<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).
Answer:
12 30
Step-by-step explanation:
Answer:
it is number 3 (-1/5)
Step-by-step explanation:
Answer:
x = 52 i hope this helps! :)
Step-by-step explanation:
so first you gotta realize that every triangle has an interior angle measurement sum of 180 degrees
so we are given 3 angles 74 degrees x + 2 and x
we now are going to put this into an equation 74 + x + 2 + x = 180
now lets combine like terms to get 76 + 2x = 180
then we are going to subtract the 76 from both sides 2x = 104
now lets divide both sides by 2 x = 52
so x = 52
we can plug in the value of x into both of the other equations to find the angle measurement
52 degrees
52 + 2 = 54 degrees
and then we have 74 degrees
add the 52, 54, and the 74 to make sure it is equal to 180 degrees
106 + 74 = 180
so yes, x does indeed equal 52 degrees
Answer:
Step-by-step explanation:
Let
x = cost for one adult
y = cost for one child
z = cost for one senior.
<u>The Reid family:</u>
take 2 adults and 2 children and paid 
that is 
, so
<u>The Mghee family:</u>
take 1 senior, 2 adults and 1 child and paid 
that is 
, so
<u>The Griffiths family:</u>
take 1 senior and 3 adults and paid 
that is 
, so
You get the system of three equations:
From the first equation:
From the third equation:
Substitute them into the second equation:
Then
Hence,
the cost for one adult is 
the cost for one child is 
the cost for one senior is 
<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid
