Solve the System to Find W₁ and W₂ $W _ { 1 } = 192 \mathrm { lb } ; W _ { 2 } = 235.15 \mathrm { lb }$

question 419

Multiple Choice

Solve the system to find W₁ and W₂.
-Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If
A 192-pound force is applied at the peak of the truss, then the forces or weights W1 and W2
Exerted parallel to each rafter of the truss are determined by the following linear system of
Equations.

• A) \(W _ { 1 } = 192 \mathrm { lb } ; W _ { 2 } = 235.15 \mathrm { lb }\)
• B) \(W _ { 1 } = 172.14 \mathrm { lb } ; W _ { 2 } = 140.55 \mathrm { lb }\)
• C) \(W _ { 1 } = 140.55 \mathrm { lb } ; W _ { 2 } = 172.14 \mathrm { lb }\)
• D) \(\mathrm { W } _ { 1 } = 70.28 \mathrm { lb } ; \mathrm { W } _ { 2 } = 86.07 \mathrm { lb }\)

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Definitions:

Net Present Value

A financial analysis technique used to estimate the viability of projects or investments by discounting expected future cash flows to their present value.

Payback Period

The duration of time it takes to recoup the initial investment in a project or asset.

Cash Inflows

Cash Inflows are the money or cash received by a business from its various activities, including sales, investments, financing, etc.

Profitability Index

A capital budgeting tool that measures the ratio of the present value of future cash flows generated by an investment to the initial investment cost, used to assess the profitability.