LORAN follows an hyperbolic path.
The equation of the hyperbola is: 
The coordinates are given as:
The center of the hyperbola is
The distance from the center to the focal points is given as:
Square both sides
The distance from the receiver to the transmitters is given as:
Divide both sides by 2
Square both sides
We have:
This gives
The equation of an hyperbola is:
So, we have:
Hence, the equation of the hyperbola is:
Read more about hyperbolas at:
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Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
Use a portion of the circumference: pi x 2 x r x angle at centre =8xpix72/360 =8pi/5
Answer: 41 2 point shots
Step-by-step explanation: First multiply 41 times 2 since it is two games. Next divide that number by two. Since you don’t have any left over it is just 41.
41 x 2 = 82
82 ÷ 2 = 41
