Answer:
The scale factor is 3
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z -----> the scale factor
x -----> area of polygon Q
y ----> area of polygon P
so
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![y=5\ units^2](https://tex.z-dn.net/?f=y%3D5%5C%20units%5E2)
<em>Find the area of polygon Q</em>
Divide the polygon Q into five squares
see the attached figure N 2
The area of polygon Q (area of the five squares) is
![x=5(3^2)=45\ units^2](https://tex.z-dn.net/?f=x%3D5%283%5E2%29%3D45%5C%20units%5E2)
<em>Find the scale factor</em>
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=45\ units^2](https://tex.z-dn.net/?f=x%3D45%5C%20units%5E2)
![y=5\ units^2](https://tex.z-dn.net/?f=y%3D5%5C%20units%5E2)
substitute
![z^{2}=\frac{45}{5}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7B45%7D%7B5%7D)
![z^{2}=9](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D9)
square root both sides
![z=3](https://tex.z-dn.net/?f=z%3D3)
therefore
The scale factor is 3
We evaluate the probability like this:
![0.9^4\times0.1^2](https://tex.z-dn.net/?f=0.9%5E4%5Ctimes0.1%5E2)
the above value is a theoretical estimation, you have
to get the above value in your simulation, which equate:
Answer:
10
Step-by-step explanation:
The answer is A because anything less than a negative will be just a even bigger negative
Answer:
294
Step-by-step explanation:
Scale factor is 3.5 (If you go from the smaller image to the bigger image).
7 x 3.5 = 24.5 feet
since the question is asking you for the answer in inches you have to multiply 24.5 by 12 which gives you 294