The perimeter of the hexagon is 180 ft.
The area of the hexagon is 2338.3 ft
<h3>How to find area and perimeter of a polygon?</h3>
The perimeter of the polygon can be found as follows:
The polygon is a regular hexagon.
Therefore,
perimeter of the hexagon = 30 × 6 = 180 ft
Area of the hexagon = 3√3 / 2 × s²
where
Therefore,
Area of the hexagon = 3√3 / 2 × 30²
Area of the hexagon = 3√3 / 2 × 900
Area of the hexagon = 450 × 3√3
Area of the hexagon = 2338.26859022
Area of the hexagon = 2338.3 ft
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Answer:
Step-by-step explanation:
A parallel line will have the same slope, m, as the reference line given by the form y=mx+b. b is the y-intercept, the value of y when x=0.
The reference line of y = -(1/2)x + (3/7) has a slope of -(1/2).
The parallel line will have the same slope, so we can write:
y - -(1/2)x + b
We need a value of b that forces the line to go through point (-1,0). Enter that point in the equation and solve for b:
y - -(1/2)x + b
0 - -(1/2)(-1) + b
b = -(1/2)
The equation of the line parallel to y = -(1/2)x + (3/7) and going through (-1,0) is
y=-(1/2)x - (1/2)
Answer:
this sequence is geometrical sequence
and it's formula is
![y = a {r}^{n} \\ here \: a \: is \: first \: number \: is \: equal \: 1 \\ and \: the \: ratio \: is \: r \: is \: equal \: - 3 \\ y = 1 \times {( - 3)}^{n}](https://tex.z-dn.net/?f=y%20%3D%20a%20%7Br%7D%5E%7Bn%7D%20%20%5C%5C%20here%20%5C%3A%20a%20%5C%3A%20is%20%5C%3A%20first%20%5C%3A%20number%20%5C%3A%20is%20%5C%3A%20equal%20%5C%3A%201%20%5C%5C%20and%20%5C%3A%20the%20%5C%3A%20ratio%20%5C%3A%20is%20%5C%3A%20r%20%5C%3A%20is%20%5C%3A%20equal%20%5C%3A%20%20-%203%20%5C%5C%20y%20%3D%201%20%5Ctimes%20%20%7B%28%20-%203%29%7D%5E%7Bn%7D%20)
For simple interest rate,
I=P(i)t
54=900(i)(18/12)
i=54/900*(12/18)=4% annually