Marcella won't be able to win the competition because the length of the rope is less than 162 feet.
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How to find the sides of a right angle triangle?
The situation forms a right angle triangle.
The kite released rope is the hypotenuse side of the triangle formed.
The opposite side of the triangle is the height of the kite from the ground.
Therefore,
sin 28 = opposite / hypotenuse
sin 28 = 75 / h
h = 75 / sin 28
h = 75 / 0.46947156278
h = 159.754085116
h ≈ 160 feet
Therefore, she won't be able to win the competition because the length of the rope is less than 162 feet.
learn more on right triangle here: brainly.com/question/26774610?
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Answer: -1/2
Step-by-step explanation:
Slope=rise/run
Up 1 and to the left 2 which makes it a negative
By adding the 1st and third equation together, you get rid of z and end with 7x+8y=13. The second equation will be the second equation and 2 times the first equation, so the will yield 3x+8y=1. Now, you solve this system of equations and get x3, y=-1, and z=-4
That the variable Z is directly proportional to X and inversely proportional to Y means Z = A (X/Y)
=> A = Z* Y / X
=> 9.5 * 6 / 3 = Z * 12 /8
=> Z = 9.5 * 8 * 6 / (3 * 12) = 12.67
Answer: 12.67