To find the length of the arc given the central angle, multiply (the fraction of the angle of the full circle, 360°, that the central angle, 120°, makes up)*(the total circumference of the circle). You're basically finding the fraction of the circumference that is covered by the central angle, if that makes any sense.
So the central angle makes up

the entire circle. You are given that the circumference of the circle is 18. Multiply the fraction of the full circle that the central angle makes up (

) by the circumference of the circle:
The length of your arc is 6.
Let me know if you're confused b/c my explanation isn't the greatest :) I'll try to explain it better if you don't understand.
The standard deviation from the mean of the data with a variance of 36 is: B. 6.
<h3>What is Standard Deviation?</h3>
Standard deviation can be described as the average of the distance each of the value lies from the mean of the data.
The standard deviation is the square root of the variance.
Variance of the data is given already as 36.
Standard deviation = √36 = 6.
The answer is B. 6.
Learn more about the standard deviation on:
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Answer:
Step-by-step explanation:
X^2-12x+36=0
X^2 - 8x - 4x + 36 = 0
(x^2 -8x) - (4x - 36) = 0
x(x - 8) - 4(x - 8) = 0
(x - 4)(x - 8) = 0
:- x - 4 = 0 or x - 8 = 0
x = 4 or x = 8
So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

Answer:
Any value of x
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Step-by-step explanation:
Given


Required
What value of x is 
Solving for f(g(x))


Solve the inner square



Solving g(f(x))





Equate f(g(x)) and g(f(x))


<em>This implies that </em>
<em> at any value of x</em>