<span>Answer:
K = (1/2) mv² + (1/2) Iω², where m is the ball mass, I is the ball's moment of inertia (2/5)mr², and ω is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=ωr, or r=v/ω. Then,
K = (1/2)mv² + (1/2)(2/5)mr²ω²
= (1/2)mv² + (1/5)mv²
= (7/10)mv²
Setting potential at the top equal to kinetic at the bottom,
mgh=(7/10)mv²
v=âš{(10/7)(gh)}
= [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s</span>
The greatest common factor of 18 and 36 is 18.
So, 18 goes into 18 once, and 18 goes into 36 twice.
1/2 is the fraction in simplest form.
Answer:
19,167
Step-by-step explanation:
Laura purchased a new vehicle for 27,382
She made a down payment of 30%
27,382×30/100
= 27,382×0.3
= 8,214.6
27382-8214.6
= 19,167
Hence Laura financed 19,167
Answer:
76%
Step-by-step explanation:
First do 700 - 168 which is 532
Next we see that 700 is 100% in this scenario
Then we will use the value we seek as ‘x’
So, x% = 532
We can put the two equations, 100%/x% = 700/532
they both have LHS
We can take the inverse from both sides yields
Therefore, the answer is 76%
Step one: multiply and divide in order.
Step two: add and subtract like terms.
Step three: get X alone on one side (what you do to one side you have To do to the other side)
Step four: simplify and solve :)
