Juan and carl are examining 2 figures, a triangular prism and a rectangular prism. the cross sections of the two shapes have the same area. juan claims that these two shapes will also have the same volume. carl disagrees, stating that more information is needed in order to determine the volume. who is correct and why? (5 points)
a) juan is correct because of cavalieri's principle.
b) carl is correct because cavalieri's principle only covers figures with the same height and the height was not given.
c) juan is correct because figures with the same cross sectional area will always have the same volume.
d) carl is correct because you must calculate the volume of each figure before you can compare them.

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Of the ones listed here, the factor that had the greatest impact on the eventual destruction of native americans' ways of life was the development of the a) automobile. b) highway. c) railroad. d) steamboat.

Two planes leave an airport at the same time, one flying east, the other flying west. the eastbound plane travels 20 mph slower. they are 1600 mi apart after 2 hr. find the speed of each plane.