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.
Answer:
Step-by-step explanation:
1. So there is two bread options but let's ignore that due every option being the same for both bread options.
2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.
3. So with a one in three chance logical meat option and a one two chance cheese option and.
4. Now knowing this it is simple math at this point as simple as 
x 
5. 1 x 1 = 1 and 3 x 2 = 6
6. leading to 
This makes sense to me: m=(y-6)/3
m is the number of muffins each friend gets, y is the original quantity of muffins, -6 is = to the number of muffins you freeze, and the /3 is to split the remaining (unfrozen) muffins equally.
Answer:
$36
Step-by-step explanation:
20x.80=16
20+16=36
Hence, the original price is $36
Answer:
laps can Fred run in one hour.
Step-by-step explanation:
Given Statement: Fred is running on the school track. He can run 
laps in 
of an hour.
Unit rate are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates
From the given condition we have;
In he can run 
laps
Unit rate per hour = 
=
laps
Therefore, Fred can run in one hour is, laps.
