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stiks02 [169]
2 years ago
5

1 1/2 times 1 1/3 times 1 1/4 times 1 1/5

Mathematics
2 answers:
Goshia [24]2 years ago
5 0

Answer: 3

Step-by-step explanation:

1 1/2 * 1 1/3 * 1 1/4 * 1 1/5

-> 3/2 * 4/3 * 5/4 * 6/5

-> 3

lina2011 [118]2 years ago
5 0

Answer:

3

Step-by-step explanation:

1 1/2*1 1/3*1 1/4*1 1/5

1 1/2=3/2

=3/2*1 1/3*1 1/4*1 1/5

1 1/3=4/3

=3/2*4/3*1 1/4*1 1/5

1 1/4=5/4

=3/2*4/3*5/4*1 1/5

1 1/5=6/5

=3/2*4/3*5/4*6/5

=4/2*5/4*6/5

=5/2*6/5

=6/2

6/2=3

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Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

4 0
3 years ago
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4 years ago
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Shkiper50 [21]

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