An architect is designing a new library. The library’s floor plan is a rectangle divided into a bookshelf space with bookshelves, and a reading space with a rug and chairs. Each bookshelf is x ft wide and x + 3 ft long. The bookshelves are 3 ft from each other. The walkway between the two rows of bookshelves is 2 ft wide.

The step function g(x) is defined as shown. what is the range of g(x)? ***answer choices in picture.

What is the arc length when θ =pi over 3 and the radius is 5 cm? (5 points) 5 pi over 3 cm 10 pi over 3 cm 16 pi over 3 cm pi over 3 cm

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.