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murzikaleks [220]
3 years ago
9

1. What percent of students need swimming lessons?

Mathematics
1 answer:
ANEK [815]3 years ago
4 0
1.)
460. 100%
74. X
X= 100•74/460
X=16.09%

2.)
175 100%
172. X
X=172•100/175
X=98.28%
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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)

8 0
2 years ago
Can someone help me its due soon
lukranit [14]

Answer: 10

Step-by-step explanation:

Triangles have 3 sides. So each side is either equivalent or one side is short while the other two are equivalent.

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2 years ago
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Brilliant_brown [7]
1 center meter ☺️☺️...
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How to I find a? It’s round to the nearest tenth.
Irina18 [472]

Answer:

a ≈ 21.8

Step-by-step explanation:

We require the third angle in the triangle

Subtract the sum of the 2 angles from 180

third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°

Using the Sine rule, that is

\frac{a}{sin73.2} = \frac{22}{sin75} ( cross- multiply )

a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )

a = \frac{22sin73.2}{sin75} ≈ 21.8 ( to the nearest tenth )

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3 years ago
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Korvikt [17]

Answer: 1 9/15

Step-by-step explanation:

I can’t speak Spanish

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