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ANEK [815]
3 years ago
8

TOITUTO

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer: 3x+4=5x

Step-by-step explanation:

Three times a number: 3x

Increased by 4 then means that you are adding 4 to that number after it is multiplied: 3x+4

Is equal to 5 times the number means that you have to set the equation equal to 5x: 3x+4=5x

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Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
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