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Klio2033 [76]
2 years ago
6

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She

measures the angle of elevation from her hand to the kite to be 33^{\circ}
∘
. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
Savatey [412]2 years ago
4 0

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

learn  more on right triangles here: brainly.com/question/25799394

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Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.

This means that the value of k will go from 0 to 4, then all the numbers in the sum are:

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So we have 5 terms in our series.

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3 years ago
An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a n
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Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, considering the situation described in the text, the distribution is given by:

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Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677

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Answer:

D

Step-by-step explanation:

I think it is D because exponential graphs usually have a curve to them. And the one you need is exponential decay so D is negative and exponential.

HOPE THIS HELPS! HAVE A GREAT DAY!! :)

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