There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm
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Answer:
24
Step-by-step explanation:
4(x+y)
4(1+5)
4*6
24
Answer:
The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.
Step-by-step explanation:
Consider the provided information.
It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.
The probability of winning is 1/38. So, the probability of loss is 37/38.
Now, find the expected value of the game to the player as shown:
Hence, the expected value of the game to the player is -$0.2105.
Now find the expect to loss if played the game 1000 times.
1000×(-$0.2105)=-$210.5
Therefore, the expected loss if played the game 1000 times is -$210.5.
Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is
1 : 4
