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son4ous [18]
4 years ago
8

In triangleABC, C is the right angle. If tanA = 8/6, find cosB

Mathematics
1 answer:
klemol [59]4 years ago
4 0

<u>Short answer</u> = C) 8/10

<u>Working :</u>

Tan A = 8/6 = Opposite / AdjacentOpposite = 8 units

Adjacent = 6 units

Hypotenuse = \sqrt{8^{2} + 6^{2} }

                     = \sqrt{64 + 36 }

                     = \sqrt{100}

                     = 10 units

Cos B  = Adjacent/ Hypotenuse

        ∴  cos B= 8/10

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Answer:

x = -8

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Step-by-step explanation:

So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.

You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44

Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.

Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.

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3 years ago
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8 0
3 years ago
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4 years ago
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