Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Answer:
32 pizzas
60 pizzas
1/24
Step-by-step explanation:
Se hicieron 8 docenas de pizzas.
Una docena es 12, por lo tanto, el número de pizzas hechas fue:
8 * 12 = 96 pizzas
1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:
1/3 * 96 = 32 pizzas
5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:
5/8 * 96 = 60 pizzas
El número total de pizzas vendidas es:
32 + 60 = 92 pizzas
Esto significa que no se vendieron 4 pizzas. En forma de fracción:
4/96 = 1/24
Answer:
Rolling case achieves greater height than sliding case
Step-by-step explanation:
For sliding ball:
- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.
- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.
- The ball slides it only has translational kinetic energy as follows:
ΔK.E = ΔP.E
0.5*m*v^2 = m*g*h
h = 0.5v^2 / g
For rolling ball:
- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:
ΔK.E = ΔP.E
0.5*m*v^2 + 0.5*I*w^2 = m*g*h
- Where I: moment of inertia of spherical ball = 2/5 *m*r^2
w: Angular speed = v / r
0.5*m*v^2 + 0.2*m*v^2 = m*g*h
0.7v^2 = g*h
h = 0.7v^2 / g
- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.
Answer:
Step-by-step explanation:
1. add the side lengths
