Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm
Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side
hexagon has 6 sides.
Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a
We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .
Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2
A = 112 cm²
112 cm² * 6 triangles = 672 cm²
Answer:
61/125 or 0.488
Step-by-step explanation:
Total = 5×5×5 = 125
Numbers with no 4 = 4×4×4 = 64
Atleast one 4= 125-64 = 61
P(atleast one 4) = 61/125 or 0.488
Answer:
r = 1
Step-by-step explanation:
slope = change in y / change in x, so:
change in y / change in x = 2/3
5 - r / 7 - 1 = 2/3
5 - r / 6 = 2/3

now solve this equation.
first, multiply both sides by 6 to get rid of the fraction:

subtract 5 from both sides

multiply both sides by -1

Answer:
y = 2x - 8
Step-by-step explanation: