Luke and Inga are riding the Prince Charming Carousel at Disney World. Luke is on a horse 14 feet from the center. Inga is on a horse 11 feet from the center. Prince Charming has the carousel spinning at 40 revolutions per minute. What is Luke's angular speed (in radians/second)?
What is Inga's angular speed? (in radians/second)?

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊