Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be
inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment
be a height on side
. Since this triangle is equilateral, the size of each internal angle will be
. The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is
inches, the radius of this circle will also be
inches.
The area (in square inches) of a circle of radius
inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.
Larger number is 32 because if u take 48 minus 16 u get your anwser
Make each fraction have a like denominator
7/9 * 8/8= 56/ 72
7/8 * 9/9 = 63/72
18 + 14 + (56+63)/72
32 + 119/72
32 + 1 + 47/72
33 and 47/72
I don't like trying all of them so I will make up my own which will probably be in the answers
so equation is
f(x)=pay
x=hours worked
solve so
f(1)=110
f(2)=130
f(3)=150
f(4)=170
they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20
the answe ris f(n+1)=f(n)+20