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natta225 [31]
2 years ago
10

Evaluate 4a for a = 5 . Express your answer in simplest form. 20 22 45 20

Mathematics
2 answers:
stealth61 [152]2 years ago
8 0

Answer: \large \boldsymbol {\sf 22\dfrac{2}{3} }

Step-by-step explanation:

\displaystyle \large \boldsymbol {}  \sf  Find   \  \  4 a   \ \ ;  \ \  if  \  a=5\frac{2}{3}  \\\\1-st \  method \\\\ 5\frac{2}{3} =5+\frac{2}{3} \ \  then   \\\\ 4\cdot \bigg(5+\frac{2}{3} \bigg)=4\cdot 5+ \frac{4\cdot 2}{3} =20+\frac{8}{3}  =20+2\frac{2}{3} =\boldsymbol {\sf 22 \frac{2}{3} } \\\\\\ 2-nd \  \  method  \\\\ 5\frac{2}{3} =\frac{5\cdot 3+2}{3} =\frac{17}{3}  \\\\\\ 4\cdot \bigg( \frac{17}{3}  \bigg) =\frac{4\cdot 17}{3} =\frac{68}{3} =\boldsymbol {\sf 22 \frac{2}{3}}

Viefleur [7K]2 years ago
3 0

\\ \sf\longmapsto 4(5\dfrac{2}{3})

\\ \sf\longmapsto 4\times \dfrac{17}{3}

\\ \sf\longmapsto \dfrac{68}{3}

\\ \sf\longmapsto 22\dfrac{2}{3}

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11+3 = 14

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Answer:

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<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>

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  • A polygon with 10 sides ( Decagon )

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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

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<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

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\qquad \diamond \:  \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \:  \star

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<u>Solution</u><u> </u><u>:</u><u>-</u>

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Putting the given values, we get,

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\sf \dashrightarrow Exterior ~angle =  \dfrac{360  ^\circ}{10} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \frac{36 \cancel{0}^\circ}{ \cancel{10}} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\  \\

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\underline{ \rule{227pt}{2pt}} \\  \\

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