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PilotLPTM [1.2K]
4 years ago
11

Trig help please

Mathematics
1 answer:
yulyashka [42]4 years ago
6 0
The answer must be  C
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The hypotenuse of a right triangle is 13.0, and one leg is 9.0 units shorter than the other. Find the dimensions of the figure (
Darina [25.2K]
Let, one leg be x units. 
since the other leg is 9.0 units shorter than the other, 
the measure of the other leg =x-9 
hypotenuse =13.0 units 
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  
x^2 +(x-9)^2 =13^2 
x^2 + x^2 -18x +81 = 169 
2x^2-18x-88=0 
Divide the whole equation by 2 
x^2 - 9x -44 =0  
Let's use the quadratic formula to find the roots. 
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  
a=1 b=-9 c=-44 
x= [9±sqrt(81+176)]/2
 =[9±sqrt(257)]/2
 =[9±16.03]/2
 =25.03/2 or -7.03/2
 length of a triangle cannot be negative,
 Therefore, x=25.03/2 =12.52 
 one leg =12.5 units
 other leg =12.52-9 =3.5 units
4 0
3 years ago
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gogolik [260]

Answer:

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Step-by-step explanation:

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3 years ago
I got it partially right I think but I need help !
Papessa [141]

Answer:

U got it correct

Step-by-step explanation:

6 0
3 years ago
89 + 217 =<br> 1,564 – 1,438 =<br> 11 X 5 =<br> 72 : 8 =<br> 6 X 10 =<br> 88 + 8 =<br> 4,632-4,608 =
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Select the proper inverse operation to check the answer to 14 + 17 = 31. A. 31 × 14 = 17 B. 31 ÷ 17 = 14 C. 31 − 17 = 14 D. 14 −
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The solution is c ...
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