Ahighway runs east-west between two towns c and b that are 25 km apart. town a lies 15 km directly north from c. a straight road is built from a to meet the highway at d which is equidistant from a and b. find the position of d on the highway. a highway runs east-west between two towns c and b that are 25 km apart. town a lies 15 km directly north from c. a straight road is built from a to meet the highway at d which is equidistant from a and b. find the position of d on the highway.

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3