Cody ALONE = 8 hours
Kaitlyn ALONE = 6 hours
Let Joseph ALONE take j hours
Cody ALONE in 1 HOUR = 1/8 of the work Kaitlyn ALONE in 1 hour = 1/6 of the work Joseph ALONE in 1 HOUR = 1/j of the work
Since TOGETHER they take X hours, in 1 hour TOGETHER they complete 1 / X of the work
1/8 + 1/6 + 1/j = 1/X
1/j = 1/X - 1/8 - 1/6 = (24 - 3X - 4X ) /24X = (24 - 7X ) / 24X
j = 24X / ( 24- 7X )
After completing the work value of X will be known , calculate j from the above formula ANSWER
The linear speed of one of the cars is 7.75 feet per second
The cars (seats) of a Ferris wheel are positioned 74 feet from its center.
The radius, r = 74 feet
The Ferris wheel makes 4 revolutions every 4 minutes
Number of revolutions per minute = 1
Angular speed, w = 1 rev/min
Angular speed, w = 0.10472 rad/sec
The relationship between the linear speed (v), and the angular speed (w) is:
v = wr
Substitute w = 0.10472 and r = 74 feet into the formula:
v = 0.10472 x 74
v = 7.75 feet per second
The linear speed of one of the cars is 7.75 feet per second
Learn more on linear speed here: brainly.com/question/4357151
Check the picture below.
so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.
![\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20a%20circle%7D%7D%7BA%3D%5Cpi%20r%5E2%7D~~%20%5Cimplies%20A%3D%5Cpi%2011%5E2%5Cimplies%20A%3D121%5Cpi%20%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bone%20quarter%20of%20that%7D%7D%7B%5Cboxed%7BA%3D%5Ccfrac%7B121%5Cpi%20%7D%7B4%7D%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Cunderline%7B%5Ctextit%7Barea%20of%20the%20figure%7D%7D%7D%7B%5Cstackrel%7B%5Ctextit%7Brectangle%27s%20area%7D%7D%7B%282%5Ccdot%2020%29%7D%2B%5Cstackrel%7B%5Ctextit%7Bcircle%27s%20quart%27s%20area%7D%7D%7B%5Ccfrac%7B121%5Cpi%20%7D%7B4%7D%7D%5Cqquad%20%5Capprox%20%5Cqquad%20135.03%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B135%7D%7D)
Answer:
sorry I don't have the answer right now but ill let you know
