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Anna007 [38]
2 years ago
11

The hypotenuse of a right triangle is 7 inches, and one of the legs is inches. Find the length of the other leg.

Mathematics
1 answer:
iogann1982 [59]2 years ago
3 0

Answer:

6.

Step-by-step explanation:

By using the well-known Pythagorian theorem we can write this equation:

7^2=13+b^2 -> b^2=49-13=36

The square root of 36 is obviously 6.

So, the other leg has a length of 6 inches :)

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We first do:
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3 years ago
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

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2 years ago
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V = a^2 h/3

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It would be -1.25 degrees at noon.

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Answer:

The answer is D.

An event D is said to be independent of another event.

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