The answer is 108°
A regular pentagon has all its five sides equal and all five angles are also equal. Hence, the measure of each interior angle of a regular pentagon is given by the below formula. Measure of each interior angle = [(n – 2) × 180°]/n = 540°/5 = 108°.
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155 degrees is the answer
Answer:
ans=13.59%
Step-by-step explanation:
The 68-95-99.7 rule states that, when X is an observation from a random bell-shaped (normally distributed) value with mean
and standard deviation
, we have these following probabilities



In our problem, we have that:
The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 53 months and a standard deviation of 11 months
So 
So:



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What is the approximate percentage of cars that remain in service between 64 and 75 months?
Between 64 and 75 minutes is between one and two standard deviations above the mean.
We have
subtracted by
is the percentage of cars that remain in service between one and two standard deviation, both above and below the mean.
To find just the percentage above the mean, we divide this value by 2
So:

The approximate percentage of cars that remain in service between 64 and 75 months is 13.59%.
The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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