Prem and Peter are playing in the play park. Prem decided to ride on a merry- go-round spinning counterclockwise at a constant speed. Peter chose to watch Prem at 7 feet from the merry-go-round. If the radius of the merry-go-round is 6 feet, and Prem travels from point A to point B (see figure to the right) in 1.5 seconds, a. How long does it take for the merry-go-round to complete one revolution? It takes the merry-go-round 120 3 feet 6 feet 7 feet seconds to complete one revolution. How far did Prem travel along the circumference of the merry-go-round between point A and point B Give your answer in exact form. b. Prem traveled feet between point A and point B. By how many radians does the merry-go-round rotate in 4 seconds? Give your answer in exact form. radians in 4 seconds. с. The merry-go-round rotates

Q: uraph each equation: 14.) y- 2 = -3(x + 1)

A: We will graph the equation as following.

Q: ind the missing coordinate to complete the ordered pair (? ,12) with this equation. 8x + 3/4y = 14…

A:

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

A: Let Vab be the velocity of ship a relative to b. Vas is the velocity of ship a relative to sea. Vbs…

Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

A: Given that At noon, ship A is 50 nautical miles due west of ship B Ship A is sailing west at 23…

Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Graph the equation 3x - 4y = 8 on the xy-plane

A:

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Convert r= 3 sec e to its equivalent Cartesian equation.

A:

Q: Determine the equation of the axis of symmetry, y = x2 - 4x - 12

A: If the Equation of a parabola is given by , then it's axis of symmetry is given by

Q: Consider the equation and the following ordered pairs: (4,y) and (x,1). y=-2x-1

A: Given: equation is y=-2x-1 Ordered pairs are (4,y) and (x,1) We have to find the values of x and y…

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: A chicken coop has been built 30 yards south of a farmhouse and is enclosed by a circular fence.…

A: We have to find the equation of the circular fence.