Find the Missing Parts of the Triangle A) $b = 11.2 \mathrm { ft } , \mathrm { A } = 77 ^ { \circ } 49 ^ { \prime } , \mathrm { C } = 38 ^ { \circ } 41 ^ { \prime }$

question 173

Multiple Choice

Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
- $$\begin{array} { l } \mathrm { B } = 63 ^ { \circ } 30 ^ { \prime } \\\mathrm { a } = 12.2 \mathrm { ft } \\\mathrm { c } = 7.8 \mathrm { ft }\end{array}$$

• A) \(b = 11.2 \mathrm { ft } , \mathrm { A } = 77 ^ { \circ } 49 ^ { \prime } , \mathrm { C } = 38 ^ { \circ } 41 ^ { \prime }\)
• B) No triangle satisfies the given conditions.
• C) \(\mathrm { b } = 12.2 \mathrm { ft } , \mathrm { A } = 75 ^ { \circ } 07 ^ { \prime } , \mathrm { C } = 41 ^ { \circ } 23 ^ { \prime }\)
• D) \(b = 13.2 \mathrm { ft } , \mathrm { A } = 73 ^ { \circ } 07 ^ { \prime } , \mathrm { C } = 37 ^ { \circ } 23 ^ { \prime }\)

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Definitions:

Correlation

A statistical measure that expresses the extent to which two variables change together, ranging from -1 to +1.

Null and Alternative Hypotheses

The null hypothesis is a statement of no effect or no difference, and the alternative hypothesis is what we aim to support, indicating some effect or difference.

Multiple Regression Model

A statistical methodology that incorporates several explanatory variables to deduce the future value of a dependent variable.

Coefficient

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., in linear regression).