Problem 10
<h3>Answer: approximately 57.39159 km</h3>
Explanation: You'll use the equation cos(28) = d/65 to solve for d to get d = 65*cos(28) = 57.39159 approximately. We use the cosine ratio because it ties together the adjacent and hypotenuse.
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Problem 11
<h3>Answer: approximately 10.46162 meters </h3>
Explanation: This time we use the sine rule. We have the height as the opposite side (which is unknown, call it x) and the hypotenuse is the ladders length (11). So we have sin(72) = x/11 which solves to x = 11*sin(72) = 10.46162
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Problem 12
<h3>Answer: approximately 16.05724 cm</h3>
Explanation: Now we use the tangent rule to connect the opposite and adjacent sides.
tan(37) = 12.1/x
x*tan(37) = 12.1
x = 12.1/tan(37)
x = 16.05724 approximately
The correct answer is: A. 150 more students tickets sold than adult tickets.
Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
Step-by-step explanation:
2x^2 = 4 + 6x
divide both sides by 2
x^2 = 2 + 3x
move expression to the left
x^2 - 2 - 3x = 0
reorder the terms
x^2 - 3x - 2 = 0
use the quadratic formula
x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1
calculate
x = 3 +- sqrt 17 / 2
answer
x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
The highest common multiple is 14 because
8x2=14
14x1=14
Thus, 14 is the highest common multiple!
Hope this Helps :)
