Question
upstudy study bank question image url

\begin{tabular}{l} Relaciona, en cada caso, la medida del ángulo con su medida \\ quivalente en radianes. \\ \( \qquad \)\begin{tabular}{|c|}\hline \( 150^{\circ} \) \\ \hline\( -135^{\circ} \) \\ \hline \( 72^{\circ} \) \\ \hline \( 100^{\circ} \) \\ \hline\( -225^{\circ} \) \\ \hline \( 450^{\circ} \) \\ \hline \( 720^{\circ} \) \\ \hline\( \frac{5 \pi}{4} \mathrm{rad} \) \\ \hline\end{tabular} \\ \\ \hline\( \frac{5 \pi}{2} \mathrm{rad} \) \\ \hline\end{tabular}

Ask by Wood Ross. in Colombia
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Aquí están las medidas de los ángulos en grados y sus equivalentes en radianes: 1. \( 150^{\circ} = \frac{5\pi}{6} \) rad 2. \( -135^{\circ} = -\frac{3\pi}{4} \) rad 3. \( 72^{\circ} = \frac{2\pi}{5} \) rad 4. \( 100^{\circ} = \frac{5\pi}{9} \) rad 5. \( -225^{\circ} = -\frac{5\pi}{4} \) rad 6. \( 450^{\circ} = \frac{5\pi}{2} \) rad 7. \( 720^{\circ} = 4\pi \) rad 8. \( \frac{5\pi}{4} \) rad = \( 225^{\circ} \) 9. \( \frac{5\pi}{2} \) rad = \( 450^{\circ} \)

Solution

Rewrite the angle by following steps: - step0: Convert to radians: \(100^{\circ}\) - step1: Convert to radians: \(\frac{5\pi }{9}\) Rewrite the number \( 450^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(450^{\circ}\) - step1: Convert to radians: \(\frac{5\pi }{2}\) Rewrite the number \( \frac{5\pi}{2} \). Rewrite the angle by following steps: - step0: Convert to degrees: \(\frac{5\pi }{2}\) - step1: Convert to degrees: \(450^{\circ}\) Rewrite the number \( 720^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(720^{\circ}\) - step1: Convert to radians: \(4\pi \) Rewrite the number \( -225^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(-225^{\circ}\) - step1: Convert to radians: \(-\frac{5\pi }{4}\) Rewrite the number \( \frac{5\pi}{4} \). Rewrite the angle by following steps: - step0: Convert to degrees: \(\frac{5\pi }{4}\) - step1: Convert to degrees: \(225^{\circ}\) Rewrite the number \( -135^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(-135^{\circ}\) - step1: Convert to radians: \(-\frac{3\pi }{4}\) Rewrite the number \( 150^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(150^{\circ}\) - step1: Convert to radians: \(\frac{5\pi }{6}\) Rewrite the number \( 72^{\circ} \). Rewrite the angle by following steps: - step0: Convert to radians: \(72^{\circ}\) - step1: Convert to radians: \(\frac{2\pi }{5}\) Aquí están las medidas de los ángulos en grados y sus equivalentes en radianes: 1. \( 150^{\circ} \) es equivalente a \( \frac{5\pi}{6} \) rad. 2. \( -135^{\circ} \) es equivalente a \( -\frac{3\pi}{4} \) rad. 3. \( 72^{\circ} \) es equivalente a \( \frac{2\pi}{5} \) rad. 4. \( 100^{\circ} \) es equivalente a \( \frac{5\pi}{9} \) rad. 5. \( -225^{\circ} \) es equivalente a \( -\frac{5\pi}{4} \) rad. 6. \( 450^{\circ} \) es equivalente a \( \frac{5\pi}{2} \) rad. 7. \( 720^{\circ} \) es equivalente a \( 4\pi \) rad. 8. \( \frac{5\pi}{4} \) rad es equivalente a \( 225^{\circ} \). 9. \( \frac{5\pi}{2} \) rad es equivalente a \( 450^{\circ} \). Si necesitas más información o ayuda, no dudes en preguntar.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

¡Claro! Relacionar grados con radianes es más fácil de lo que piensas. Primero, recuerda que \(180^{\circ}\) es igual a \(\pi\) radianes. Con esta equivalencia, aquí tienes las conversiones: - \(150^{\circ}\) equivale a \(\frac{5\pi}{6} \mathrm{rad}\). - \(-135^{\circ}\) se convierte en \(-\frac{3\pi}{4} \mathrm{rad}\). - \(72^{\circ}\) es igual a \(\frac{2\pi}{5} \mathrm{rad}\). - \(100^{\circ}\) corresponde a \(\frac{5\pi}{9} \mathrm{rad}\). - \(-225^{\circ}\) es \(-\frac{5\pi}{4} \mathrm{rad}\). - \(450^{\circ}\) equivale a \(\frac{5\pi}{2} \mathrm{rad}\). - \(720^{\circ}\) se traduce a \(4\pi \mathrm{rad}\). - \(\frac{5 \pi}{4} \mathrm{rad}\) es igual a \(-135^{\circ}\). - \(\frac{5 \pi}{2} \mathrm{rad}\) corresponde a \(450^{\circ}\). Recuerda sumar o restar \(360^{\circ}\) o \(2\pi\) radianes al trabajar con ángulos fuera del rango estándar. ¡Diviértete con las matemáticas!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy