Homework # 3 - Math 149
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. One angle in a right-angled triangle measures 20o, and the side opposite to that angle measures 15 cm. To the nearest tenth of a centimeter, find the length of the side adjacent to given angle. In this course, please include units in your answers when there are units in the question.
a. 41.2 cm
b. 5.5 cm
c. 43.9 cm
d. 16.0 cm
e. 5.1 cm
2. Solve \(\frac{x^2 - 2x - 3}{x^2 - 6x + 5} \geq 0\).
a. \([0, \infty)\)
b. \((-\infty, -1) \cup (1, 3) \cup (5, \infty)\)
c. \((-\infty, -1] \cup (1, 3] \cup (5, \infty)\)
d. \((-\infty, -1] \cup [1, 3] \cup [5, \infty)\)
e. \((-\infty, -1) \cup [1, 3) \cup [5, \infty)\)
3. Solve \(x^3 + 4x \leq 4x^2 \).
a. \((-\infty, 0]\)
b. \((-\infty, 0)\)
c. \((-\infty, 0) \cup \{2\}\)
d. \((-\infty, 0] \cup \{2\}\)
e. \((-\infty, 0) \cup [2, \infty)\)
4. Convert \(450^o\) to radians.
a. (3/2)π
b. (2/3)π
c. (5/2)π
d. (2/5)π
e. 3/2