Answer:
Step-by-step explanation:
Initial number is 64 players
<u>Number of players reduce twice every run and will be equal to 2 to reach the grand final</u>
- 64*(1/2)^x = 2
- (1/2)^x = 1/32
- 2^-x = 2^-5
- -x = -5
- x = 5
Number of runs is 5
64 > 32 > 16 > 8 > 4 > 2
A
Step-by-step explanation:
First and foremost, we can rule out B and C because they are less than one and would make the hexagon smaller instead of bigger. Now, when we measure the units, we see that it goes up by 2 squares on the graph. So, by process of elimination and measurement, we get the answer of A.
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
Answer:
364
Step-by-step explanation:
2x2x7x13
The prime factorization is just the factors of a number.
To find the number, multiply the numbers together
2*2 = 4
4*7 = 28
28*13 = 364