Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as

Whereas the area of a circle for a radius r is given as

Now the ratio is given as

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
The DJs unit rate is 5 songs for every 1 commercial.
I found this by dividing both the commercials and the songs by their greatest common factor, or 2.
Answer:
110 = 12
110 + 110 + 110 + 110 = 440
so 110 × 4 = 440
4 × 12 =<em><u> 48 days</u></em>
hope this helps