<h3>
Answer: C) 2/11</h3>
Explanation:
We know that whoever is selected, they are male. So we only focus on the "male" row. There are 4 males who like talking on the phone out of 22 males total. Divide the two values and reduce as much as possible.
4/22 = (2*2)/(2*11) = 2/11
Note a pair of '2's cancel.
Answer:
PR = 17 cm
Step-by-step explanation:
Given :
In ΔPQR,
PQ = 39 cm
PN is an altitude.
QN = 36 cm
RN = 8 cm.
To Find : Length of PR
Solution :
Since we are given that PN is an altitude .
So, PN divides ΔPQR in two right angled triangles named as ΔPQN and ΔPRN. (Refer attached file)
So, first we find Length of PN in ΔPQN using Pythagoras theorem i.e.
![(Hypotenuse)^{2}=(Perpendicular)^{2} +(Base)^{2}](https://tex.z-dn.net/?f=%28Hypotenuse%29%5E%7B2%7D%3D%28Perpendicular%29%5E%7B2%7D%20%2B%28Base%29%5E%7B2%7D)
![(PQ)^{2}=(PN)^{2} +(QN)^{2}](https://tex.z-dn.net/?f=%28PQ%29%5E%7B2%7D%3D%28PN%29%5E%7B2%7D%20%2B%28QN%29%5E%7B2%7D)
![(39)^{2}=(PN)^{2} +(36)^{2}](https://tex.z-dn.net/?f=%2839%29%5E%7B2%7D%3D%28PN%29%5E%7B2%7D%20%2B%2836%29%5E%7B2%7D)
![1521=(PN)^{2} +1296](https://tex.z-dn.net/?f=1521%3D%28PN%29%5E%7B2%7D%20%2B1296)
![1521 -1296=(PN)^{2}](https://tex.z-dn.net/?f=1521%20-1296%3D%28PN%29%5E%7B2%7D%20)
![225=(PN)^{2}](https://tex.z-dn.net/?f=225%3D%28PN%29%5E%7B2%7D%20)
![\sqrt{225} = PN](https://tex.z-dn.net/?f=%5Csqrt%7B225%7D%20%3D%20PN)
![15 = PN](https://tex.z-dn.net/?f=15%20%3D%20PN)
Thus, Length of PN = 15cm
Now to find length of PR we will use Pythagoras theorem in ΔPRN.
![(PR)^{2}=(PN)^{2} +(NR)^{2}](https://tex.z-dn.net/?f=%28PR%29%5E%7B2%7D%3D%28PN%29%5E%7B2%7D%20%2B%28NR%29%5E%7B2%7D)
![(PR)^{2}=(15)^{2} +(8)^{2}](https://tex.z-dn.net/?f=%28PR%29%5E%7B2%7D%3D%2815%29%5E%7B2%7D%20%2B%288%29%5E%7B2%7D)
![(PR)^{2}=225 +64](https://tex.z-dn.net/?f=%28PR%29%5E%7B2%7D%3D225%20%2B64)
![(PR)^{2}=289](https://tex.z-dn.net/?f=%28PR%29%5E%7B2%7D%3D289)
![PR= \sqrt{289}](https://tex.z-dn.net/?f=%20PR%3D%20%5Csqrt%7B289%7D%20)
![PR= 17](https://tex.z-dn.net/?f=%20PR%3D%2017%20)
Hence the length of PR = 17 cm
Step-by-step explanation:
1 3/7 is your answer
hope it helps
The cities are 14.7 inches apart on the map.
An inch on the map is 10 miles on the ground. That is what a scale of 1 in : 10 miles means.
If a distance is 147 miles on the ground therefore, on the map it will be:
= Distance on map / conversion factor
= 147 / 10
= 14.7 inches
The distance between the two cities on the map is 14.7 inches.
<em>Find out more at brainly.com/question/1587107.</em>