Answer:
3/4 of the area of the circle is of 
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
In which the center is 
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:
Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:
Area of the circle:
What is 3/4 of its area?
3/4 of the area of the circle is of squared units.
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer:
125
Step-by-step explanation:
Yes, it would only be irrational if the numbers had no end, (not repeating like .6666666…)
decimals that end, or repeat the same pattern are rational numbers.
