Ruth borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Ruth paid for the book when she returned it x days after the due date:

2 + 0.25x

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

What is the area of the shaded sector?

The 40th parallel of north latitude runs across the united states through philadelphia, indianapolis, and denver. at this latitude, earth’s radius is about 3030 miles. the earth rotates with an angular velocity of latex: \frac{\pi}{12} π 12 radians (or 15°) per hour toward the east. if a jet flies due west with the same angular velocity relative to the ground at the equinox, the sun as viewed from the jet will stop in the sky. how fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen? show your work and explain your process.