Answer:
The distance covered is 113.75 m
Step-by-step explanation:
As per the question:
The initial velocity of the train, v = 20 m/s
The final velocity of the train, v' = 6 m/s
Uniform deceleration, a = 1.6![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
Or uniform acceleration, a = - 1.6![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
<em>Here, the body decelerates, i.e., slows down at a uniform rate thus we take acceleration with negative sign.</em>
Now, to find the distance covered, s:
Using the eqn of Kinemetics:
![v'^{2} = v^{2} + 2as](https://tex.z-dn.net/?f=v%27%5E%7B2%7D%20%3D%20v%5E%7B2%7D%20%2B%202as)
![6^{2} = 20^{2} + 2(- 1.6)s](https://tex.z-dn.net/?f=6%5E%7B2%7D%20%3D%2020%5E%7B2%7D%20%2B%202%28-%201.6%29s)
![36 - 400 = - 3.6s](https://tex.z-dn.net/?f=36%20-%20400%20%3D%20-%203.6s)
![s = \frac{- 364}{- 3.6} = 113.75\ m](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B-%20364%7D%7B-%203.6%7D%20%3D%20113.75%5C%20m)
Answer:
New area is 1/9th the original area
Step-by-step explanation:
Original area = L x W
now reduce the side lengths
1/3 L x 1/3 W
1/3 * 1/3 * L x W
1/9 L x W <===== the new area is 1/9th the original area
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.
Answer:
-81
Step-by-step explanation:
replace the numbers you were given in a or b.
so
6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12
12 goes into 68 5 times, so put 5 on the top, and subtract 600 from 688. You will get 88 as your difference. 12 goes into 88 7 times, and since 12 times 7 is 84, put 84 under 88 and subtract it from 88. Your remainder will be 4.
Hope this helps!
(I have an example below)