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tester [92]
2 years ago
8

3yd 4yd what is the length of the hypotenuse

Mathematics
1 answer:
hjlf2 years ago
6 0

Answer:

5 yd

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

                      = 3² + 4²

                       = 9 + 16

                       = 25

Hypotenuse = √25 = √5*5 = 5 yd

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Answer:

10 months

Step-by-step explanation:

3500 - 2000 = 1500

1500/150 = 10

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3 years ago
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Graph the function and answer each of the following questions, f(x) = -3x + 5
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3 years ago
Which expression has a positive quotient?
svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: \frac{-a}{-b}=\frac{a}{b} and \frac{-a}{b}=\frac{-a}{b}

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}

The quotient is negative.

4) Negative 6 divided by Five-thirds

\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

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