Exact form is 469/12 decimal form is 39.083 repeating and mixed number form is 39/1/12
It equals 2.5% so not even close to uh our desired amount
Answer:
(13) The third side is 14 cm
(13) The third side is 16.1 cm
Step-by-step explanation:
Given
(13) & (14)
Required
Solve
(13): Let length AB = x.
Using Pythagoras theorem.
![x^2 = 12^2 + 9^2](https://tex.z-dn.net/?f=x%5E2%20%3D%2012%5E2%20%2B%209%5E2)
![x^2 = 144 + 81](https://tex.z-dn.net/?f=x%5E2%20%3D%20144%20%2B%2081)
![x^2 = 225](https://tex.z-dn.net/?f=x%5E2%20%3D%20225)
Take positive square root of both sides
![x = \sqrt{225](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B225)
![x = 15](https://tex.z-dn.net/?f=x%20%3D%2015)
(14): Let length DE = x.
Using Pythagoras theorem.
![x^2 = 8^2 + 14^2](https://tex.z-dn.net/?f=x%5E2%20%3D%208%5E2%20%2B%2014%5E2)
![x^2 = 64 + 196](https://tex.z-dn.net/?f=x%5E2%20%3D%2064%20%2B%20196)
![x^2 = 260](https://tex.z-dn.net/?f=x%5E2%20%3D%20260)
Take positive square root of both sides
![x = \sqrt{260](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B260)
---approximated
Answer: ![\frac{n-m}{n}](https://tex.z-dn.net/?f=%5Cfrac%7Bn-m%7D%7Bn%7D)
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
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Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps
![1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn%7D%7Bn%7D%20-%20%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Cfrac%7Bn-m%7D%7Bn%7D%5C%5C%5C%5C)
and now the expression is one single fraction.
Answer:
Distributive is the correct answer.