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.
Sin C= 3/5
Your answer would be A
Step-by-step explanation:
By using Pythagoras theoram,
x²= (6)²+(4)²




optionD
Answer:
y > x - 5
and
y > -x + 1
Step-by-step explanation:
Since the solution goes above both the lines, we know that the inequalities must have a y > aspect. To get the next portion, simply find the equation of the lines. This would get you y > x - 5 and y > -x + 1.
Answer:
Coordinates of B are (-3,-2)
Step-by-step explanation:
AC in the horizontal direction is 14, so AB in the horizontal direction is 2/7 of 14 which is 4.
AC in the vertical direction is 7, so AB in the vertical direction is 2/7 of 7, which is 2.
To find the coordinates of B, you move right 4, and up 2 from A towards C.