It's a right triangle as it has the 90 degree corner and 3 different lengths
Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
Point C = Midpoint of AB
On comparing both sides, we get
Similarly,
Therefore, the coordinates of point B are (-4,-2).
If it is a rhombus then you know each side is the same length, so only have to work out one side. To do this you have to use Pythagoras' theorem (a^2 + b^2 = c^2)
So take two sets of coordinates, for example, (0,3) and (5,3), a and b represent the height difference and the length difference. Therefore (5-0)^2 + (3-3)^2 = c^2
c^2 = 25
c = 5 , which would be the side of the rhombus
We have that
the total <span>sold tickets is -------------------------- >600
</span>
the probability of winning with 1 ticket
<span>P=1/600=0.001667---------------- > 0.17%
</span>the probability of winning with 8 ticket
P=(1/600)*8=0.0133---------------- > 1.33%
<span>
the answer is </span>1.33%<span>
</span>