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aleksandr82 [10.1K]
4 years ago
12

Find the missing lengths of the sides.

Mathematics
1 answer:
Ulleksa [173]4 years ago
5 0

Answer:

The second bubble

Step-by-step explanation:

In a 30 60 90 triangle as shown here a is always 1/2 the hypotenuse (Which the hypotenuse is 6) and then just add \sqrt{3} to the end of it to get b

<em>So, lets demonstrate</em>

a = 1/2 * 6 = 3

b = a*\sqrt{3} = a\sqrt{3} = 3\sqrt{3}

So,

a = 3

b = 3\sqrt{3}

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3 years ago
The area of the pacific ocean is approximatley 6.4x10^7 square miles. The area of the gulf of mexico is approximately 10^5 squar
matrenka [14]

Answer:

640 times greater

Step-by-step explanation:

Given the following

area of the pacific ocean = 6.4x10^7 square miles

area of the gulf of mexico =  10^5 square miles

Taking the ratio of the distances

pacific ocean/gulf of mexico = 6.4x10^7/10^5

pacific ocean/gulf of mexico = 6.4 * 10^2

pacific ocean/gulf of mexico =640

pacific ocean = 640gulf of mexico

Hence the area of the pacific ocean us 640 times greater than the area of the gulf of mexico

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3 years ago
3/30 = n/50<br><br> n = (Blank)<br><br> Find n.
lutik1710 [3]
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4 years ago
Sv is an angle bisector of rst. If mrsv = (3x+5) and mrst = (8x-14), find x.
MA_775_DIABLO [31]

m∠RSV = 3x + 5, m∠RST = 8x - 14       <em>given</em>

m∠RSV ≅ m∠VST                                 <em>definition of segment bisector</em>

m∠RSV + m∠VST = m∠RST                 <em>angle addition postulate</em>

(3x + 5) + (3x + 5) = (8x - 14)                  <em>substitution</em>    

6x + 10 = 8x - 14                                    <em>simplify (added like terms)</em>

       10 = 2x - 14                                    <em>subtraction property of equality</em>

      24 = 2x                                           <em>addition property of equality</em>

      12 = x                                              <em>division property of equality</em>

Answer: x = 12

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4 years ago
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