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sdas [7]
3 years ago
7

Which of the following is the correct value for x?

Mathematics
2 answers:
dusya [7]3 years ago
8 0

Answer: 56

Step-by-step explanation:

Darina [25.2K]3 years ago
8 0

Answer:

x = 55.94 degrees

Step-by-step explanation:

(to find x, use cosine) (cos = \frac{adjacent}{hypothenuse})

<em>First step: write out the equation</em>

⇒ cos x = \frac{14}{25}

<em>Second step: find out what </em>\frac{14}{25}<em>  is </em>

⇒ \frac{14}{25} = 0.56

<em>Third step: find out what the cos-1 of 0.56 is</em>

⇒ cos-1 of 0.56 = 55.94

Fourth step: you got your answer

⇒ x = 55.94

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Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

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∠ 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} }

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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 />

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3 years ago
Q25. The floor of a hall is completely covered by 26 carpets, each
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Answer:

276m^{2} total area. 78m breadth.

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