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2 years ago

Work out 6a + 5a = -11

Mathematics

2 answers:

jek_recluse [69]2 years ago

8 0

A equals -1 because 6*-1=-6 and 5*-1=-5 then -5+-6=-11

Amanda [17]2 years ago

4 0

6a+5a=-11
Add similar a terms on one side
so 11a=-11
So a=-1

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marusya05 [52]

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I will answer this question using the attached triangle

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

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

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

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In trigonometry:

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

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

So:

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

Substitute values for AC and BA

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

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

$Sin \angle B =0.60$

$Cos \angle B=\frac{BC}{BA}$

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:

$A = 53^{\circ}$

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

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So:

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

$Cos(37^{\circ}) = 0.7986$

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

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