Two Sides and an Angle Are Given $$\mathrm { a } = 7 , \quad \mathrm {~b} = 9 , \quad \beta = 49 ^ { \circ }$$

question 102

Multiple Choice

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no
triangle at all. Solve any triangle(s) that results.
- $$\mathrm { a } = 7 , \quad \mathrm {~b} = 9 , \quad \beta = 49 ^ { \circ }$$

• A) two triangles
• \[\begin{array} { l }
• \alpha _ { 1 } = 76.01 ^ { \circ } , \gamma _ { 1 } = 54.99 ^ { \circ } , \mathrm { c } _ { 1 } = 7.60 \text { or } \\
• \alpha _ { 2 } = 103.99 ^ { \circ } , \gamma _ { 2 } = 27.01 , \mathrm { c } _ { 2 } = 12.14
• \end{array}\]
• B) one triangle
• \[\alpha = 35.94 ^ { \circ } , \gamma = 95.06 ^ { \circ } , \mathrm { c } = 11.88\]
• C) one triangle
• \[\alpha = 76.01 ^ { \circ } , \gamma = 54.99 ^ { \circ } , \mathrm { c } = 7.60\]
• D) no triangle

Assess how insurable interest affects the ability to insure goods against damage or loss.

Recognize the role of classical conditioning in everyday experiences, including taste aversions, phobias, and advertising.

Identify seminal studies and researchers in the field of classical conditioning like Pavlov's dog, Watson and Rayner's Little Albert, and Garcia's taste aversion.

Grasp the concept of operant conditioning, including reinforcement (positive and negative), punishment, and the law of effect.

---

Definitions:

Excludable

A characteristic of a good or service that allows its owner to prevent others from using it without permission.

Nonrival

A characteristic of a good whereby one person's consumption does not diminish the availability of the good for consumption by others.

Marginal Social Cost

The additional cost incurred by society as a whole due to the production of one extra unit of a good or service.

Socially Optimal

A state or outcome in which the total benefits to society are maximized, taking into account all costs and benefits, both private and external.