91Ó°ÊÓ

Find the angle \(\theta\) between the given vectors to the nearest tenth of a degree. \(\mathbf{U}=4 \mathbf{i}+5 \mathbf{j}, \mathbf{V}=7 \mathbf{i}-4 \mathbf{j}\)

The following information refers to triangle \(A B C\). In each case, find all the missing parts.\(B=57^{\circ}, C=31^{\circ}, a=7.3 \mathrm{~m}\)

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in terms of the unit vectors \(\mathbf{i}\) and \(\mathbf{j}\). $$(5,-4)$$

Find the angle \(\theta\) between the given vectors to the nearest tenth of a degree. \(\mathbf{U}=-3 \mathbf{i}+5 \mathbf{j}, \mathbf{V}=6 \mathbf{i}+3 \mathbf{j}\)

Each of the following problems refers to triangle \(A B C\). In each case, find the area of the triangle. Round to three significant digits. $$ a=23 \text { inches, } b=34 \text { inches, } c=45 \text { inches } $$

Solve each of the following triangles. $$ b=63.4 \mathrm{~km}, c=75.2 \mathrm{~km}, A=124^{\circ} 40^{\prime} $$

The following information refers to triangle \(A B C\). In each case, find all the missing parts.\(A=43^{\circ} 30^{\prime}, C=120^{\circ} 30^{\prime}, a=3.48 \mathrm{ft}\)

Solve each of the following triangles. $$ a=4.38 \mathrm{ft}, b=3.79 \mathrm{ft}, c=5.22 \mathrm{ft} $$

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in terms of the unit vectors \(\mathbf{i}\) and \(\mathbf{j}\). $$(-1,-5)$$

Each of the following problems refers to triangle \(A B C\). In each case, find the area of the triangle. Round to three significant digits. $$ a=4.8 \mathrm{yd}, b=6.3 \mathrm{yd}, c=7.5 \mathrm{yd} $$