central angle whose radii define the arc is ![\mathbf{\frac{4\pi }{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B4%5Cpi%20%7D%7B5%7D%20%7D)
Answer:
x=12
Step-by-step explanation:
x/4+9=12
From there just solve the equation; x should come out to 12
HTH :)
<h3>
Answer:</h3>
0.86
<h3>
Step-by-step explanation:</h3>
The hundredths place is the second digit after the decimal point. It is the 6 in this case.
Since the next digit (3) is 4 or less, the hundredths place stays the same and the rest is basically just cut off, leaving 0.86.
If the next digit (3) were 5 or more, the hundredths place would have gone up 1 (to 7) and the rest would have been cut off, giving a final result of 0.87
![3x + 7 = 2x](https://tex.z-dn.net/?f=3x%20%2B%207%20%3D%202x)
subtract 2x from both sides
![x + 7 = 0](https://tex.z-dn.net/?f=x%20%2B%207%20%3D%200)
Subtract 7 from both sides
![x = - 7](https://tex.z-dn.net/?f=x%20%3D%20%20-%207)
x is -7
These are linear Y+4=2x
The x and y table with (0,-1)
The graph E
The x and y table with (-2,2.5)
I hope this helps and is correct