Please help me solve this. 4n – 19 = 29

Mathematics

2 answers:

Aleks04 [339]4 years ago

6 0

Answer:

Step-by-step explanation:

4n= 29 + 19

4n = 48

4÷48= 12

n = 12

Mrac [35]4 years ago

4 0

Answer:

Solution of the equation is : n=12

Step-by-step explanation:

Given equation:

$4n - 19 = 29$

Solving the equation for 'n'

Add '19' both sides:

$4n-19+19=29+19$

$4n=29+19\\\\4n=48$

Dividing by '4' both sides:

$\frac{4n}{4}= \frac{48}{4} \\\\n=\frac{48}{4}\\\\ n=12$

The Solution of the equation is : n=12

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andrew-mc [135]

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$\cos\theta=\pm\sqrt{1-\sin^2\theta}=\pm\sqrt{1-\dfrac{16}{17}}=\pm\dfrac1{\sqrt{17}}$

Since $\tan\theta=\dfrac{\sin\theta}{\cos\theta}>0$ , and $\sin\theta>0$ , it follows that $\cos\theta>0$ too, so you take the positive root:

$\cos\theta=\dfrac1{\sqrt{17}}$

Therefore

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac1{\sqrt{17}}}{\frac4{\sqrt{17}}}=\dfrac14$