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2 answers:
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Answer:
<em>There are a few ways to solve systems of equations. </em>
- <em>There are a few ways to solve systems of equations. substitution</em>
- <em>There are a few ways to solve systems of equations. substitutionelimination</em>
- <em>There are a few ways to solve systems of equations. substitutionelimination </em><em>Graphically</em>
<em>If you are looking at a multiple choice question use the ordered pair to plug into the answer choices and whichever one balances out will be your answer. To assist you further I would need more information from the problem. </em>
Step-by-step explanation:
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Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
