Answer:
Since all triangle angles add up to 180°, you can set all the angles equal to 180.
(96 + 2x + (x + 12)) = 180
You can now simplify it together
108 + 3x = 180
Now you can isolate x by itself
180 - 108 = 72
72 / 3 = 24
x = 24
They would each get 1/4 of a pound (3 divided by 12)
North component: y = 15.0m * sin55.0º = 12.3 m west component: x = 15.0m * cos55.0º + 7.00m = 15.6 m so his heading, measured from West, is Θ = arctan(y/x) = arctan0.787 = 38.2º N of West and measured from North is φ = arctan(x/y) = arctan(1.27) = 51.8º W of North
25% 0ut of 27 should be 6.75, as let's say 27 =100%
So to get 25% we have to divide 100 by 25, to which the answer =4.
Same we have to do to 27- divide it by 4 to get the answer.
I hope it's right.
<u>Answer-</u>
<em>After 76 swings</em><em> the angle through which it swings less than 1°</em>
<u>Solution-</u>
From the question,
Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.
So the angle of the second swing =
Then the angle of third swing =
So, this follows a Geometric Progression.
a = The initial term = 30
r = Common ratio =
As we have to find the number swings when the angle swept by the pendulum is less than 1°.
So we have the nth number is the series as 1, applying the formula
Putting the values,
Taking logarithm of both sides,
Therefore, after 76 swings the angle through which it swings less than 1°