5-28. sophie claims that whenever she increases the perimeter of a rectangle, its area increases. 5-28 hw etool homework ✎ a. she showed the rectangle at right and said, “if i make the base twice as long, then the area increases.” is her statement correct for this figure? draw a diagram of the rectangle she described and explain whether the area is greater or less than the rectangle at right.
b. is her claim about the relationship of area and perimeter correct for all figures? for example, is there any way that she could have a rectangle with a greater perimeter than the figure in part (a) but with the same area? give examples and explain your reasoning.

Abouncy ball is released from a certain height. on the first bounce, it travels 32cm. with each subsequent bounce, it travels 9/10 the distance of the previous bounce. what is the total distance that the ball has traveled when it completes its 25th bounce?

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

The legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotonuse.