Step-by-step explanation:
Decimals are great for when you are dealing with money and want to round up, and fractions are used when baking (such as need 1/4 or a half cup of something)
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:
No
Step-by-step explanation:
Two consecutive sides means that the two sides are connected in a shape by a vertex. If the sides were parallel, they would have to be right on top of each other, so two consecutive sides cannot be parallel.
Answer:
Step-by-step explanation:
The equations that she wrote are
6x+8y=133
2x=y
The following statements about the system are true
1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
The following statements are wrong because,
2. Because there was no relationship between the number of pipes sold and the size of each pipe.
3. x=2y shows that there are more 8 inches pipes
4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost