a square with a side of 10 units overlaps a square with a side of 8 units in such a way that is corner b is placed exactly at the center of the smaller Square. As a result of the overlapping, the two sides of the large Square Intersect the two sides of the small Square exactly at points C&E. The hown the length of CD is 6 units. What is the area of the overlapping region C D E B?

Arectangle has a width of 5 cm and a length of 10 cm. if the width is increased by 3, how does the perimeter change?

What function has a range {yly< 5}? question on picture above^

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.