The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
<h3>What is quadrilateral?</h3>
It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.
We have a quadrilateral shown in the picture.
The diagonal divides the quadrilateral into two triangles
The area of the quadrilateral = area of the triangle ADC + area of the
triangle ADB
= (1/2)3.42×4.39 + (1/2)5.44×3.42
= 7.5069 + 9.3024
= 16.80 square units
Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
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The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.
<h3>What is the scenario under the balloon game?</h3>
The rule of play are:
This is a classic game with simple rules which are:
- Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
- Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.
A scenario of the worksheet game whose expected value is 0 is given below:
Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.
Solution
Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.
(4)(0.313) + (-1)(0.313)
= 0.939 approximately
Thus, the expected value is $0.939 which tells that the game is fair.
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The surface area of the cube with a side length of 2 units is 24 units squared
<h3>How to determine the surface area?</h3>
The side length of the cube is given as:
l = 2
The surface area is calculated as:
Surface area = 6l^2
This gives
Surface area = 6 *2^2
Evaluate
Surface area = 24
Hence, the surface area of the cube is 24 unit squared
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The one on the right would be greater
