Answer:
15 players played in the chess tournament.
Step-by-step explanation:
When there are 15 players, the first player plays 14 games and step aside.
remaining 14 player
next player plays 13 games. steps aside
remaining 13 players
next player plays 12 games. steps aside
remaining 12 players
next player plays 11 games. steps aside
remaining 11 players
.
.
.
.
Last player plays 1 game and steps aside
remaining 1 player who will not play against himself.
∴ Sum of all games played
= 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105 games played
THEOREM:
- <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
- x² = 12² + 9²
- x² = 144 + 81
- x² = 225
- x = √225
- x = 15 units.
So, <u>Correct choice</u> - [C] 15 units.
34 is the original number.
This is because 34 times 2 is 68 and 68 plus 3 is 71.
Answer:
813.4 cm² (nearest tenth)
Step-by-step explanation:
<u>Volume of a cylinder</u>

Given:
Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:



<u>Surface Area of a Cylinder</u>

Substitute the given value of h and the found value of r into the formula and solve for SA:




Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)