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katrin [286]
3 years ago
11

In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse

. Find the length of the hypotenuse.
Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

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Answer:

<h3>6 days</h3>

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

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Subtract 125 from both sides

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Divide both sides by 50

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Rearrange

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<em>Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days</em>

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Answer:

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