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Phoenix [80]
3 years ago
9

Use the converse of the Pythagorean theorem to determine if the three given side lengths form a right triangle. 14 cm, 48 cm, 50

cm
Mathematics
1 answer:
Alex73 [517]3 years ago
4 0
So Pythagoras says that in a right triangle 

a^2 = b^2 + c^2

where a is the longest side and b, c are shorter sides

So using your information let a = 50, b = 48 and c = 14

substitute them into the formula ans see if the left side of the equation equals the right side. 

If the left side does equal the right side the triangle is right angled. 

If it doesn't it's not right angled. 
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jasenka [17]

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240

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8 0
2 years ago
Read 2 more answers
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers
enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

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Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0
3 years ago
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