urgen What is the value of x? A right triangle has a vertical hypotenuse labeled 6. A 30 degree angle is marked at the top of the triangle. A second right triangle has a leg that is the same as the side opposite the 30 degree angle of the first triangle. On the second right triangle, the hypotenuse is labeled x and an angle is labeled 45 degrees. Enter your answer, as an exact value, in the box. x =

What is the inverse of the function f(x) = 2x + 1?

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

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.