Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { C } = 35 ^ { \circ } 30 ^ { \prime } \\\mathrm { a } = 18.76 \\\mathrm { c } = 16.15\end{array}$$

question 154

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { C } = 35 ^ { \circ } 30 ^ { \prime } \\\mathrm { a } = 18.76 \\\mathrm { c } = 16.15\end{array}$$
If necessary, round side lengths to the nearest hundredth.

• A) \(\mathrm { A } = 42 ^ { \circ } 25 ^ { \prime } , \mathrm { B } = 102 ^ { \circ } 05 ^ { \prime } , \mathrm { b } = 25.19\)
• B) \(\mathrm { A } _ { 1 } = 42 ^ { \circ } 25 ^ { \prime } , \mathrm { B } _ { 1 } = 102 ^ { \circ } 05 ^ { \prime } , \mathrm { b } _ { 1 } = 27.2\);
• \[\mathrm { A } _ { 2 } = 137 ^ { \circ } 35 ^ { \prime } , \mathrm { B } _ { 2 } = 6 ^ { \circ } 55 ^ { \prime } , \mathrm { b } _ { 2 } = 3.35\]
• C) no such triangle
• D) \(\mathrm { A } _ { 1 } = 102 ^ { \circ } 05 ^ { \prime } , \mathrm { B } _ { 1 } = 42 ^ { \circ } 25 ^ { \prime } , \mathrm { b } _ { 1 } = 17.52\);
• \(\mathrm { A } _ { 2 } = 6 ^ { \circ } 55 ^ { \prime } , \mathrm { B } _ { 2 } = 137 ^ { \circ } 35 ^ { \prime } , \mathrm { b } _ { 2 } = 26.19\)

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Definitions:

Marginal Product

The additional output that results from the use of one more unit of a production input, holding all other inputs constant.

Nonlabor Resources

Inputs used in the production of goods and services that do not involve human labor, such as capital, land, and natural resources.

Average Product

The output per unit of input, such as labor or capital, calculated by dividing total production by the number of input units.

Nonlabor Resources

Assets or inputs in production that are not related to direct human labor, such as machinery, raw materials, and land.