Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
Answer:
The correct option is;
H. 32·π
Step-by-step explanation:
The given information are;
The time duration for one complete revolution = 75 seconds
The distance from the center of the carousel where Levi sits = 4 feet
The time length of a carousel ride = 5 minutes
Therefore, the number of complete revolutions, n, in a carousel ride of 5 minutes is given by n = (The time length of a carousel ride)/(The time duration for one complete revolution)
n = (5 minutes)/(75 seconds) = (5×60 seconds/minute)/(75 seconds)
n = (300 s)/(75 s) = 4
The number of complete revolutions - 4
The distance of 4 complete turns from where Levi seats = 4 ×circumference of circle of Levi's motion
∴ The distance of 4 complete turns from where Levi seats = 4 × 2 × π × 4 = 32·π.
Answer:
every answer except -40 and -20
answer:-77,-100,-45
3x+(x-2)=10
4x=12
x=12/4=3
y=x-2=3-2=1
so, x=3 and y=1
Answer: (3;1)
The set of numbers that 3.1214122144 belongs to is called the Irrational numbers. We know this because this number it is not an integer, since it has a fractional part and also is not a whole number. Rational numbers can be decimals but they are terminating decimals. This number is irrational because <span>is a non ending decimal number.</span>