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olga_2 [115]
3 years ago
5

You roll a dice 100 times a 6 = Gold, 4 & 5 = Silver and 1, 2 & 3 = Bronze.

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
The probability of achieving a gold medal is 16/100 = 4/25.
The probability of achieving a bronze medal is 49/100.
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Angelina_Jolie [31]

Answer:

x = 16

Step-by-step explanation

Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.

Hence 2x+13 = 3x-3

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-x = -16

Multiply both sides by -1

-1(-x) = -1(-16)

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.
Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

AC^{2} + BC^{2} = AB^{2}

AC^{2} + AD^{2} = AB^{2}      (Given that AD = BC)

AC^{2} + AD^{2} = 3^{2}      (Given that AB=3)

AC^{2} + AD^{2} = 9 ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

AD^{2} + CD^{2} = AC^{2}

AD^{2}+(\sqrt{2})^2= AC^{2}

AD^{2}+2= AC^{2}

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Plug value (ii) into (i)

AC^{2} + AC^{2}-2 = 9

2AC^{2} -2=9

2AC^{2} =11

AC^{2} =\frac{11}{2}

AC=\sqrt{\frac{11}{2} }


Hence final answer is AC=\sqrt{\frac{11}{2} }

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7x +5 = 3x -15

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