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dexar [7]
3 years ago
11

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
kompoz [17]3 years ago
7 0
<span>Theorem.</span><span>  </span>In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 :  ;
Because the length of the hypotenuse is 30 , the length of the longer leg is 15 \sqrt{3} ;

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Can someone help me with number 4,5 and 6?
True [87]
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
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Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
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So, now we have our y-intercept. Use this and plug it into the equation:
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5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

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--------
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So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
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Step-by-step explanation:

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