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:
Congressman Smith will defeat Challenger Jones
Step-by-step explanation:
Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:
(44% - 3%) ≤ Jones ≤ (44% + 3%)
41% ≤ Jones ≤ 47%
(54% - 3%) ≤ Smith ≤ (54% + 3%)
51% ≤ Smith ≤ 57%
This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones
.
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
Answer:
The value will be $1,411.20
Step-by-step explanation:
What we do here is to set up an exponential equation to calculate the value.
Mathematically it will look like this;
V = I(1-r)^n
where V is the future value
I is the initial amount = 24,600
r is rate of decrease = 13.75% = 13.75/100 = 0.1375
n is the number of years = 15 years
substituting these values, we have
V = 24,600(1-0.1375)^15
V = 24600(0.8625)^15
V = 1,411.165582454129
= $1,411.20