At the end of Round 3, David's score would be 2000.
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.
So this is going to be an exponential equation, which the format is

, in which a is the initial value and b is the growth/decay rate.
In this case, a is going to be 340,000 and b is going to be 107%, or 1.07, since the population is going to be increasing by 7% and the equation is now

.
Now replace x with 12 and solve.

Solve

, and then if you don't round that answer and multiply it with 340000 you get

.
Answer:
CPCTC - Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation:
When two triangles are congruent, this means they have the same shape and the same size. To have the same shape, each angle must be congruent. To have the same size, each side length must be congruent. When you know two triangles are congruent you can say each corresponding part of congruent triangles is congruent. This is known as CPCTC.
Answer:
A = 40.0 (3 sig. fig)
C = 40
c = 15
Step-by-step explanation:
Using sin law,
sinA/15 = sin100/23
A = 40.0 (3 sig. fig)
Using angle sum of triange,
C = 180 - 40.0 - 100 = 40
Since angleA = angleC, by side equal opp angles, c = 15