Solve the Problem B) C) D)

question 291

Multiple Choice

Solve the problem.
-A rectangle has its center at the origin. It has two sides of length 4 a which are parallel to the horizontal axis and two sides of length 2 a parallel to the vertical axis. Find polar coordinates of the vertices.

• A) \(\approx \left( 2 a \sqrt { 5 } , 63.4 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 116.6 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 243.4 ^ { \circ } \right) , \left( 2 a \sqrt { 5 } , 296.6 ^ { \circ } \right)\)
• B) \(\approx \left( a \sqrt { 5 } , 30 ^ { \circ } \right) , \left( a \sqrt { 5 } , 150 ^ { \circ } \right) , \left( a \sqrt { 5 } , 210 ^ { \circ } \right) , \left( a \sqrt { 5 } , 330 ^ { \circ } \right)\)
• C) \(\approx \left( a \sqrt { 5 } , 26.6 ^ { \circ } \right) , \left( a \sqrt { 5 } , 153.4 ^ { \circ } \right) , \left( a \sqrt { 5 } , 206.6 ^ { \circ } \right) , \left( a \sqrt { 5 } , 333.4 ^ { \circ } \right)\)
• D) \(\approx \left( 2 \mathrm { a } \sqrt { 5 } , 26.6 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 153.4 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 206.6 ^ { \circ } \right) , \left( 2 \mathrm { a } \sqrt { 5 } , 333.4 ^ { \circ } \right)\)

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Definitions:

Deferring Responsibility

The act of postponing or shifting duties and tasks onto someone else, often to avoid accountability.

Acquire Power

The process of gaining authority or influence over others, often through strategic actions, skills, or the accumulation of resources.

Decisions

The results of decision-making processes, often leading to a specific action or strategy.

Dominating Influence

The overpowering impact or control one entity has over others in its environment.