<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

Finally, the exact value of the position of the rider after the carousel rotates
radians is:

Answer:
<em>d = 3</em>
Step-by-step explanation:
Coordinate Plane
The image provided shows the four points given:
A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).
It can be clearly seen the length of CD is just the difference of their x-coordinates:
CD = 7 - 4 = 3
We can also use the formula of the distance.
Given two points C(x,y) and D(w,z), the distance between them is:




d = 3
Answer: 10000
The correct answer is 10000.
Answer:Least common multiple (LCM) of 3 and 4 is 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor. Least Common Multiple of 3 and 4 with GCF Formula.
Step-by-step explanation: