![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
\(E=\left(\dfrac{1}{2}+1\right)\left(\dfrac{1}{3}+1\right)\left(\dfrac{1}{4}+1\right)...\left(\dfrac{1}{99}+1\right)\)
\(\Leftrightarrow E=\dfrac{3}{2}.\dfrac{4}{3}.\dfrac{5}{4}...\dfrac{100}{99}\)
\(\Leftrightarrow E=\dfrac{3.4.5...100}{2.3.4...99}\)
\(\Leftrightarrow E=\dfrac{\left(3.4.5...99\right).100}{2.\left(3.4...99\right)}\)
\(\Leftrightarrow E=\dfrac{100}{2}=50\)
Vậy ...
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 16.(27+15)+8.(53+25):2
= 4.[(27+15).4] + 4.(53+25)
= 4.168 + 4.312
= 4.(168+312)
= 4.480=1920.
...
Câu b tình bt thui!
b, 53.(51+4)+53.53.(49+96)+53
=53.55+53.53.145+53
=2915+407305+53
=410220+53=410273
![](https://rs.olm.vn/images/avt/0.png?1311)
1: \(=75\left(27+25-2\right)=75\cdot50=3750\)
2: \(=15\left(23+37\right)+55=15\cdot60+55=955\)
3: \(=36\cdot14+36\cdot17+36\cdot69\)
\(=36\cdot100=3600\)
4: \(=200\cdot\left(32+68\right)=200\cdot100=20000\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Leftrightarrow x+2+4+...+96+98=1+3+5+...+99\)
=>x+2450=2500
=>x=50
![](https://rs.olm.vn/images/avt/0.png?1311)
ABC vuông cân \(\Rightarrow\left\{{}\begin{matrix}AC=AB=3\\BC=AB\sqrt{2}=3\sqrt{2}\end{matrix}\right.\)
\(\overrightarrow{BC}.\overrightarrow{CA}=-\overrightarrow{CB}.\overrightarrow{CA}=-BC.AC.cos\left(\overrightarrow{CB};\overrightarrow{CA}\right)\)
\(=-3\sqrt{2}.3.cos45^0=-9\)