Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: 
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:

So, the height of right circular cone is h = 15.416 cm
Answer:
First question: -0.577 cannot be a probability.
Second question: The number must be between 0 and 1, inclusive (D)
Third question: -0.577 cannot be a probability.
Step-by-step explanation:
A probability is a real number that is in the interval [0, 1]. Therefore, any number outside this range cannot be considered a probability. Under this premise:
First question: -0.577 cannot be a probability.
Second question: The number must be between 0 and 1, inclusive (D)
Third question: -0.577 cannot be a probability.
Seca(1-sina)(seca+tana)=1
Left hand side
=(1-sina) (seca +tana) / cosa
=seca +tana - sinaseca - sinatan / cosa
=seca + tana -tana -(sin^2a/cosa) / cosa
=(1/cosa - sin^2a/cosa) / cosa
= (1-sin^2a / cosa) / cosa
= (1-sin^2a)/ (cos^2a)
=1 (verified)