Answer:
b) 41.6 square inches
Step-by-step explanation:
A regular hexagon is inscribed in a circle with a diameter of 8 inches.
Step 1
We find the radius
Radius = Diameter/2
= 8 inches/2 = 4 inches
a. What is the perimeter of the hexagon?
b. What is the area of the hexagon?
An hexagon has 6 sides
The number of angles in an hexagon is calculated as:
[(Number of sides - 2) x 180]
= (6 - 2) x 180 = 720 ÷ 6 = 120°
The hexagon into 6 equilateral triangles with 4 for each of its sides.
The area of one of the triangles:
Height = 2√3
- one triangle's area = (1/2)bh = (1/2)(4)(2√3) = 4√3
The area of the hexagon by multiplying the one triangle's area by 6:
6 x 4√3 = 24√3 square inches
= 41.569219382 square inches
Approximately = 41.6 square inches
A vertical line is perpendicular to the x-axis because they would intersect to form a 90 degree angle.
Angle A is the same as Angle C. 160 degrees.
The initial cost is $12 to enter.
Each ticket is $.50
we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;
70 x .50 = 35
Therefor including the entry fee, it would cost $35 + $12
Which is $47
I hope this helps! :)
Answer:
The answer to your question is because it is a solution of each equation.
Step-by-step explanation:
Data
Point (3,4)
Equation l y = 1/3x + 3
Equation ll y = 2x - 2
Process
1.- To test is a point is solution to a system of equations,
-Substitute the point in both equations
Equation l 4 = 1/3(3) + 3
4 = 1 + 3
4 = 4 The point is a solution because
4 = 4
Equation ll 4 = 2(3) - 2
4 = 6 - 2
4 = 4 This point is a solution for the second
equation but not for the first one.
2.- Conclusion
As the point is a solution of each equation, it is a solution of the system.
