(y x .12) x .3 = the total cost
Answer:
The length is 4 times the width
1.50 + 0.50(x-1) <u><</u> 25
1.50 + 0.50x - 0.50 <u><</u> 25
1 + 0.50x <u><</u> 25
<u>-1 -1</u>
0.50x <u><</u> 24
<u> ÷0.50 ÷0.50</u>
x <u><</u> 48
1.50 + 0.50x <u><</u> 25 ; x <u><</u> 47 miles 3rd option in the choices.
To check:
1.50 + 0.50(47) <u><</u> 25
1.50 + 23.50 <u><</u> 25
25 <u><</u> 25
The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.