giúp iem với ạ :<
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\(1,\Rightarrow3:\dfrac{9}{4}=\dfrac{3}{4}:x\\ \Rightarrow\dfrac{4}{3}=\dfrac{3}{4}:x\\ \Rightarrow x=\dfrac{3}{4}:\dfrac{4}{3}=\dfrac{9}{16}\\ 2,\)
Nửa chu vi là \(50:2=25\left(cm\right)\)
Gọi cd là a, cr là b (cm)(a,b>0)
Ta có \(a:b=3:2\Rightarrow\dfrac{a}{3}=\dfrac{b}{2}\) và \(a+b=25\left(cm\right)\)
Áp dụng t/c dtsbn:
\(\dfrac{a}{3}=\dfrac{b}{2}=\dfrac{a+b}{3+2}=\dfrac{25}{5}=5\\ \Rightarrow\left\{{}\begin{matrix}a=15\\b=10\end{matrix}\right.\)
Vậy ...
a: =(-3/2)*(-2/3)+(5/2-3/4):7/4
=1+7/4:7/4=1+1=2
b: \(=\dfrac{1}{3}\left(\dfrac{3}{1\cdot4}+\dfrac{3}{4\cdot7}+...+\dfrac{3}{100\cdot103}\right)\)
\(=\dfrac{1}{3}\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{100}-\dfrac{1}{103}\right)\)
=1/3*102/103=34/103
Nam and his family visited Son Dong Cave happily last summer
=>Son Don Cave was visited happily by Nam and his family last summer
III,
1. different
2. between
3. out
4. well
5. downstairs
6. written
7. has lived
8. as cold as
9. to study
10. taking
11. have to
12. between
13. himself
14. How long
15. on
IV,
1. My family used to visit Sa Pa last summer vacation.
2. They used to go to school by bus last year.
3. Na isn’t as beautiful as Trang.
4. French is more difficult than English.
5. They have lived here for 10 years.
6. She enjoys swimming and outdoor activities.
ĐK: \(x\ne\dfrac{\pi}{4}+k\pi;x\ne\dfrac{\pi}{2}+k2\pi\)
\(tan2x.tanx=1\)
\(\Leftrightarrow\dfrac{sin2x.sinx}{cos2x.cosx}=1\)
\(\Leftrightarrow sin2x.sinx=cos2x.cosx\)
\(\Leftrightarrow\dfrac{1}{2}\left(cosx-cos3x\right)=\dfrac{1}{2}\left(cos3x+cosx\right)\)
\(\Leftrightarrow cos3x=0\)
\(\Leftrightarrow3x=\dfrac{\pi}{2}+k\pi\)
\(\Leftrightarrow x=\dfrac{\pi}{6}+\dfrac{k\pi}{3}\)
a: Xét ΔMEB vuông tại M và ΔACB vuông tại A có
\(\widehat{B}\) chung
Do đó: ΔMEB\(\sim\)ΔACB
Xét ΔDMC vuông tại M và ΔABC vuông tại A có
\(\widehat{C}\) chung
Do đó: ΔDMC\(\sim\)ΔABC
b: BC=30cm