A Bridge Has a Main Span of About 1400 Meters

question 109

Multiple Choice

A bridge has a main span of about 1400 meters. Each of its towers has a height of about 146 meters. Approximate the length of a parabolic cable along the main span if the length C of $\text { the cable is given by } C = 2 \int _ { 0 } ^ { w } \sqrt { 1 + \left( 4 h ^ { 2 } / w ^ { 4 } \right) x ^ { 2 } } d x \text {. Round your answer to one decimal place. }$

• A)719.8 meters
• B)759.4 meters
• C)2120.7 meters
• D)1439.6 meters
• E)2879.2 meters

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Definitions:

Stem-and-Leaf Display

A graphical method of displaying quantitative data to show its shape and distribution, combining aspects of a histogram and scatter plot.

Data Set

A collection of data points or values related to a subject.

Leaf

In the context of data representation, a part of a stem-and-leaf plot representing the smallest significant digit of data points.

Stem-and-Leaf Display

A graphical method used to represent quantitative data where each data value is split into a "stem" (the leading digit(s)) and a "leaf" (the last digit).