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2 years ago

Given line ac with line ab=2x-4, bc=4x and ac=2x+12 find ac

Mathematics

1 answer:

tankabanditka [31]2 years ago

5 0

Answer:

The answer to your question is: AC = 20

Step-by-step explanation:

Data

AB = 2x - 4

BC = 4x

AC = 2x + 12

AC = ?

AB + BC = AC

2x - 4 + 4x = 2x + 12

6x - 4 = 2x + 12

6x - 2x = 12 + 4

4x = 16

x = 16/4

x = 4

AB = 2(4) - 4 = 8 - 4 = 4

BC = 4(4) = 16

AC = 2(4) + 12 = 8 + 12 = 20

4 + 16 = 20

20 = 20

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks

Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

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Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

Thus, the distance between two landmarks is 123 meters

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Step-by-step explanation:

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2 years ago

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GuDViN [60]

Answer:

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