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Natasha_Volkova [10]
3 years ago
14

Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams. Three players in each team how many different

ways can they be put into two teams of three players
Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

20

Step-by-step explanation:

GIVEN: Tina, Sijil, Kia, vinayash Alisha and shifa are playing game by forming two teams Three players in each team.

TO FIND: how many different ways can they be put into two teams of three players.

SOLUTION:

Total number of players =6

total teams to be formed =2

total players in one team =3

we have to number of ways of selecting 3 players for one team, rest 3 will go in other team.

Total number of ways of selecting 3 players =^6C_3

                                                                      =\frac{6!}{3!3!}

                                                                     =20

Hence total number of different ways in which they can be put into two different teams is 6

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A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
In ΔABC, BC = 13, CA = 20 and AB = 19. Which statement about the angles of ΔABC must be true?
I am Lyosha [343]

Answer:

m∠B > m∠C > m∠A

Step-by-step explanation:

The angle opposite the largest side in a triangle is the largest, and the angle opposite the shortest side is the smallest.

4 0
1 year ago
At the family reunion there were 15 more family members there this year than at the last family reunion. There were 46 people at
Kipish [7]
The equation would be x+15=46. I came up with this equation because we are given the total number of people at the reunion this year and we know how many more people are here this year than last year. The unknown is the number of people last year. That is why x would represent the number of people at the reunion last year because that is the unknown. If we add 15 to the number of people last year, it will give us 46( the number of people at the reunion this year).
To find x, we just use opposite operation to get the answer. Opposite of addition is subtraction so, we subtract the number of more people and the reunion this year from the total number of people at the reunion to get the unknown number of people at the reunion last year. 46-15 is 31. Therefore we know that 31 people were at the reunion last year
3 0
3 years ago
Read 2 more answers
Rewarding brainly (dont get mad if i dont do it right away
jeyben [28]
32 units

Uhh- i just graphed the ordered points and it indeed formed a rectangle. I counted how many units are around the rectangle cus thats what perimeter is. Its 32 units

Ita not quite complicated tho. Have a nice day
6 0
3 years ago
Read 2 more answers
A police officer investigating a car accident finds a skid mark of 115 ft in length.
Minchanka [31]

Answer:

Speed of car = 49 mph (Approx.)

Step-by-step explanation:

Given:

Length of skid marked = 115 ft

Formula for skid mark = S = √21d

Where d = Length of skid marked

Find:

Speed of car

Computation:

Speed of car = √21d

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426

Speed of car = 49 mph (Approx.)

7 0
3 years ago
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