The shaded figure below is a diagram of a triangular tabletop.

A triangle has a base of 192 centimeters and a height of 113 centimeters.

Which two measures can be used as the base and height when finding the area of the tabletop?
113 cm and 140 cm
113 cm and 192 cm
159 cm and 140 cm
159 cm and 192 cm

Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.

Identify the function that contains the data in the following table: x     -2         0         2         3         5     f(x)     5         3         1         2         4     possible answers: f(x) = |x| + 1 f(x) = |x - 2| f(x) = |x - 2| - 1 f(x) = |x - 2| + 1