Two campers leave their campsite at point a to go on a hike. camper one heads east for 3 miles, then heads north 3 miles to point b. camper two heads north for 2 miles and then east for 5 miles to point c. referencing the triangle formed by a, b, and c, m∠b=108.43° and ac = 5.39. if the final distance between the two campers ends up being 2.24 miles, find the angle between the paths they traveled. round the answer to the nearest degree. a.23° b.34° c.37° d.49°

Twice the sum of a number and 4 is equal to three times the difference of the number and 7. find the number.

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.