Answer:
7.5 = OM
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite side / hypotenuse
sin 30 = OM / UN
sin 30 = OM / 15
15 sin 30 = OM
7.5 = OM
Incomplete question need to put options in order for response
Answer:
27 minutes
Step-by-step explanation:
Given that:
It takes 16 minutes for 9 people to paint 8 walls.
i.e
16 minutes ------------ 9 people ---------- 8 walls
How many minutes does it take 4 people to paint 6 walls?
let the number of minutes be (m). NOW;
(m) minutes ------------ 4 people ------------ 6 walls
If it takes 16 minutes for 9 people to paint 8 walls.
∴ For 1 person to paint 8 walls; it will take 16 minutes × 9 = 144 minutes
So, to determine the number of minutes it will take 1 person to paint 6 walls; we have;
6 walls = ![\frac{8 walls}{144 minutes}*m](https://tex.z-dn.net/?f=%5Cfrac%7B8%20walls%7D%7B144%20minutes%7D%2Am)
6 walls × 144 minutes = 8 walls × (m)
(m) = ![\frac{144 minutes * 6 walls}{8 walls}](https://tex.z-dn.net/?f=%5Cfrac%7B144%20minutes%20%2A%206%20walls%7D%7B8%20walls%7D)
m = 108 minutes
So, it will take 108 minutes for one person to paint 6 walls.
For 4 people now; we have
m =![\frac{108}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B108%7D%7B4%7D)
m= 27 minutes
∴ it will take 27 minutes for 4 people to paint 6 walls