Find the Angle $\alpha$ Between Two Nonvertical Lines $L _ { 1 }$

question 28

Multiple Choice

Find the angle $\alpha$ between two nonvertical lines $L _ { 1 }$ and $L _ { 2 }$ .The angle $\alpha$ satisfies the equation? $\tan \alpha = \left| \frac { m _ { 2 } - m _ { 1 } } { 1 + m _ { 2 } m _ { 1 } } \right|$ ? where $m _ { 1 }$ and $$m _ { 2 }$$ are slopes of $L _ { 1 }$ and $L _ { 2 }$ ,respectively.
(Assume that $$m _ { 1 } m _ { 2 } \neq 1$$ . )
?? $L _ { 1 } : 2 x - y = 8$ $L _ { 2 } : x - 5 y = - 4$ ?
Round your answer to one decimal place.
?

• A)54.1^o
• B)?53.1^o
• C)55.1^o
• D)52.1^o
• E)56.1o

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Definitions:

Discount Rate

In discounted cash flow analysis, it's the rate used to bring future cash flows down to their present worth.

Accounting Break-even Quantity

The number of units that must be sold to cover all costs, both fixed and variable, with no profit or loss.

Variable Costs

Outgoings that are contingent upon the scale of production operations.

Fixed Costs

These are expenses that do not change with the level of production or sales, such as rent, salaries, and insurance premiums.