Answer:
The ride lasts 10 minutes.
Step-by-step explanation:
The triangle that is formed is attached.
In order to find out how long the ride lasts, we need to figure out the horizontal distance
From trigonometry we have:
Therefore
Now the amount of time the gondola ride lasts is equal to the distance
divided by the speed of the gondola:
To the nearest minute this is 10 minutes.
Answer:
Step-by-step explanation:
A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).
The parametrization for the helix is
where is the radius of the helix,
is the constant, and
is the parameter
Question:
Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2
Answer:
Part a:
Part b:
Part c:
Part d:
Explanation:
Part a: Substituting , we get,
The value of is less than
Thus,
Part b: Substituting , we get,
The value of and
are equal.
Thus,
Part c: Substituting , we get,
The value of is less than
Thus,
Part d: Substituting , we get,
The value of is less than
Thus,