Answer:
10680
Step-by-step explanation:
Answer:$193.20
Step-by-step explanation:
$1.61x£120=193.3
=$193.20
Answer:
The first two.
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
a
![w = 11.58 \ rad/minutes](https://tex.z-dn.net/?f=w%20%3D%20%2011.58%20%5C%20rad%2Fminutes)
b
![R_h = 111 \ revolution\ per \ hour](https://tex.z-dn.net/?f=R_h%20%20%3D%20%20111%20%5C%20revolution%5C%20per%20%20%5C%20%20hour)
Step-by-step explanation:
From the question we told that
The radius of the wheel is
The speed of the passenger is ![v = 5 \ miles /hr = \frac{26400}{3600} = 7.33 \ ft / s](https://tex.z-dn.net/?f=v%20%20%3D%20%205%20%5C%20%20miles%20%2Fhr%20%3D%20%5Cfrac%7B26400%7D%7B3600%7D%20%3D%207.33%20%5C%20ft%20%2F%20s)
Generally the angular speed is mathematically represented as
![w = \frac{v}{r}](https://tex.z-dn.net/?f=w%20%3D%20%20%5Cfrac%7Bv%7D%7Br%7D)
=> ![w = \frac{7.3}{ 38}](https://tex.z-dn.net/?f=w%20%3D%20%20%5Cfrac%7B7.3%7D%7B%2038%7D)
=> ![w = 0.193 \ rad/s](https://tex.z-dn.net/?f=w%20%3D%20%200.193%20%5C%20rad%2Fs)
now converting the seconds to minutes
![w = 0.193 *60](https://tex.z-dn.net/?f=w%20%3D%20%200.193%20%2A60)
![w = 11.58 \ rad/minutes](https://tex.z-dn.net/?f=w%20%3D%20%2011.58%20%5C%20rad%2Fminutes)
Generally number of revolutions the wheel makes per minutes is mathematically represented as
![R = \frac{11.58 }{2 \pi}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B11.58%20%7D%7B2%20%5Cpi%7D)
![R = 1.84 \ rpm](https://tex.z-dn.net/?f=R%20%3D%201.84%20%5C%20rpm)
Generally number of revolutions the wheel makes per hour is mathematically represented as
![R_h = R * 60](https://tex.z-dn.net/?f=R_h%20%20%3D%20%20%20R%20%2A%20%2060)
=> ![R_h = 1.84 * 60](https://tex.z-dn.net/?f=R_h%20%20%3D%20%201.84%20%2A%2060)
=> ![R_h = 111 \ revolution\ per \ hour](https://tex.z-dn.net/?f=R_h%20%20%3D%20%20111%20%5C%20revolution%5C%20per%20%20%5C%20%20hour)