What is the answer? 6 1/2 ÷ 3/4

Mathematics

2 answers:

german3 years ago

7 0

Answer:

The answer is 8 2/3

Step-by-step explanation:

Hope this helped! :)

kotegsom [21]3 years ago

5 0

Answer:

8 and 2/3

Step-by-step explanation:

6 1/2 turns into an improper fraction which would be 13/2.

Then you turn the division into multiplication using KCF.

KEEP the 13/2

CHANGE the division sign into multiplication

FLIP the 2/3 to its reciprocal 3/2

Then solve the multiplication equation and your answer should be 8 and 2/3.

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Answer: $\displaystyle\\\frac{2\pi }{3},\ \frac{5\pi }{3} .$

Step-by-step explanation:

$\displaystyle\\tan\theta=-\sqrt{3}\ \ \ \ 0\leq \theta\leq 2\pi \\\theta =\frac{2\pi }{3}+\pi N\ \ \ (N=0,\ 1,\ 2,\ 3\ ...)\\ N=0\\\theta=\frac{2\pi }{3} +\pi *0\\\theta=\frac{2\pi }{3}\ \ \ \ ( 0\leq \theta\leq 2\pi)\\ N=1\\\theta=\frac{2\pi }{3}+\pi *1 \\\theta=\frac{2\pi }{3} +\pi \\\theta=\frac{2\pi +3\pi }{3} \\\theta=\frac{5\pi }{3} \ \ \ ( 0\leq \theta\leq 2\pi)\\$

$N=2\\\theta=\frac{2\pi }{3}+2\pi \\ \theta=\frac{2\pi +3*2\pi }{3}\\ \theta=\frac{2\pi +6\pi }{3} \\\theta=\frac{8\pi }{3} \\\theta=2\frac{2}{3} \pi \ \ \ \ (\notin0\leq \theta\leq 2\pi).\\$