Answer:
The value is
Step-by-step explanation:
From the question we are told that
The number of recognized colors is n = 12
The number of teams is k = 8
Generally the total number of color pairs available to be selected is mathematically represented as
Here C stands for combination
=>
Generally the number of ways of selecting color pairs so that no two teams will have chosen the same pair of color is mathematically represented as
Here P stands for permutation
Generally the total number of way the teams can select a pair of color is mathematically represented as
=>
=>
Generally the the probability that no two teams will have chosen the same pair of color is mathematically represented as
=>
Answer:
30
Step-by-step explanation:
They are central angles, which would make the arc equal to the angle.
Answer:
10^2 = 100
100 x 3.14 = 314(area of circle)
314 x 2 = 628(area of both two circles/base and top)
2 x 3.14 x 10 = 62.8(circumference),
62.8 x 6(height) = 376.8
Add areas:
376.8 + 628 = 1,004.8 m2 is your answer.
Answer:
Step-by-step explanation:
Number of side = n = 7
Sum of interior angles of 'n' sided polygon = (n - 2) *180
= (7 - 2)* 180
= 5 * 180
= 900
x + 150 + x -20 + 140 + 120 + x + 20 + 130 = 900
Combine like terms
x +x +x + 150 - 20 + 140 + 120 + 20 +130 = 900
3x + 540 = 900 {Subtract 540 from both sides}
3x = 900 - 540
3x = 360 {Divide both sides by 3}
x = 360/3
x = 120
Interior angle Exterior angle
∠A = 120 180 - 120 = 60
∠B = 130 180 - 130 = 50
∠C = 120 + 20 = 140 180 - 140 = 40
∠D = 120 180 - 120 = 60
∠E = 140 180 - 140 = 40
∠F = 120 - 20 = 100 180 -100 = 80
∠G = 150 180 - 150 = 30
Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).