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dangina [55]
3 years ago
5

How many triangles can be drawn with side lengths 3, 5, and 9?

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Answer:

no triangle

Step-by-step explanation:

SOLUTION: No; . The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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5 0
3 years ago
the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
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Solution: the length is 100 m, and the width is 60 m.

To check:
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20 m less than twice its width is: 120 m-20 m=100 m=the length.


8 0
3 years ago
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