Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
The area of a circle is given by
where
is the radius of the circle. The diameter is given as
feet, so the radius of this circle is
feet.
Plugging in our values, we get:
.
Answer:
4.24
Step-by-step explanation:
Total price = price of the book + 5% of the price of the book
T = total price P = price of the book G = GST
T = P + G
and
G = 5% of P = 0.05P
therefore
T = P + 5%P = 1P + 0,05P = 1.05P
P = T/1.05 = 89/1.05 ≅ 84.76 (it is 84.7619047619)
G = 89 - 84.76 = 4.24
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²
area of a circle=pi*r²
in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²
the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of the circle minus the area of 1 equilateral triangle
</span>so
[ (3/2)*pi in²-(9/4)*√3 in²]
the answer is
[ (3/2)*pi in²-(9/4)*√3 in²]