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:

Rate of Return

The gain or loss of an investment over a specified time period, expressed as a percentage of the investment's initial cost.

Monthly Withdrawals

Regular amounts of money taken out of an account, investment, or fund each month, often for retirement income or savings spending.

Compounded Monthly

Refers to the process of calculating interest earnings on a principal amount, where the interest is added back to the principal sum each month, leading to interest earnings on interest.

Discount Rate

It's the interest rate applied in calculations of DCF to find out the current market value of predicted cash flows.