Arectangle is placed around a semicircle as shown below. the length of the rectangle is 14mm . find the area of the shaded region. use the value 3.14 for pie , and do not round your answer. be sure to include the correct unit in your answer.

Atrain leaves little? rock, arkansas, and travels north at 90 kilometers per hour. another train leaves at the same time and travels south at 80 kilometers per hour. how long will it take before they are 680 kilometers? apart?

What is the value of n in the equation -1/2(2n+4)+6=-9+4(2n+1)

Acentral angle measuring 160 degrees intercepts an arc in a circle whose radius is 4. what is the length of the arc the circle formed by this central angle? round the length of the arc to the nearest hundredth of a unit. a) 4.19 units b) 6.28 units c) 12.57 units d) 12.57 square units