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kaheart [24]
3 years ago
11

In a chess match, a win counts as 1 point, a draw counts as ½ point, and a loss counts as 0 points. After 15 games, the winner w

as 4 points ahead of the loser. How many points did the loser have?
Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer:

The loser had 5.5 points

The he winner had 9.5  points

Step-by-step explanation:

9.5 - 5.5 = 4

5.5 + 9.5 = 15

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Step-by-step explanation: Please refer to the diagram attached for more details.

The right angled triangle ABC has been drawn with angle A measuring 30 degrees and line AB measuring 12√3. To calculate the other two unknown sides AC labelled b, and BC labelled a, we shall use the trigonometric ratios. However, in this scenario, we shall apply the special values of each trigonometric ratio. These are shown in the box on the top right in the picture. The proof is given in the second right angled triangle at the bottom part of the attached picture.

Assume an equilateral triangle with lengths 2 units on all sides and 60 degrees at all angles. Drawing a line perpendicular to the bottom line would divide the top angle into two equal halves (30 degrees each), and the bottom line also would be divided into two equal halves (1 unit each). So the hypotenuse will measure 2 units and the line at the base would measure 1 unit. By using the Pythagoras' theorem, we derive the third side to be √3 <u>(that is x² = 2² - 1², and then x² = 4 - 1,  and then x² = 3 and finally x = √3).</u>

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