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wzory na matematykę
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52 flashcards
OlgaSalamonik
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Question
Answer
11 do kwadratu
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121
12 do kwadratu
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144
13 do kwadratu
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169
14 do kwadratu
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196
15 do kwadratu
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225
16 do kwadratu
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256
17 do kwadratu
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289
18 do kwadratu
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324
19 do kwadratu
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361
20 do kwadratu
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400
pierwiastek z 2
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1,41
pierwiastek z 3
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1,73
pierwiastek z 5
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2,24
pi
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3,14
25 do kwadratu
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625
6 do sześcianu
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216
1 litr
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1000cm sześc. 1 dm sześc
1 ha (hektar)
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10000m 2., 100 a
1 a (ar)
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100m 2
1in (cal)
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2,54
wartość bezwzględna
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|x|= x, gdy x>0; -x, gdy x<0
odsetki od kapitalu
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d=k*p*t/100
(a+b)2=
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a2+2ab+b2
(a-b)2=
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a2-2ab+b2
(a+b)(a-b)=
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a2-b2
Funkcja liniowa y=ax+b
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a>0 - funkcja rosnąca, a<0 fukncja malejąca, a=0 funkcja stała
warunek równoległości dwóch prostych
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y=a1x+b1 i y=a2x+b2 a1=a2
warunek prostopadłości dwóch prostych
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y=a1x+b1 i y=a2x+b2 a1*a2=-1
proporcjonalność prosta
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y=ax gdzie a to współczynnik proporcjonalności
proporcjonalność odwrotna
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y=a/x
Pc graniastosłupa
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Pc=2Pp+Pb
V graniastosłupa
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V=Pp * H
Pc ostrosłupa
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Pp+Pb
V ostrosłupa
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V=1/3Pp*h
sześcian
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Pc=6a2 V=a3
Prostopadłościan
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Pc=2ab+2ac+2bc V=abc
Czworościan foremny
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Pc=√3a2 V=√2/12a3 H=√6/3 a
walec
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Pc=2 πR2+2 πRH V= πR2*h
stożek
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Pc= πr2+ πRL V= 1/3 πR2*H
kula
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Pc=4 πR2 V= 4/3 πR3
Pole kwadratu
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a2, d=√2*a P=1/2*ah
Pole prostokąta
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p=ab
pole trójkąta
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p=1/2ah
pole trójkąta prostokątnego
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P=1/2ab
Pole trójkąta równobocznego
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P=√3/4 a2 h=√3/2
Pole równoległoboku
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P=ah
Pole rombu
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p=ah p=1/2 d1d2
Pole deltoidu
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p=1/2d1d2
Pole trapezu
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p=1/2(a+b)*h
twierdzenie Pitagorasa
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a2+b2=c2
Trójkąt prostokątny o kącie ostrym 30stopni
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h=1/2a
Trójkąt równoboczny wpisany w okrąg i opisany na okręgu
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h=√3/2 a, h=R+r, R=2/3h=√3/6 a, r=1/3 h=√3/6 a
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