determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle at the left, then solve the triangle. Round your answers to two decimal places. A = 45°, B = 26°, c = 20

Will every continuous map of a square region into itself have a fixed point? Why or why not? Will every continuous map of a space consisting of two disjoint 2-cells into itself have a fixed point? Why or why not?

Write each equation in its equivalent exponential form.

$$\frac { 1 } { 2 } = \log _ { 49 } 7$$

Solve the equation. Check your solution. 18 - r = 42

Find the amplitude, period, and horizontal shift of the function, and graph one complete period.

$$y = \sin ( \pi + 3 x )$$

Write each equation of the system in slope-intercept form. By comparing slopes and y-intercepts, determine whether the equations are consistent or inconsistent.

$$\left. \begin{array} { l } { 3 x - 4 y = 12 } \\ { 4 x - 3 y = 12 } \end{array} \right.$$

Andrew is looking at a map that uses the scale 1 in. = 5 mi. On the map, the distance from Westville to Allentown is 9 in. Which proportion CANNOT be used to find the actual distance?

$$\begin{array} { l } A.{ \frac { 1 \mathrm { in } } { 5 \mathrm { mi } } = \frac { 9 \mathrm { in } } { d } } \\ B.{ \frac { 5 \mathrm { mi } } { d } = \frac { 9 \mathrm { in } } { 1 \mathrm { in } } } \end{array}\quad \begin{array} { l } C.{ \frac { d } { 9 \mathrm { in. } } = \frac { 5 \mathrm { mi } } { 1 \mathrm { in } } } \\ D.{ \frac { 5 \mathrm { mi } } {1 \mathrm { in } . } = \frac { d } { 9 \mathrm { in. } } } \end{array}$$

Sketch portions of a linear polypropylene molecule that are (a) syndiotactic, (b) atactic, and (c) isotactic.

Find the limit.

$$lim_(x→-3) x^4$$

Find (a) the GCF and (b) the LCM of the following monomials.

$$22 x y ^ { 2 } z ^ { 2 } , 33 x ^ { 2 } y z ^ { 2 } , 44 x ^ { 2 } y z$$

List the whole numbers from 1 to 10 that are divisors of 12,300.

What role does greater permeability of capillaries play in the inflammatory response?

How does the standard deviation measure the variability of scores?

Use formula (2) to find the value of each combination. C(8, 6)