Aparallelogram is shown below:

part a: what is the area of the parallelogram? show your work. (5 points)

part b: how can you decompose this parallelogram into two triangles? if this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

The actual length of side t is 0.045 cm. use the scale drawing to find the actual side length of w. a) 0.06 cm b) 0.075 cm c) 0.45 cm d) 0.75 cm

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.