1/3 is the correct answer simplified
Answer:
Area: 16π-32
Perimeter: 4π + 8sqrt(2)
Step-by-step explanation:
Area:
The shaded part plus the right triangle BCD makes a quarter circle, so you can find the area of the quarter circle minus the triangle.
For the quarter circle, the radius is 8, so the entire circle area is 64π, making the quarter circle 16π.
The triangle is 8*8/2 = 32.
So, the quarter circle minus the triangle, or the area, is 16π-32.
Perimeter:
Again, this is a quarter circle. So, you can add the lengths of arc BD and the line segment BD.
The radius is 8, so the entire circumference is 16π, making the quarter circle 4π.
The hypotenuse of the right triangle will be sqrt(8*8+8*8), or 8sqrt(2).
Add and get 4π + 8sqrt(2) as your perimeter.
Answer: 999 games
Step-by-step explanation:
There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.
We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.
The sum of the figures in the third column is 999.
We could also use the formula for rooted trees to calculate the number of games that would be played.
where i is the number of "internal nodes," which represents the number of games played for an "<em>m</em>-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.
The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by
Answer:
193.8125
Step-by-step explanation:
1. whole
2.13.75
3. whole
I hope im right
and i hope i was usefull.