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Zarrin [17]
3 years ago
14

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

Mathematics
2 answers:
harkovskaia [24]3 years ago
6 0

Answer:

3

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is 1:\sqrt{3}. Therefore:

x=\sqrt{3} \cdot \sqrt{3}= \\\\\sqrt{3}^2= \\\\3

Hope this helps!

Marizza181 [45]3 years ago
5 0

Answer: 3

Step-by-step explanation:

Oh the joys of a 30, 60, 90 triangle, what makes this great is the fact that there is a common ratio. The lengths go as follows:

1 ,  \sqrt{3},  2

So in this case the 1 is the \sqrt{3}, and the hypotenuse is 2\sqrt{3}, thats because in a 30, 60, 90 triangle the hypotenuse must always be twice the length of the smallest side in the triangle.

Okay so now we are left with the weird middle side of the triangle. And basically you multiply \sqrt{3} to \sqrt{3} = 3.

  1 ,  \sqrt{3},   2

multiply by \sqrt{3}

\sqrt{3},   3,   2\sqrt{3}

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Algebraically, determine the exact value of x for the<br> equation 85(2)0.4x = 6000.
Oliga [24]

Answer: 14,575

Step-by-step explanation:

85(2) 0.4x = 6000      Multiply 85 times 2

170 + 0.4x = 6000      Subtract 170 from both sides

         0.4x = 5830       Divide 5830 by 0.4

             x = 14,575

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Trey deposited 20% of his paycheck in the bank. if he deposited $30 how much was his paycheck
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3 years ago
Solve the equation -18 +3x = -6
Eddi Din [679]
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What is (x-2)(x+2) in standard from
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I hope this helps.
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2 years ago
Geometry. Very basic.
AveGali [126]

Answer:

A)10.25 cm ; B)5 square cm  

Step-by-step explanation:

A)

Formula:

p=(a+b+c)         [p= perimeter ;  a,b , and c are the side lengths.]

∴The perimeter of the triangle =(4+2.75+3.5) cm  

                                                =10.25 cm

B)

Formula:

A = 1/2 . b .h    [A=area ; b= base ; h= height]

∴The area of the triangle = (1/2 . 4 . 2.5) square cm    [b=4 ; h=2.5]

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