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olasank [31]
3 years ago
6

Work out the number of sides of

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

45 sides

Step-by-step explanation:

Using the property:

Interior angle + exterior angle = 180°

exterior angle = 8°

now, using the formula:

number of sides = 360/exterior angle

number of sides = 360/8

number of sides = 45 ANS.

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as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}

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2 years ago
Solve these plz and give a explanation <br>​
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Answer:

\large{ \tt{☄ \: EXPLANATION}} :

✎ Firstly , Remember these things :

  • To convert the percentage into a decimal fraction, remove the % symbol and divide it by 100 as in the case of conversion of percentage into fraction. We know that , divide by 100 means shifting to the left ; so to convert a percentage into decimal fraction, remove the % symbol and shift the decimal point two places to the left. For example : 12\% =  \frac{12}{100}  = \boxed{  0.12}

\large{  \tt{☥ \: LET'S \: SOLVE}} :

\large{1. \:  \: 52\%  \: \text{of} \: 210 =  \frac{52}{100} \times 210 = 0.52 \times 210 =  \boxed{109.2}  }

\large{ 2. \:  \: 35\%  \: \text{of} \: 500 =  \frac{35}{100}  \times 500 = 0.35 \times 500 =  \boxed{175} }

\large{3. \: 28\%  \: \text{of}  \: 866 =  \frac{28}{100} \times 866 = 0.28 \times 366 =  \boxed{102.48} }

\large{ \tt{✺ \: REPEAT \: DAILY} }:

  • I will remain focused on my goals. Even if I have a moment of difficulty , I will not give up. I know Success comes with consistency. I know that I will make it. Things will get better. No problem or challenge will stop me. Everything I deserve is coming my way.

ツ Hope I helped! ۵

☃ Have a wonderful day / evening! ❃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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