45 phần tram cuar 240m vuông
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Gọi `x (x > 0)` là cạnh ban đầu của mảnh đất
Ta có:
Chiều dài mảnh đất khi mở rộng là `x + 4 (m)`
Chiều rộng mảnh đất khi mở rộng là `x + 3 (m)`
=> Diện tích mảnh đất khi mở rộng là:
`(x+4)(x+3) = 342`
`<=> x^2 + 7x + 12 = 342`
`<=> x^2 + 7x - 330 = 0`
`<=> (x^2 - 15x) + (22x - 330) = 0`
`<=> x(x-15) + 22(x - 15) = 0`
`<=> (x+22)(x-15) = 0`
`<=> x = -22` (không thỏa mãn) hoặc `x = 15`
Vậy cạnh mảnh đất ban đầu là `15m`
Diện tích mảnh đất lúc đầu là:
`15 . 15 = 225 (m^2)`
Đáp số: `225m^2`
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a: \(15\left(x-15\right)=0\)
mà 15>0
nên x-15=0
=>x=15
c: (x-15)-75=0
=>x-15=75
=>x=75+15=90
b: 32(x-10)=32
=>x-10=1
=>x=10+1=11
d: 575-(6x+70)=445
=>6x+70=575-445=130
=>6x=60
=>x=10
e: 315+(125-x)=435
=>440-x=435
=>x=440-435=5
g: x-105:21=15
=>x-5=15
=>x=15+5=20
h: \(231-\left(x-6\right)=1339:13\)
=>231-(x-6)=103
=>x-6=231-103=128
=>x=128+6=134
i: 70-5(x-3)=45
=>5(x-3)=70-45=25
=>x-3=5
=>x=5+3=8
k: 13-2(x+1)=7
=>2(x+1)=13-7=6
=>x+1=3
=>x=2
i: \(420+65\cdot4=\left(x+175\right):5+30\)
=>\(\dfrac{x+175}{5}=390+65\cdot4=390+260=650\)
=>x+175=3250
=>x=3250-175=3075
l: \(32\cdot15:2=\left(x+70\right):14-40\)
=>\(\left(x+70\right):14-40=16\cdot15=240\)
=>\(\left(x+70\right):14=240+40=280\)
=>\(x+70=14\cdot280=3920\)
=>x=3920-70=3850
m: \(165-\left(35:x+3\right)\cdot19=13\)
=>\(\left(35:x+3\right)\cdot19=165-13=152\)
=>35:x+3=152:19=8
=>35:x=8-3=5
=>x=35:5=7
n: \(1+2+3+4+...+x=528\)
=>\(\dfrac{x\left(x+1\right)}{2}=528\)
=>\(x\left(x+1\right)=528\cdot2=1056\)
=>\(x^2+x-1056=0\)
=>(x-32)(x+31)=0
=>\(\left[{}\begin{matrix}x=32\left(nhận\right)\\x=-31\left(loại\right)\end{matrix}\right.\)
p: \(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\)
=>\(\left(2x-1\right)\left(1+2+...+200\right)=5\left(1+2+...+200\right)\)
=>2x-1=5
=>2x=6
=>x=3
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1. I/not/meet/him/before/. Who/he/be?
I haven't met him before. Who is he?
2. He/know/me/ a long time/ but/he/not/know/ my name.
He has known me for a long time but he doesn't know my name
3. You/do/exercise/ last night? No, I/just/ do.
Did you do exercise last night? No, I have just done
4. It/stop/rain.
It has stopped raining
5. I/ never/see/ such/ beautiful/ view.
I have never see such a beautiful view
6. We/just/ finish/ first term.
We have just finished the first term
7. She/be/pupil/11 years.
She has been a pupil for 11 years
8. Train/just/ leave/she/be/3 minute / late
The train has just left, she is 3 minutes late
9. He/not/ finish/work/yet.
He hasn't finished his work yet
10. I/ already/post/letter/you.
I have already posted a letter for you
11. Why/not/you/do/homework/yet? GCOGPA
Why haven't you done your homework yet?
12. Tom/find/key/ 2 hours.
Tom has been finding his key for 2 hours
13. He/ smoke/ 20 cigarettes/ a day.
He smokes 20 cigarettes a day
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Sửa đề: Om là phân giác của góc xOz
a:
Om là phân giác của góc xOz
=>\(\widehat{xOm}=\widehat{zOm}=\dfrac{\widehat{xOy}}{2}=\dfrac{60^0}{2}=30^0\)
b: Ta có: \(\widehat{xOz}+\widehat{yOz}=180^0\)(hai góc kề bù)
=>\(\widehat{yOz}+60^0=180^0\)
=>\(\widehat{yOz}=120^0\)
On là phân giác của góc yOz
=>\(\widehat{yOn}=\widehat{zOn}=\dfrac{\widehat{yOz}}{2}=\dfrac{120^0}{2}=60^0\)
c: \(\widehat{mOn}=\widehat{mOz}+\widehat{nOz}=60^0+30^0=90^0\)
Do \(\widehat{xOy}\) là góc bẹt => \(\widehat{xOy}\) = 180^o
a) Do `Om` là tia phân giác của \(\widehat{xOz}\)
=> \(\widehat{xOm}=\widehat{mOz}=\dfrac{1}{2}\widehat{xOz}=\dfrac{1}{2}.60^o=30^o\)
b) Ta có: \(\widehat{zOy}=\widehat{xOy}-\widehat{xOz}=180^o-60^o=120^o\)
Do `On` là tia phân giác của \(\widehat{yOz}\)
=> \(\widehat{zOn}=\widehat{nOy}=\dfrac{1}{2}\widehat{yOz}=\dfrac{1}{2}.120^o=60^o\)
c) \(\widehat{mOn}=\widehat{mOz}+\widehat{zOn}=30^o+60^o=90^o\)
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108\(m^2\)
`45%` của `240m^2` là: `240 . 45% = 108 (m^2)`