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Mariulka [41]
2 years ago
12

Is 3 1/4 closer to 3 or 4is 3 3/5 closer to 3 or 4​

Mathematics
1 answer:
agasfer [191]2 years ago
3 0

Answer:3 and 1/4 is closer to 3 and 3/5 is closer to 4

Step-by-step explanation:  one is closer on the number scale then the other

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Use the Law of Sines to find the missing angle of the triangle.
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Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

<u>Sine Rule for Angles</u>

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

  • a = 13
  • c = 19
  • A = 40°

Substituting the given values into the formula to find m∠C:

\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}

\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}

\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)

\implies \sf m \angle C=69.96086904^{\circ}

Interior angles of a triangle sum to 180°

\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}

\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}

\implies \sf m \angle B=70.03913...^{\circ}

Therefore, m∠B = 70.0° (nearest tenth)

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Help!!!!!!!!!! TYSM if you answer this!!!!!!!!!!!
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