The <em><u>correct answers</u></em> are:
60°, 120°, and 180°.
Explanation:
A hexagon has six angles. A full circle is 360°; since there are 6 angles in the hexagon, it will rotate onto itself every 360/6 = 60°. This means that the hexagon will rotate onto itself at angles that are multiples of 60°; this means that 120° and 180° will also do this.
The other side would have a length of 5m
Using the combination formula, it is found that:
There are 364 different orders of top-three finishers that include all seniors.
The probability that the top-three finishers will all be seniors is 15.38%.
The order in which the players are taken is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In total, three students are taken from a set of 14, hence:
Including only seniors, it would be three students from a set of 8, hence:
Hence the probability is given by:
p = 56/364 = 0.1538 = 15.38%.
More can be learned about the combination formula at brainly.com/question/25821700
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<h3>
Answer: 30.5</h3>
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Work Shown:
I used the law of sines. Make sure your calculator is in degree mode.
The confirmation diagram shown below was made with GeoGebra. It is a free geometry and algebra app that I use all the time.