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diamong [38]
2 years ago
11

Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica

l height of 150 m, as shown in the diagram opposite?
Mathematics
1 answer:
Lera25 [3.4K]2 years ago
8 0

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

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2 years ago
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yuradex [85]
A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

                u(m) = u/sqrt n

Substituting the known values,

               u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,
         
      z-score = (data point - mean) / standard deviation

 z-score of 172.5
     z-score = (172.5 - 174.5) / 1.38 = -1.49
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z-score of 175.8
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This translates to 0.83. 

The difference between the two z-scores is 0.762. 

 The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters
   
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The number of people with this height from the sample is (0.03)(200) = 6
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A three-dimensional printing pen uses heated plastic to create three-dimensional objects. A kit comes with one 3D-printing pen a
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Step-by-step explanation:

As a rule, the "simplified form" means there are no fractions under a radical.

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A certain shade of pink is created by by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should
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Answer:

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