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Giải:
a) Có: \(0,\left(37\right)=0,373737373737...\)
\(0,\left(62\right)=0,626262626262...\)
\(\Leftrightarrow0,\left(37\right)+0,\left(62\right)=0,99999999999...\)
Mà \(0,9999999999999...\simeq1\)
Hay \(0,\left(9\right)=1\)
Vậy \(0,\left(37\right)+0,\left(62\right)=1\).
b) \(0,\left(33\right).3=0,99999...=0,\left(9\right)=1\)
Vậy \(0,\left(33\right).3=1\).
Chúc bạn học tốt!!!
\(a)0,\left(37\right)=0,37373737....\)
\(0,\left(62\right)=0,62626262....\)\(\Leftrightarrow0,\left(37\right)+0,\left(62\right)=0,99999999....\)
Mà \(0,99999999....\simeq1\)
hoặc \(0,\left(9\right)\simeq1\)
\(\Rightarrow0,\left(37\right)+\left(0,62\right)=1\)
\(b)0,\left(33\right).3=1\)
\(\Leftrightarrow0,99999999....=0,\left(9\right)\simeq1\)
\(\Rightarrow0,\left(33\right).3=1\)
Chúc bạn học tốt!
Ta có hình vẽ:
x x' O y y' \(\widehat{xOy}+\widehat{yOx'}+\widehat{x'Oy'}=297^o\)
\(\widehat{xOy}\) và \(\widehat{x'Oy'}\) đối đỉnh \(\Rightarrow\widehat{xOy}=\widehat{x'Oy'}\)
\(\widehat{x'Oy}\) và \(\widehat{x'Oy'}\) kề bù nên:
\(\widehat{x'Oy'}+\widehat{x'Oy}=180^o\)
\(\Rightarrow\widehat{xOy}+180^0=297^o\)
\(\Rightarrow\widehat{xOy}=117^o\)
\(\widehat{xOy}=\widehat{x'Oy'}=117^o\)
\(\Rightarrow\widehat{x'Oy}=297^o-117^o-177^o=3^o\)
\(\widehat{x'Oy}\) đối đỉnh với \(\widehat{xOy'}\) nên
\(\widehat{x'Oy}=\widehat{xOy'}=3^o\)
Vậy...
Kẻ Cz//By (z thuộc nửa mặt phẳng bờ AC chứa B)
Ta có: góc zCB=góc CBy = 30 độ (so le trong)
Mà góc zCB + góc zCA=120 độ
=> góc zCA=90 độ.
=> Cz//Ax (cùng vuông góc AC)
Mà Cz//By => Ax//By
\(\left(\dfrac{-5}{13}\right)^{2017}\cdot\left(\dfrac{13}{5}\right)^{2016}=\left(\dfrac{-5}{13}\right)\cdot\left(-\dfrac{5}{13}\right)^{2016}\cdot\left(\dfrac{13}{5}\right)^{2016}=\left(\dfrac{-5}{13}\right)\cdot\left(\dfrac{5}{13}\right)^{2016}\cdot\left(\dfrac{13}{5}\right)^{2016}=\left(-\dfrac{5}{13}\right)\cdot\left[\left(\dfrac{5}{13}\right)^{2016}\cdot\left(\dfrac{13}{5}\right)^{2016}\right]=\left(-\dfrac{5}{13}\right)\cdot1^{2016}=\left(-\dfrac{5}{13}\right)\cdot1=-\dfrac{5}{13}\)
>> Mình không chép lại đề bài nhé ! <<
Cách 1 :
\(A=\left(\dfrac{36-4+3}{6}\right)-\left(\dfrac{30+10-9}{6}\right)-\left(\dfrac{18-14+15}{6}\right)=\dfrac{35}{6}-\dfrac{31}{6}-\dfrac{19}{6}=-\dfrac{15}{6}=-\dfrac{5}{2}\)
Cách 2 :
\(A=6-\dfrac{2}{3}+\dfrac{1}{2}-5+\dfrac{5}{3}-\dfrac{3}{2}-3-\dfrac{7}{3}+\dfrac{5}{2}\)
\(A=\left(6-5-3\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}-\dfrac{7}{3}\right)+\left(\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\right)\)
\(A=-2-0-\dfrac{1}{2}=-\dfrac{5}{2}\)
Cách 1 :
\(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)
\(=\left(\dfrac{36}{6}-\dfrac{4}{6}+\dfrac{3}{6}\right)-\left(\dfrac{30}{6}+\dfrac{10}{6}-\dfrac{9}{6}\right)-\left(\dfrac{18}{6}-\dfrac{14}{6}+\dfrac{15}{6}\right)\)
\(=\dfrac{35}{6}-\dfrac{31}{6}-\dfrac{19}{6}\)
\(=-\dfrac{5}{2}\)
Cách 2 :
\(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)
\(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)
\(=\left(6-5-3\right)+\left(\dfrac{-2}{3}+\dfrac{-5}{3}+\dfrac{7}{3}\right)+\left(\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{-5}{2}\right)\)
\(=\left(-2\right)+0+\dfrac{-1}{2}\)
\(=\dfrac{-5}{2}\)
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