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2 years ago

4(3x-2)-10x+5(x+2) remove brackets and simplify pls :)

Mathematics

2 answers:

schepotkina [342]2 years ago

5 0

Answer:

7x + 2

Step-by-step explanation:

4(3x-2)-10x+5(x+2)

12x - 8 - 10x + 5x + 10 = 7x + 2

Dmitriy789 [7]2 years ago

4 0

Answer:

7x-6

Step-by-step explanation:

ok so um to remove the brackets you would want to multiply the number outside the brackets

12x-8-10x+5x+2

now you want to combine like terms

7x-6

I hope this helps you!!!

Have a good day!!!!!

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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

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I've added an attachment that represents the scenario.

From the attachment, we have:

$\mathbf{\angle A = 180^o - 120^o\ 43'}$

Convert to degrees

$\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}$

$\mathbf{\angle A = 180^o - (120^o +0.717^o)}$

$\mathbf{\angle A = 180^o - (120.717^o)}$

$\mathbf{\angle A = 59.283^o}$

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Convert to degrees

$\mathbf{\angle B = 39^o + \frac{43}{60}^o}$

$\mathbf{\angle B = 39^o + 0.717^o}$

$\mathbf{\angle B = 39.717^o}$

So, the measure of angle S is:

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$\mathbf{\angle S = 180 - 59.283 - 39.717}$

$\mathbf{\angle S = 81}$

The required distance is distance AB

This is calculated using the following sine formula:

$\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }$

Where:

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So, we have:

$\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}$

Make AB the subject

$\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}$

$\mathbf{AB= 5783.96}$

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

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