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:
Option 4, 64 cm^2
Step-by-step explanation:
The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.
The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.
To find the area of them:
A=8(bh/2)=8(2*6/2)=48 cm^2
However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2
Adding the areas of all the edges and the square:
48 + 16 = 64cm^2
Hence, the area of the polygon is 64cm^2
The desired linear functions are given as follows:
a) x = a.
b) y = b.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
A vertical line has undetermined slope, hence it is defined by x = a, containing point (a,b).
A horizontal line has slope of 0, hence it is defined by y = b, containing point (a,b).
More can be learned about linear functions at brainly.com/question/24808124
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5.35 i’m not sure but hope this helps