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denis-greek [22]
1 year ago
12

A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east

. What is the balloon's actual speed and direction? Round angles to the nearest degree and other values to the nearest tenth.
Mathematics
1 answer:
crimeas [40]1 year ago
3 0

Answer:

Step-by-step explanation:

v = {[(20sin36°)i + (20cos36°)j] + 10i} mi/h

 

vE = 20sin36º + 10 = 21.76 mi/h

 

vN = 20cos36° = 16.18 mi/h

 

v = √(vE2 + vN2) = √(21.762 + 16.182) mi/h = 27.12 mi/h

 

θ = tan-1(vN/vE) = tan-1(16.18/21.76) = 36.6º north of east

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Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


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2 years ago
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If X1 = 440, Y1 = 220, and X2 = 360, what’s the value of Y2
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140 is the answer for y2 because x1 is 80 more than x2 so you would subtract y2 by 80

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Marissa buys a licorice candy rope to share with some friends. The rope is 30 and two thirds inches long. She begins to cut the
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Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4
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Answer:

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Step-by-step explanation:

We have that:

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If there are 24 houses that are not painted yellow, how many yellow houses are in the neighborhood?

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