Làm giúp t vớiiii
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\(\overrightarrow{AB}.\overrightarrow{AC}=AB.AC.cos\widehat{BAC}=a.a.cos60^0=\dfrac{a^2}{2}\)
\(\overrightarrow{AB}.\overrightarrow{AM}=AB.AM.cos\widehat{BAM}=a.\dfrac{a\sqrt{3}}{2}.cos30^0=\dfrac{3a^2}{4}\)
\(\overrightarrow{AB}.\overrightarrow{BC}=AB.BC.cos\left(180^0-\widehat{ABC}\right)=a.a.cos120^0=-\dfrac{a^2}{2}\)
\(\overrightarrow{AC}.\overrightarrow{BM}=\overrightarrow{AC}.\dfrac{1}{2}\overrightarrow{BC}=\dfrac{1}{2}AC.BC.cos\widehat{ACB}=\dfrac{1}{2}a.a.cos60^0=\dfrac{a^2}{4}\)
Câu 1:
\(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)
PTHH: Al + 6HNO3 (đặc, nóng) ---> Al(NO3)3 + 6NO2 + 3H2O
0,1 0,6
\(\rightarrow V_{NO_2\left(đktc\right)}=0,6.22,4=13,44\left(l\right)\)
Câu 2:
\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
PTHH: Fe + 2HCl ---> FeCl2 + H2
0,1 0,1
\(\rightarrow m_{Fe}=0,1.56=5,6\left(g\right)\\ \rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{5,6}{8,8}=63,63\%\\\%m_{Cu}=100\%-63,63\%=36,37\%\end{matrix}\right.\)
Thời gian 1 người làm 1 đơn hàng là:
28 x 15 : 3 = 140 (ngày)
20 người làm 1 đơn hàng cần thời gian là:
140 : 20 = 7 (ngày)
20 người làm 10 đơn hàng cần thời gian là:
7 x 10 = 70 (ngày)
Đáp số: 70 ngày
1 making
2 to drive
3 to book
4 to send
5 to meet
6 taking
7 wearing
8 to take
9 to receive
10 opening
11 reading
12 driving
13 learning
14 to study
15 to get
16 to go
17 studying
18 to take
a: \(A=1\)
\(\Leftrightarrow19-2x^2=1\)
\(\Leftrightarrow2x^2=18\)
\(\Leftrightarrow x^2=9\)
=>x=3 hoặc x=-3
b: B=0
=>(x+2)(x2-4)=0
=>(x+2)2(x-2)=0
=>x=-2 hoặc x=2
a) \(\dfrac{2}{3}x-\dfrac{2}{3}=\dfrac{7}{12}-1\Leftrightarrow\dfrac{2}{3}x=\dfrac{7}{12}-1+\dfrac{2}{3}=\dfrac{1}{4}\Leftrightarrow x=\dfrac{3}{8}\)
b)\(\dfrac{1}{2}x+\dfrac{3}{5}\left(x-2\right)=3\Leftrightarrow\dfrac{1}{2}x+\dfrac{3}{5}x-\dfrac{6}{5}=3\Leftrightarrow\dfrac{11}{10}x=\dfrac{21}{5}\Leftrightarrow x=\dfrac{42}{11}\)
c)
\(\dfrac{3}{4}\left|x+5\right|+\dfrac{7}{8}=1\dfrac{1}{6}\Leftrightarrow\dfrac{3}{4}\left|x+5\right|=\dfrac{7}{6}-\dfrac{7}{8}=\dfrac{7}{24}\Leftrightarrow\left|x+5\right|=\dfrac{7}{18}\Leftrightarrow\left[{}\begin{matrix}x+5=\dfrac{7}{18}\\x+5=-\dfrac{7}{18}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{83}{18}\\x=-\dfrac{97}{18}\end{matrix}\right.\)
a) 23x−23=712−1⇔23x=712−1+23=14⇔x=3823x−23=712−1⇔23x=712−1+23=14⇔x=38
b)12x+35(x−2)=3⇔12x+35x−65=3⇔1110x=215⇔x=421112x+35(x−2)=3⇔12x+35x−65=3⇔1110x=215⇔x=4211
c)
34|x+5|+78=116⇔34|x+5|=76−78=724⇔|x+5|=718⇔⎡⎢ ⎢⎣x+5=718x+5=−718⇔⎡⎢ ⎢⎣x=−8318x=−9718