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bonufazy [111]
3 years ago
12

Solve the problem...

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

  • x = 59
  • y = 16.64
  • z = 19.42

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle x is the complement of the one marked 31°.

  x = 90 -31

  x = 59

__

The tangent relation tells you ...

  tan(31°) = 10/y

  y = 10/tan(31°) = 10/0.6009

  y ≈ 16.64

__

The sine relation tells you ...

  sin(31°) = 10/z

  z = 10/sin(31°) = 10/0.5150

  z ≈ 19.42

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Answer:

a) TO = OP = 13

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Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

or

height^2 + (10/2)^2 = 13^2

or

height^2 + 25 = 169

or

height^2 = 144

or

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Answer:

Step-by-step explanation:

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Making a the subject of the formula;

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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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