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3 years ago

Brainliest to most helpful! Answer asap!

1 answer:

8 0

ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA

The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite

Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent

The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle

θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3

α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162

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Answer:

John work as a security guard job 27 hours and as a landscaper 33 hours.

Step-by-step explanation:

Given:

John works two jobs.

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One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

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⇒ $8.50x+840-14x=691.50$

Moving variables on one side and the other we get:

⇒ $840-691.50=14 x-8.50x$

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Dividing both sides by 5.50 we get:

⇒ $27=x$

As a security guard job he worked 27 hours.

Putting the value of in $x$ equation ( 1 ) we get:

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As a landscaper he worked 33 hours.

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