Triangle $abc$ and triangle $def$ are congruent, isosceles right triangles. the square inscribed in triangle $abc$ has an area of 15 square centimeters. what is the area of the square inscribed in triangle $def$? express your answer as a common fraction.

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 units.

About time delivery co. incurred the following costs related to trucks and vans used in operating its delivery service: classify each of the costs as a capital expenditure or a revenue expenditure. 1. changed the oil and greased the joints of all the trucks and vans. 2. changed the radiator fluid on a truck that had been in service for the past four years. 3. installed a hydraulic lift to a van. 4. installed security systems on four of the newer trucks. 5. overhaul the engine on one of the trucks purchased three years ago. 6. rebuilt the transmission on one of the vans that had been driven 40,000 miles. the van was no longer under warranty. 7. removed a two-way radio from one of the trucks and installed a new radio with a greater range of communication. 8. repaired a flat tire on one of the vans. 9. replaced a truck's suspension system with a new suspension system that allows for the delivery of heavier loads. 10. tinted the back and side windows of one of the vans to discourage theft of contents.

Ireally need with these questions.6. what level of job security do athletes and sports competitors have? why do you think this is? 22. do you think a musician has more job security than an athlete? explain.37. what is the difference between a public relations specialist and a marketing professional? 47. do you think gender inequalities still exist in the sports industry? explain.50. what are the advantages and disadvantages of labor unions? do you think labor unions are fair to employers? how might they be taken advantage of?