<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
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Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
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Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).
see if this helps
definitions
congruent
1.in agreement or harmony
"institutional and departmental objectives are largely congruent"
2. identical in form; coinciding exactly when superimposed.
Given:
The sequence formula;
Tn = 4.5n - 8 (Where n = term number)
Required:
15th term = ?
Procedure:
All you need to do is use n = 15
T15 = 4.5(15) - 8
T15 = 59.5
Conclusion:
The 15th term of the sequence is 59.5.
Noah is correct!!!! 20/45 simplified is 4/9. hope this helps!
