Giúp mình.mình cảm mơn ạ
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: Xét ΔABC vuông tại A có AH là đường cao
nên \(AH^2=HB\cdot HC\)
=>\(AH^2=4\cdot9=36\)
=>AH=6(cm)
BC=BH+CH
=4+9
=13(cm)
Xét ΔABC vuông tại A có AH là đường cao
nên \(\left\{{}\begin{matrix}AB^2=BH\cdot BC\\AC^2=CH\cdot CB\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}AB=\sqrt{4\cdot13}=2\sqrt{13}\left(cm\right)\\AC=\sqrt{9\cdot13}=3\sqrt{13}\left(cm\right)\end{matrix}\right.\)
Xét ΔABC vuông tại A có \(tanABC=\dfrac{AC}{AB}=\dfrac{3}{2}\)
nên \(\widehat{ABC}\simeq56^0\)
b: Xét tứ giác AEHF có
\(\widehat{AEH}=\widehat{AFH}=\widehat{FAE}=90^0\)
=>AEHF là hình chữ nhật
=>AH=EF
Xét ΔHAB vuông tại H có HE là đường cao
nên \(AE\cdot AB=AH^2\)
Xét ΔHAC vuông tại H có HF là đường cao
nên \(AF\cdot AC=AH^2\)
\(AE\cdot AB+AF\cdot AC=AH^2+AH^2=2AH^2=2FE^2\)
<ko hiểu thì ib hỏi mình nha>
a,Thời gian rơi của vật là
\(t=\sqrt{\dfrac{2h}{g}}=\sqrt{\dfrac{2\cdot125}{10}}=5\left(s\right)\)
Vận tốc của vật ngay trước khi chạm đất
\(v=gt=10\cdot5=50\left(\dfrac{m}{s}\right)\)
b,Quãng đường vật rơi trong giây cuối là
\(\dfrac{1}{2}\cdot10t^2-\dfrac{1}{2}\cdot10\left(t-1\right)^2=25\Rightarrow t=3\left(s\right)\)
độ cao h là
\(s=\dfrac{1}{2}gt^2=\dfrac{1}{2}\cdot10\cdot3^2=45\left(m\right)\)
a. \(t=\sqrt{\dfrac{2h}{g}}=\sqrt{\dfrac{2\cdot125}{10}}=5\left(s\right)\)
\(v^2=2gh\Rightarrow v=\sqrt{2gh}=\sqrt{2\cdot10\cdot125}=50\left(\dfrac{m}{s}\right)\)
b. Ta có: \(\left\{{}\begin{matrix}h=s=\dfrac{gt^2}{2} \left(1\right)\\h'=s'=\dfrac{g}{2}\left(t-1\right)^2\left(2\right)\end{matrix}\right.\)
\(\Delta h=h-h'=25\left(m\right)\)
\(\Leftrightarrow\dfrac{gt^2}{2}-\dfrac{g}{2}\left(t^2-2t+1\right)=25\)
\(\Leftrightarrow gt-\dfrac{g}{2}=25\)
\(\Rightarrow t=\dfrac{25+5}{10}=3\left(s\right)\left(3\right)\)
\(Thay\left(3\right)in\left(1\right):h=\dfrac{10\cdot3^2}{2}=45\left(m\right)\)
\(VT=\sqrt{\dfrac{\sqrt{5}}{8\sqrt{5}+3\sqrt{35}}}.\left(3\sqrt{2}+\sqrt{14}\right)\)
\(=\sqrt{\dfrac{\sqrt{5}}{8\sqrt{5}+3\sqrt{5}.\sqrt{7}}}.\left(3\sqrt{2}+\sqrt{2}.\sqrt{7}\right)\)
\(=\sqrt{\dfrac{\sqrt{5}}{\sqrt{5}\left(8+3\sqrt{7}\right)}}.\left[\sqrt{2}\left(3+\sqrt{7}\right)\right]\)
\(=\sqrt{\dfrac{1}{8+3\sqrt{7}}}.\left[\sqrt{2}\left(3+\sqrt{7}\right)\right]\)
\(=\dfrac{\sqrt{2}\left(3+\sqrt{7}\right)}{\sqrt{8+3\sqrt{7}}}\)
\(=\dfrac{\sqrt{2}.\sqrt{2}\left(3+\sqrt{7}\right)}{\sqrt{2}.\sqrt{8+3\sqrt{7}}}\) (Nhân \(\sqrt{2}\) cả tử và mẫu)
\(=\dfrac{2\left(3+\sqrt{7}\right)}{\sqrt{16+6\sqrt{7}}}\)
\(=\dfrac{2\left(3+\sqrt{7}\right)}{\sqrt{\left(3+\sqrt{7}\right)^2}}\)
\(=\dfrac{2\left(3+\sqrt{7}\right)}{\left|3+\sqrt{7}\right|}\)
\(=\dfrac{2\left(3+\sqrt{7}\right)}{3+\sqrt{7}}\)
\(=2=VP\left(dpcm\right)\)
she is interested in reading comic
Tomorrow in this time I wil be lieing on the beach
My car isn't as expensive as his
She has started live in Paris since 2005
A new dam will build near the rive next year
1. used to
2. will be taking
3. am watching
4. will go
5. will be washing
6. will be replaced
7. do
8. has visited
9. haven't bought
10. swim
1. used to
2. will be taking
3. am watching
4. will go
5. will be washing
6. will be replaced
7. do
8. has visited
9. haven't bought
10. swim
1. used to
2. will be taking
3. am watching
4. will go
5. will be washing
6. will be replaced
7. do
8. has visited
9. haven't bought
10. swim
did - go
went - didn't enjoy
take
takes
goes
playing
am wanting
used to play - was
did - ever heard
will - travel
will be taking
will spend
haven't seen
A
A nhé