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shtirl [24]
3 years ago
9

Find the length of X in simplest radical form with a rational denominator

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

x = \sqrt 6

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Considering angle 30 degrees,

Opposite = \sqrt{2

Adjacent = x

Using the tangent formula:

tan\ 30 = \frac{\sqrt 2}{x}

Make x the subject

x = \frac{\sqrt 2}{tan\ 30}

x = \frac{\sqrt 2}{1/\sqrt 3}

x = \sqrt 2 * \sqrt 3

x = \sqrt 6

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Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
vekshin1

Answer:

A) 1/12

Step-by-step explanation:

The sample space of rolling a die is { 1,2,3,4,5,6}

P (getting 3)= The number of "3"'s  in the sample space over the number of items in the sample space

P (getting a 3} = 1/6

P (getting  even)= The number of evens  in the sample space over the number of items in the sample space

P (getting an even} = 3/6= 1/2

Since these are independent events, we multiply the probabilities

P(3, even) = 1/6 * 1/2 = 1/12

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3 years ago
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A cylindrical barrel has a radius of 7.6ft and height of 10.8ft. Tripling which dimensions will triple the volume of the barrel?
Ymorist [56]
Both height and radius.

Hope this helps! (:
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3 years ago
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What is the value of x log3x equals 4
ArbitrLikvidat [17]

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2 years ago
Which expression is equivalent to
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2 years ago
In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10. What is the value of x?
Stels [109]

Answer: The value of x= 18

Step-by-step explanation:

Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.

The sum of all angles of a triangle is 180°.

Therefore, in triangle EFG

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⇒ 8x-16 +x+8+ 2x-10 =  180

⇒ 11x-18= 180

⇒ 11x = 180+18

⇒11x=198

⇒ x= 18   [Divide both sides by 11]

Hence, the value of x= 18

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2 years ago
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