Answer:28.73
Step-by-step explanation:
80.64 divided by 3.6 equals 22.4
Eighties 5092 that's what I think it is but ok
Answer:
The scale factor is 0.25
Step-by-step explanation:
we know that
The dilation is a non-rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
ABCD and A'B'C'D' are similar
therefore
![\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{A'D'}{AD}](https://tex.z-dn.net/?f=%5Cfrac%7BA%27B%27%7D%7BAB%7D%3D%5Cfrac%7BB%27C%27%7D%7BBC%7D%3D%5Cfrac%7BC%27D%27%7D%7BCD%7D%3D%5Cfrac%7BA%27D%27%7D%7BAD%7D)
Find the scale factor
Looking at the graph
we have
![A'B'=1\ unit\\AB=4\ units](https://tex.z-dn.net/?f=A%27B%27%3D1%5C%20unit%5C%5CAB%3D4%5C%20units)
Let
z ---> the scale factor
![z=\frac{A'B'}{AB}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BA%27B%27%7D%7BAB%7D)
substitute the values
![z=\frac{1'}{4}=0.25](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%27%7D%7B4%7D%3D0.25)
<u>Answer-</u>
The speed of wind is 13 mph
<u>Solution-</u>
We know that,
![Speed =\frac{Distance}{time}](https://tex.z-dn.net/?f=Speed%20%3D%5Cfrac%7BDistance%7D%7Btime%7D)
⇒ ![Time=\frac{Distance}{Speed}](https://tex.z-dn.net/?f=Time%3D%5Cfrac%7BDistance%7D%7BSpeed%7D)
Let's assume, W = speed of wind
39 + W = speed with the wind
39 - W = speed against the wind
Time taken by him to travel with the wind ![=\frac{26}{39+W}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B26%7D%7B39%2BW%7D)
Time taken by him to travel against the wind ![=\frac{13}{39-W}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B13%7D%7B39-W%7D)
∴ As he takes same time for both the cases
⇒ ![\frac{26}{39+W} = \frac{13}{39-W}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B39%2BW%7D%20%3D%20%5Cfrac%7B13%7D%7B39-W%7D)
⇒ 78 - 2W = 39 + W
⇒ 3W = 39
⇒ W = 13 mph