Answer:
Option 3.
Step-by-step explanation:
A parallelogram is said to be a rectangle if
1. Opposite pair of lines are equal and parallel
2. Adjacent lines meet each other at 90 degrees.
Hence we have third option which satisfies both the conditions.
You use decimals, here is an example.
51=25.5/.5
Answer:
Surface Area - 122
Step-by-step explanation:
Answer:
![\Delta d =\frac{y-x}{y}*d_{Hs}\](https://tex.z-dn.net/?f=%5CDelta%20d%20%3D%5Cfrac%7By-x%7D%7By%7D%2Ad_%7BHs%7D%5C)
Step-by-step explanation:
Fist the velocity of high-speed train will be given by:
![V_{Hs} =\frac{z}{x}](https://tex.z-dn.net/?f=V_%7BHs%7D%20%3D%5Cfrac%7Bz%7D%7Bx%7D)
And the velocity of the regular will be given by:
![V_{R} =\frac{z}{y}](https://tex.z-dn.net/?f=V_%7BR%7D%20%3D%5Cfrac%7Bz%7D%7By%7D)
The position equations of each movement will be given by:
![d_{Hs} =\frac{z}{x} t](https://tex.z-dn.net/?f=d_%7BHs%7D%20%3D%5Cfrac%7Bz%7D%7Bx%7D%20t)
![d_{R} =z-\frac{z}{y} t](https://tex.z-dn.net/?f=d_%7BR%7D%20%3Dz-%5Cfrac%7Bz%7D%7By%7D%20t)
We can get the encounter point isolating t in the first equation and reepalcing it in the second one:
First isolating:
![d_{Hs}\frac{x}{z} = t](https://tex.z-dn.net/?f=d_%7BHs%7D%5Cfrac%7Bx%7D%7Bz%7D%20%3D%20t)
Second reeplacing t:
![d_{R} =z-\frac{z}{y}*d_{Hs}\frac{x}{z}](https://tex.z-dn.net/?f=d_%7BR%7D%20%3Dz-%5Cfrac%7Bz%7D%7By%7D%2Ad_%7BHs%7D%5Cfrac%7Bx%7D%7Bz%7D)
![d_{R}=z-\frac{x}{y}*d_{Hs}\](https://tex.z-dn.net/?f=d_%7BR%7D%3Dz-%5Cfrac%7Bx%7D%7By%7D%2Ad_%7BHs%7D%5C)
In the moment of the encounter the high-speed train have gone round
and the regular one ![\frac{x}{y}*d_{Hs}\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%2Ad_%7BHs%7D%5C)
Then the difference between the distance traveled the high-speed train and the regular one is:
![\Delta d =d_{Hs}-\frac{x}{y}*d_{Hs}\](https://tex.z-dn.net/?f=%5CDelta%20d%20%3Dd_%7BHs%7D-%5Cfrac%7Bx%7D%7By%7D%2Ad_%7BHs%7D%5C)
![\Delta d =\frac{y-x}{y}*d_{Hs}\](https://tex.z-dn.net/?f=%5CDelta%20d%20%3D%5Cfrac%7By-x%7D%7By%7D%2Ad_%7BHs%7D%5C)