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Ta có:
\(A=\frac{112}{13.20}+\frac{112}{20.27}+.........+\frac{112}{62.69}\)
\(\Rightarrow A=112.\left(\frac{1}{13.20}+\frac{1}{20.27}+..........+\frac{1}{62.69}\right)\)
\(\Rightarrow A=16.\left(\frac{7}{13.20}+\frac{7}{20.27}+.......+\frac{7}{62.69}\right)\)
\(\Rightarrow A=16.\left(\frac{1}{13}-\frac{1}{20}+\frac{1}{20}-\frac{1}{27}+........+\frac{1}{62}-\frac{1}{69}\right)\)
\(\Rightarrow A=16.\left(\frac{1}{13}-\frac{1}{69}\right)\)
\(\Rightarrow A=16.\frac{56}{897}\)
\(\Rightarrow A=\frac{896}{897}\)
Vậy: \(A=\frac{896}{897}\)
\(A=\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+...+\frac{112}{62.69}\)
\(\Rightarrow A=112.\left(\frac{1}{13.20}+\frac{1}{20.27}+\frac{1}{27.34}+...+\frac{1}{62.69}\right)\)
\(\Rightarrow A=112.\frac{7}{7}.\left(\frac{1}{13.20}+\frac{1}{20.27}+\frac{1}{27.34}+...+\frac{1}{62.69}\right)\)
\(\Rightarrow A=112.\frac{1}{7}\left(\frac{7}{13.20}+\frac{7}{20.27}+\frac{7}{27.34}+...+\frac{7}{62.69}\right)\)
\(\Rightarrow A=16\left(\frac{1}{13}-\frac{1}{20}+\frac{1}{20}-\frac{1}{27}+\frac{1}{27}-\frac{1}{34}+...+\frac{1}{62}-\frac{1}{69}\right)\)
\(\Rightarrow A=16\left(\frac{1}{13}-\frac{1}{69}\right)\)
\(\Rightarrow A=16.\frac{56}{897}\)
\(\Rightarrow A=\frac{896}{897}\)
\(Can\)\(you\) \(k\) \(for\) \(me,everyone?\)
\(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+...+\frac{112}{62.69}\)
= \(16.\left(\frac{7}{13.20}+\frac{7}{20.27}+\frac{7}{27.34}+...+\frac{7}{62.69}\right)\)
= \(16.\left(\frac{1}{13}-\frac{1}{20}+\frac{1}{20}-\frac{1}{27}+\frac{1}{27}-\frac{1}{34}+...+\frac{1}{62}-\frac{1}{69}\right)\)
= \(16.\left(\frac{1}{13}-\frac{1}{69}\right)\)
= \(16.\frac{56}{897}\)
= \(\frac{896}{897}\)
\(\frac{112}{13.20}+\frac{112}{20.27}+\frac{112}{27.34}+...+\frac{112}{62.69}\)
\(=16\left(\frac{7}{13.20}+\frac{7}{20.27}+\frac{7}{27.34}+...+\frac{7}{62.69}\right)\)
\(=16\left(\frac{1}{13}-\frac{1}{20}+\frac{1}{20}-\frac{1}{27}+...+\frac{1}{62}-\frac{1}{69}\right)\)
\(=16\left(\frac{1}{13}-\frac{1}{69}\right)=\frac{16}{13}-\frac{16}{69}\)
A B C D E 112^o M N
Gọi M; N là ....
Ta có : \(DM\perp AB\)\(\Rightarrow\)DM là đường cao \(\Delta ABD\)
\(AM=MB\Rightarrow\)DM là trung tuyến \(\Delta ABD\)
\(\Rightarrow\Delta ABD\)cân tại D
\(\Rightarrow\widehat{BAD}=\widehat{ABD}\)
CM tương tự \(\Rightarrow\Delta AEC\)cân tại E
\(\Rightarrow\widehat{EAC}=\widehat{ACE}\)
Mà \(\widehat{BAD}+\widehat{EAC}+\widehat{DAE}=\widehat{BAC}=112^o\)
\(\Rightarrow\widehat{ABD}+\widehat{ACE}+\widehat{DAE}=112^o\left(1\right)\)
Mặt khác \(\widehat{ABC}+\widehat{ACB}+\widehat{BAC}=180^o\)
\(\Leftrightarrow\widehat{ABC}+\widehat{ACB}+112^o=180^o\)
\(\Leftrightarrow\widehat{ABC}+\widehat{ACB}=68^o\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\widehat{DAE}=44^o\)
Vậy ...
\(=\left[16\cdot\left(\dfrac{1}{13}-\dfrac{1}{20}+\dfrac{1}{20}-\dfrac{1}{27}+...+\dfrac{1}{62}-\dfrac{1}{69}\right)\right]:\dfrac{-112}{897}\)
\(=16\left(\dfrac{1}{13}-\dfrac{1}{69}\right)\cdot\dfrac{-897}{112}\)
\(=-\dfrac{897}{7}\cdot\dfrac{56}{897}=-8\)
5/8
5/8
5/8
\(\frac{32}{112}.\frac{245}{112}\)
\(=\frac{32:16}{112:16}.\frac{245:7}{112:7}\)
\(=\frac27.\frac{35}{16}\)
\(=\frac{70}{112}\)
\(=\frac{70:14}{112:14}\)
\(=\frac58\)
5/8
32/112 × 245/112
= 2/7 × 245/112
= (2 × 245)/(7 × 112)
= (2 × 35)/112
= 70/112
= 5/8