Answer:
60degrees
Step-by-step explanation:
For similar triangles, the angles of their angles are equal to matter the size.
Hence if triangle TRS is similar to triangle TMN, then;
<R = <M and <S = <N
Given that;
<T = 40 degrees
<R = 60degrees
<S = 80 degrees
Since <R = <M, then <M = 60degrees
x 55
-------- = ---------
69.50 100
69.50*55= 3822.5
3822.5/100= 38.225
x=$38.22
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.