Pregunta
(b) Evaluate \( \frac{4.5\left(\cos 30^{\circ}\right)}{\sqrt{3}}-2 \)
Ask by Mathis Hammond. in Singapore
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The evaluated result is 0.25.
Solución
1. Substitute \(\cos 30^\circ = \frac{\sqrt{3}}{2}\) into the expression:
\[
\frac{4.5\left(\cos 30^\circ\right)}{\sqrt{3}} - 2 = \frac{4.5\left(\frac{\sqrt{3}}{2}\right)}{\sqrt{3}} - 2.
\]
2. Simplify the fraction by canceling \(\sqrt{3}\):
\[
\frac{4.5\left(\frac{\sqrt{3}}{2}\right)}{\sqrt{3}} = \frac{4.5}{2}.
\]
3. Calculate the division:
\[
\frac{4.5}{2} = 2.25.
\]
4. Subtract 2:
\[
2.25 - 2 = 0.25.
\]
Thus, the evaluated result is \(0.25\).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Mind Expander
To evaluate \( \frac{4.5\left(\cos 30^{\circ}\right)}{\sqrt{3}}-2 \), we start by finding \( \cos 30^{\circ} \), which is \( \frac{\sqrt{3}}{2} \). Now substituting this value into the equation: \[ \frac{4.5\left(\frac{\sqrt{3}}{2}\right)}{\sqrt{3}} - 2 \] This simplifies to: \[ \frac{4.5\sqrt{3}/2}{\sqrt{3}} - 2 \] The \( \sqrt{3} \) in the numerator and denominator cancels out, leaving us with: \[ \frac{4.5}{2} - 2 \] Calculating \( \frac{4.5}{2} \) yields \( 2.25 \): \[ 2.25 - 2 \] Finally, \( 2.25 - 2 = 0.25 \). So, the evaluated expression is \( 0.25 \).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
