<span>8 + 18a - 2 + 6a
= 24a + 6
answer is </span><span>D. 24a+6</span>
Just use desmos! it works really good!
y = abx
Point (1, 4): 4 = ab
Point (3, 16): 16 = ab^3
From 4=ab we have a = 4/b
Substitute into 2nd equation
16 = (4/b)b^3
16 = 4b^2
4 = b^2
2 = b
a = 4/b = 4/2 = 2
An exponential function that fits is: y = 2(2^x)
check: x=1; y = 2(21) = 4 ... point (1, 4)
x=3: y = 2(23) = 2(8) = 16 ... point (3, 16)
Answer:
10.39 ft²
Step-by-step explanation:
To answer the question, we need to know the following;
- A regular polygon is a polygon whose sides are equal
- A hexagon is a six sided polygon
- A regular hexagon is a polygon with six equal sides
In this case, the length of one side of the hexagon is 2ft
We are required to determine the area of the hexagon;
We need to determine the number of triangles we can divide an hexagon into triangles from its center, then determine the center angle of each triangle.
Center angle = 360° ÷ 6
= 60°
Therefore, we have six isosceles triangles whose base side is 2 ft in length and the one angle at the top is 60°
Dividing the a triangle into two we have two right angled triangle each with an angle of 30° and one of the shorter side as 1 ft.
Using trigonometric ratios we can determine the other side.
tan 30 = opp/adj. opposite is 1 side
Adj = 1 ft ÷ tan 30
= 1.732 ft
Therefore, the area of each triangle = 0.5 × 1 ft × 1.732 ft × 2
= 1.732 ft²
Therefore, the area of a hexagon = 6 × 0.5 × 1 ft × 1.732 ft
= 10.392 ft²
Thus, the area of the hexagon is 10.39 ft²
