Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :

Also,

Where
is the angular speed
So,

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m = (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
Answer:
The answer is 8°
Step-by-step explanation:
2x + 62° = 5x + 38°
2x – 2x + 62° – 38° = 5x – 2x + 38° – 38°
24° = 3x
3x = 24°
3x/3 = 24°/3
x = 8°
Thus, The value of x is 8°
<u>-TheUnknownScientist 72</u>