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]
Direct variation has this equation:
y = kx
where k is the constant of variation
y = -5 ; x = -15
y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k
Choice D. y = 1/3 x
Cot=cos\sin
sec=1\cos
cosx\sinx÷1\cosx=
cos^2x\sinx=1-sin^2x\sinx=
1\sinx-sin^2x\sinx= 1/sinx-sinx
21.27*40= Annual premium is 850.8 51% of 850.8 is 433.9 ---> semi annual his quarterly is 26% of 850.8 so 221.2 and finally his monthly premium is 9 percent of 850.8 so it's 76.57
Answer:
2/3
Step-by-step explanation:
The rate of change is the same thing as the slope of a line