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Chapter 7: Problem 29
Use Heron's formula to find the area of each triangle. Round to the nearest square unit. \(a=11\) yards, \(b=9\) yards, \(c=7\) yards
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Exercises \(119-121\) will help you prepare for the material covered in the next section. Find the obtuse angle \(\theta,\) rounded to the nearest tenth of a degree, satisfying. $$ \cos \theta=\frac{3(-1)+(-2)(4)}{| \mathbf{v}\|\mathbf{w}\|} $$ where \(\mathbf{v}=3 \mathbf{i}-2 \mathbf{j}\) and \(\mathbf{w}=-\mathbf{i}+4 \mathbf{j}\)
In calculus, it can be shown that $$e^{i \theta}=\cos \theta+i \sin \theta$$ In Exercises \(87-90,\) use this result to plot each complex number. $$ -e^{-\pi i} $$
In calculus, it can be shown that $$e^{i \theta}=\cos \theta+i \sin \theta$$ In Exercises \(87-90,\) use this result to plot each complex number. $$ e^{\frac{\pi i}{6}} $$
Test for symmetry and then graph each polar equation. $$r=2+3 \sin 2 \theta$$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. A complex number \(a+b i\) can be interpreted geometrically as the point \((a, b)\) in the \(x y\) -plane.
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