LyllianaM536172 LyllianaM536172
  • 03-11-2022
  • Mathematics
contestada

Write 62° 21´ 47´´ as a decimal to the nearest thousandth. 62.413°62.366°62.363°62.373°

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SaudiaH674761 SaudiaH674761
  • 03-11-2022

The given number is °:

[tex]62\degree21^{\prime}47^{\doubleprime}[/tex]

To write it as a decimal, start by placing the integer part the same, now to find the decimal part, let's take the minutes 21' and divide it by 60 (because there are 60 minutes in 1°):

[tex]\frac{21^{\prime}}{60}=0.35[/tex]

Now, let's divide the seconds 47" by 3600 (because there are 3600 seconds in 1°):

[tex]\frac{47^{\doubleprime}}{3600}=0.013[/tex]

Thus, the number is:

[tex]62\degree+0.35\degree+0.013\degree=62.363\degree[/tex]

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