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The Phases of the Moon Can Be Described Using the Phase

question 5

Multiple Choice

The phases of the moon can be described using the phase angle $\theta$ , determined by the sun, the moon, and the Earth, as shown in the figure. Because the moon orbits Earth, $\theta$ changes during the course of a month. The area of the region A of the moon, which appears illuminated to an observer on Earth, is given by $A = \frac { 1 } { 2 } \pi R ^ { 2 } ( 1 + \cos \theta )$ , where R = 1,080 mi is the radius of the moon. Approximate A for the following position of the moon: $The phases of the moon can be described using the phase angle \theta , determined by the sun, the moon, and the Earth, as shown in the figure. Because the moon orbits Earth, \theta changes during the course of a month. The area of the region A of the moon, which appears illuminated to an observer on Earth, is given by A = \frac { 1 } { 2 } \pi R ^ { 2 } ( 1 + \cos \theta ) , where R = 1,080 mi is the radius of the moon. Approximate A for the following position of the moon: \theta = 84 ^ { \circ } A) A = 8,094,766 mi 2 B) A = 3,654,317 mi 2 C) A = 586,254 mi 2 D) A = 3,175,511 mi 2 E) A = 2,023,691 mi 2 $ $\theta = 84 ^ { \circ }$

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Dopamine

A neurotransmitter involved in many functions, including motivation, reward, and the regulation of movement.

Personality Dimension

A continuum along which individual differences in characteristics or behaviors can be analyzed and described.

Extraversion

A personality trait characterized by outgoing, high levels of social behavior, energy, and positive emotions.

Agreeableness

A personality trait characterized by being friendly, compassionate, and cooperative towards others.