Answer:
See explanation
Step-by-step explanation:
1. Find the GCF of 40 and 44:
So,
2. Find the GCF of 13 and 52:
So,
3. Find the GCF of 15 and 81:
So,
4. Find the GCF of 64 and 28:
So,
Answer:
Step-by-step explanation:
a = 35 feet
b = 54 feet
h = 28 feet
![Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B%5Ba%2Bb%5D%2Ah%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B%5B35%2B54%5D%2A28%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B89%2A28%7D%7B2%7D%5C%5C%5C%5C%3D89%2A14%5C%5C%5C%5C)
= 1246 square feet
Answer: 166.32
Step-by-step explanation: multiply 18 by 9 first. (162) then multiply the decimal numbers. Then at that to the previous product.
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 is 20 by plugging the 4 in the equation it equals 20
