Answer:
The equation of the displacement
as a function of time
is :

Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple
or
terms.
Thus,

is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time
</em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 

- The natural frequency (
) and time period (
) is :

∴
=

∴
the equation :
<em>⇒
</em> ------1
since
when
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction ,
must be negative or c must be an odd multiple of
.</u>
<em>⇒
------3</em>
where k is also an integer ;
the least value of
;
thus ,
the equation is :

<em></em>
Answer:
Sixty-eight percent is likely an overestimate for the percentage of parents interested in the trip.
Step-by-step explanation:
Answer:
Angle CAD is 44 degrees
Angle ACD is 44 degrees
Angle ACB is 136 degrees
Angle ABC is 22 degrees
Explanation:
29. Triangle ADC is an isosceles triangle because it has two equal sides.
If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.
Let x be angle CAD.
Let's go ahead x;

Therefore, measure of angle CAD is 44 degrees.
30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)
31. Let angle ACB be y,
Let's go ahead and find measure of angle ACB;

So measure of angle ACB is 136 degrees.
32. Let angle ABC be z.
Triangle ACB is also an isosceles triangle so the base angles are the same.
Let's go ahead and find z;

So measure of angle ABC is 22 degrees.
All triangles equal 180 so the answer would be set up as follows:
180-60-90 (right triangle) = 30 degrees
30 degrees is the answer
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