To find: the dimensions of each ram.
The dimensions of the right ramp are
Length:
Height:
Width:
The dimensions of the left ramp are
Length:
Height:
Width:
Given information:
Right ramp is half as long as left ramp. If the two ramps are constructed using
Calculation:
The total length of the ramp,
expressions results to
Thus, the total length of the ramp that is cemented is
It is given that the left ramp is twice as long as the right ramp. Dividing the total length of the ramp that is cemented by
Thus, the length of the right ramp is
The volume of the left ramp is half the volume of a rectangular box (i.e., the ramp is triangular) with a length of
Thus, the volume of the left ramp is
The volume of the right ramp is half that of a box that is rectangular and measures
Thus, the volume of the right ramp is
Given that
To solve the equation
The graph in red was created using graphing software and shows
The solution to the equation
equation is
With
length:
height:
width:
With
length:
height:
width:
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education