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kompoz [17]
2 years ago
15

The solution of 5(x+2) – 3x = 2(x – 5)

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

2x + 10 = 2x - 10

0x = -20

no solution

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Measure the lengths of the sides of ∆ABC in GeoGebra, and compute the sine and the cosine of ∠A and ∠B. Verify your calculations
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Answer:

Sin \angle A =0.80

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Step-by-step explanation:

Given

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Solving (a): Sine and Cosine A

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So:

Sin \angle A =\frac{BC}{BA}

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Sin \angle A =\frac{8cm}{10cm}

Sin \angle A =\frac{8}{10}

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Cos \angle A=\frac{6cm}{10cm}

Cos \angle A=\frac{6}{10}

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In trigonometry:

Sin \theta =\frac{Opposite}{Hypotenuse} and

Cos \theta =\frac{Adjacent}{Hypotenuse}

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Sin \angle B =\frac{AC}{BA}

Substitute values for AC and BA

Sin \angle B =\frac{6cm}{10cm}

Sin \angle B =\frac{6}{10}

Sin \angle B =0.60

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Substitute values for BC and BA

Cos \angle B=\frac{8cm}{10cm}

Cos \angle B=\frac{8}{10}

Cos \angle B=0.80

Using a calculator:

A = 53^{\circ}

So:

Sin(53^{\circ}) =0.7986

Sin(53^{\circ}) =0.80 -- approximated

Cos(53^{\circ}) = 0.6018

Cos(53^{\circ}) = 0.60 -- approximated

B = 37^{\circ}

So:

Sin(37^{\circ}) = 0.6018

Sin(37^{\circ}) = 0.60 --- approximated

Cos(37^{\circ}) = 0.7986

Cos(37^{\circ}) = 0.80 --- approximated

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