In the 
plane, we have 
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the 
plane, we have 
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the 
plane, 
, so
which is a circle centered at (0, -10, 3) of radius 
.
1) According to the table represented above, the number of games that can be played when 7 players are in the tournament is definitely 21 games. As you can see, in the last row there are 4 players to 5,which means that we have 4 new games. The same happens if we go from 3 players to 4, and finelly we have 3.
<span>
2) And what about the </span>recursive rule for the original sequence, the approrpiate one is <span>an = an-1 + n - 1, so the answer is lying in the second option from the scale.
</span>According to the fact that the number of games is actually the sum of integers from 1 to n-1 we expect to have n number of players.
<span>I am sure it's clear now!
</span>
Answer:
Total surface area of a hemisphere: A = 3 * π * r² , Surface to volume ratio of a hemisphere: A / V = 9 / (2 * r) .
Answer:
Na = 720 - 120 = 600 ways
The 3 people can arrange themselves in 600 possible ways.
Step-by-step explanation:
For at least one of the three friends to seat on an aisle seat, the number of possible arrangements can be given as;
Na = Nt - Nn .....1
Where;
Na = number of possible arrangements with at least one of the seating on an aisle seat.
Nt = total number of possible arrangements for the three friends
Nn = number of possible arrangements with none of the three friends seating on an aisle seat.
Given;
Total number of seats available = 10
Total number of aisle seats available = 4
Total number of people = 3
So;
Nt = 10C3 = 10×9×8 = 720
Nn = (10-4)C3 = 6C3 = 6×5×4 = 120
From equation 1;
Na = 720 - 120 = 600 ways
The 3 people can arrange themselves in 600 possible ways.
Answer:
6 x 3 = 18, 18 x 2 = 36
9 x 3 = 27, 27 x 2 = 54
6 x 9 = 54, 54 x 2 = 108
Add all given areas:
108 + 54 + 36 = 198 cm^2 is your answer.
