In solving the volume of a square pyramid the following formula is to be used:
V = a² h/3
where;
a = base edge
h = height
Thus, the V ≈ 2.53 × 10⁵. Computed in another way:
V = (54)² × (260/3)
= 2916 × 86.67
= 252,729.72
≈ 2.53 × 10⁵
Dived 25 and 1000 by 5 to get 1/40 add the 6 so its 6 and 1/40
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)
Answer:
1. Write the two equations in the style [variable = other terms] either variable x or y.
2. Equalize the two equations
3. Solve for the other variable and then for the first variable.
hope this helps :) plz brainliest uwu
Step-by-step explanation:
x=-7
put them next to each other and solve.