Solve the problem.A bridge is built in the shape of a semielliptical arch. It has a span of 106 feet. The height of the arch 29 feet from the center is to be 6 feet. Find the height of the arch at its center.

A. 29.19 ft
B. 10.97 ft
C. 7.17 ft
D. 6.24 ft


Answer: C

Mathematics

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The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.Two earthquakes differ by 0.1 when measured on the Richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter?

A. The earthquake of greater magnitude has a seismographic reading that is 100 times that of the lesser earthquake.
B. The earthquake of greater magnitude has a seismographic reading that is 10 times that of the lesser earthquake.
C. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
D. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.

Mathematics

Find the surface area or volume.Use an integral table and a calculator to find to two decimal places the area of the surface generated by revolving the curve   about the x-axis.

A. 69.52 B. 97.76 C. 85.31 D. 119.48

Mathematics

Solve the problem.Trains S and T are both traveling in the same direction. Their distance in miles North of Denver after x hours are computed by the functions fS and fT, respectively, and their graphs are shown in the figure for  During what time interval is Train T closer to Denver than Train S? 

A. after 3.3 hours, or x > 3.3 B. between 3.3 and 8 hours, or 3.3 < x ? 8 C. always, or x ? 0 D. between 0 and 3.3 hours, or 0 ? x < 3.3

Mathematics

Multiply.

A. 157,157 B. 158,259 C. 158,058 D. 158,158

Mathematics