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3 years ago

Answer to 9a is 11.3km

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

Answer:

11.3 Km

Step-by-step explanation:

Consider the right triangle formed by AB and West.

The acute angle WAB = 270° - 250° = 20°

and West is the adjacent side of the right triangle with AB the hypotenuse

Using the cosine ratio in the right triangle, then

cos20° = $\frac{adjacent}{hypotenuse}$ = $\frac{adj}{12}$

Multiply both sides by 12

12 × cos20° = adjacent

11.2763.. = adjacent, that is

B is 11.3 Km west of A

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Answer:

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Step-by-step explanation:

Solve the following system:

{y = 4 x + 1 | (equation 1)

{y = 2 x | (equation 2)

Express the system in standard form:

{-(4 x) + y = 1 | (equation 1)

{-(2 x) + y = 0 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{-(4 x) + y = 1 | (equation 1)

{0 x+y/2 = (-1)/2 | (equation 2)

Multiply equation 2 by 2:

{-(4 x) + y = 1 | (equation 1)

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Subtract equation 2 from equation 1:

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{0 x+y = -1 | (equation 2)

Divide equation 1 by -4:

{x+0 y = (-1)/2 | (equation 1)

{0 x+y = -1 | (equation 2)

Collect results:

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