Geometry Functions Questions

Question 1Solve.
A car wheel has a 16-inch radius. Through what
angle (to the nearest tenth of a degree) does
the wheel turn when the car rolls forward 4 ft?
O 176.9°
O 171.9°
O 181.9°
186.9°
5 pts
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Submit Quiz1. Outside temperature over the course of a day can be modeled as a sinusoidal function.
Suppose you know the temperature is -18 degrees at midnight and the high and low
temperature during the day are -30 and -6 degrees, respectively. Assuming t is the
number of hours since midnight, find a function for the temperature, D, in terms of t and find
the temperature at 6 am.
2. A Ferris wheel is 45 meters in diameter and boarded from a platform that is 2 meters
above the ground. The six o’clock position on the Ferris wheel is level with the
loading platform. The wheel completes 1 full revolution in 8 minutes. The function
h(t) gives your height in meters above the ground t minutes after the wheel begins to
turn.
a. Find a formula for the height function h(t)
b. How high are you off the ground after 4 minutes?
3. Write a function to represent this solid line graph. The dotted graph is there for your
reference.
TT/4
-3
(-3,-1)
-9TT/4
4. Evaluate: sin
-3TT/2
-3TT/4
0
arctan (-))
5. Perform a partial fraction decomposition on
x² + y² = 16
6. Solve this system: (9x² – 16y² = 144
7. Use mathematical induction to prove
(0, -1)
3TT/4
3TT/2
9TT/4
(3π/2,-5)
3TT
2 + 6 + 10 ++ (4n − 2) = 2n²
(37, -1)
5x³+6x²+12x+28
x4+4x²
15/4
91
8. Solve for x =14x5n = 7
9. Find all solutions of: tan(x) sin(x) – tan(x) = 0
10. A 159 foot tower is located on a hill that is inclined 36° to the horizontal. A guy-wire is to be
attached to the top of the tower and anchored at a point 74 feet downhill from the base of the
tower. Find the length of wire needed. You may want to refer to p 511 for a diagram.