Answer:

Step-by-step explanation:
We want to write the trignometric expression:

As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:

Take the secant of both sides:

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

By substitutition:

Using an double-angle identity:

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

Simplify. Therefore:

Answer:
Step by step explanation:help
Answer: 180 ft^3
Step-by-step explanation:
Answer:
18.86 feet
Step-by-step explanation:
One rotation of the tire is equal to the circumference of the tire
The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd
where
π = 22/7
d = diameter
The size of one revolution = 2 x 22/7 = 44/7 feet
The distance covered in one rotation of the tire is 44/7 feet
The distance covered in 3 rotations = (44/7) x 3 = 18.86 feet