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1 year ago

Solve - 2( x+ 4) = 12

Mathematics

2 answers:

S_A_V [24]1 year ago

8 0

Answer:

x=2

Step-by-step explanation:

1. 2(x+4) = 12

2. 2 • x + 4 = 12

3. 12 divided by 2 = 6

4. 4+2=6

5. 2 • (2 + 4) = 12

x = 2

Zolol [24]1 year ago

4 0

Step-by-step explanation:

2(x+4) = 12

or, 2x + 8 = 12

or, 2x = 12-8

or, 2x = 4

or, x = 4÷2

hence, x = 2

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Answer:

$\theta = 30^\circ, 330^\circ$

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Step-by-step explanation:

Given [Missing from the question]

Equation:

$cos\theta = \frac{\sqrt 3}{2}$

Interval:

$0 \le \theta \le 360$

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Required

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The given expression:

$cos\theta = \frac{\sqrt 3}{2}$

... shows that the value of $\theta$ is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

$cos\theta = \frac{\sqrt 3}{2}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{\sqrt 3}{2})$

$\theta = 30$ --- In the first quadrant

In the fourth quadrant, the value is:

$\theta = 360 -30$

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So, the values of $\theta$ in degrees are:

$\theta = 30^\circ, 330^\circ$

Convert to radians (Multiply both angles by $\pi/180$ )

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$\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}$

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Answer:

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Step-by-step explanation:

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