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swat32
2 years ago
10

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
2 answers:
Alona [7]2 years ago
8 0

Answer:

√6

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

√6

mr Goodwill [35]2 years ago
3 0

Answer:

\sqrt{6}

Step-by-step explanation:

\sin \: 45 \degree =  \frac{ \sqrt{3} }{x}  \\  \\  \frac{1}{ \sqrt{2} }  =  \frac{ \sqrt{3} }{x}  \\  \\  x =  \sqrt{2}  \times  \sqrt{3}  \\  \\ x =  \sqrt{2 \times 3}  \\  \\ x =  \sqrt{6}

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Whats 1/3 of 1/2? thanks!​
GuDViN [60]

Answer:

It's 1/6, hope this helps!

7 0
2 years ago
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Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.​
Yuliya22 [10]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

5 0
3 years ago
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X 2 −3x−10=x, squared, minus, 3, x, minus, 10, equals
Andreyy89

Step-by-step explanation:

my brain couldn't comprehend can u write it down for me real quick like the way it's supposed to be written please

5 0
3 years ago
The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter
Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

  = (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

  = 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

             = P(Z > 2.34)

             = 0.0096

⇒p-value = 0.0096

7 0
3 years ago
If the expression (3^(d)*\sqrt(5))/(3^(2)*\sqrt(45)) is equal to 3, what is the value of d
Digiron [165]

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8 0
3 years ago
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