Prove that 4 is a multiple of 2
1 answer:
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<h3>Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as
which is equivalent to
The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.
The sides of the triangle are given as a = 20, b = 15, and c = 25.
We will use Hero's formula to find the area of this triangle.
<h3>What is Heron's formula?</h3>It is a three-face polygon that consists of three edges and three vertices.
We use Heron's formula to find the area of a triangle with 3 sides:
Herons formula:
Area of a triangle =
Where a, b, and c are sides of a triangle.
And s = semi perimeter of a triangle.
s =
If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.
Let the given sides be:
a = 20, b = 15 and c = 25.
(20 + 15) > 25
(20 + 25) > 15
(15 + 25) > 20 so the given sides are true.
Now,
Semi perimeter of the triangle:
s = (a+b+c) / 2
s = (20+15+25) / 2
s = 60 / 2
s = 30
Putting s = 30 in the area of the triangle.
we get,
Area of the triangle =
Area of the triangle =
Thus, the area of a triangle is 150.
Learn more about the Area of triangles here:
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