Answer:
The length of apothem of given hexagon is 8.66 cm
Step-by-step explanation:
Apothem of a polygon is given by:

Here
s is length of side
tan is trigonometric function
and n denotes number of sides
Given that the polygon is a hexagon

Putting the values in the formula

Hence,
The length of apothem of given hexagon is 8.66 cm
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
The line that is perpendicular to the line on the graph is y=3
The equivalent sets are <u>X n Y = { } and X U Y= {5, 6, 7,8, 9, 10, 12 ,14}</u>
<h3>Set theory and notation</h3>
Given the following sets expressed as;
X = {8, 10, 12, 14}
Y = {5, 6, 7, 8,9}
Since union means the combination of all the elements in both sets and intersection is the common elements in the set, hence;
X n Y = { }
X U Y= {5, 6, 7,8, 9, 10, 12 ,14}
Note that the intersection is an empty set since there is no common element
Learn more on set theory here: brainly.com/question/13458417
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