A flagpole casts a shadow of 18.90 meters long. Tim stands at a distance of 11.85 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flag pole's shadow. If Tim is 1.74 meters tall,
determine and state the height of the flagpole to the nearest tenth of a meter.

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.

Lv beethoven software supplies customized software to a managed healthcare system. lv beethoven software's costs for the software is $1,723,000. lv beethoven software sells the software to the healthcare system for $3,816,981.10. overhead expenses are estimated at 47% of the selling price. what is lv beethoven software's net profit to the nearest dollar?

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.