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IgorLugansk [536]
3 years ago
14

Carrie found a stone in the shape of a 30°–60°–90° triangle. The hypotenuse has a length of 5 cm. What is the length of the shor

ter leg? A. 2.5 cm B. 2.9 cm C. 3.5 cm D. 10.0 cm
Mathematics
1 answer:
Elis [28]3 years ago
4 0
Hi friend,
The length of the shorter leg would be, <span>A. 2.5 cm.
Hope this helps you some!</span>
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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

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Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ \frac{n}{d}= \frac{3}{5} – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to \frac{1}{2}.

⇒ \frac{n-2}{d-2}= \frac{1}{2}

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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y=(14-8x) divided by 2

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