Question
upstudy study bank question image url

(b) Evaluate \( \frac{4.5\left(\cos 30^{\circ}\right)}{\sqrt{3}}-2 \)

Ask by Mathis Hammond. in Singapore
Mar 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The evaluated result is 0.25.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

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 \( 0.25 \).

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