Let x = the other rational number.
x(66/7) = (48/5)
Solve for x to find your answer.
If D is the midpoint of GH, then GH equals 2(DH) = 16
16 = 4x - 1
4x = 17
x = 17/4
x = 4.25
Answer:
Point B
Step-by-step explanation:
a point of tangency on a circle is where an outside line touches the outer circle at one point (the outside line touching it only once is what makes that line a tangent) so in this case the point of tangency is Point B
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The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:


2. We can use the unitary circle and the fact that

, so we can rewrite our expression as follows:



From our unitary circle we can check that

and

.
Lets replace those values in our expression and simplify:



Either way we can conclude that the correct answer is:
D)8.7