Atriangle drawn on a map has sides sides of lengths 9.0 cm, 12 cm, and 14 cm. the shortest of the corresponding real-life distance is 94 km. find the longest of the real-life distances. round to the nearest unit.

Approximately 146 km

Step-by-step explanation:

The triangle drawn on the map is drawn to a certain scale. The triangle on the map is similar to the triangle in real life. This means that the distances on the map corresponds to the distances in the real life .

Ratio of the distance of the longest side on the map to the distance of the longest side in real life = ratio of the distance of the shortest side on the map to the distance of the shortest side in real life = ratio of the distance of the third side on the map to the distance of the third side in real life.

The shortest side on the map is 9cm

The longest side on the map is 14cm

Let the longest side in real life be x km

Therefore,

9/94 = 14/x

9x = 94 × 14 = 1316

x = 1316/9 = 146.22 km

Approximately 146 km

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!