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IceJOKER [234]
3 years ago
5

Mrs. Rowan allotted 30 minutes at the

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

Experimental-theoretical over theoretical.

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Since this is old, im just gonna get these points, don't wan't them to go to waste lm.ao

Step-by-step explanation:

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Help with this percentage question plz
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Alja [10]

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3 years ago
Use the Law of Sines to find the missing angle of the triangle.
Natasha2012 [34]

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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2 years ago
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