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Engenheiro Civil JUSTIFICADO.pdf
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[(A)9(:)-205(______________________________)]TJ
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(Resposta: C)Tj
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(Solu\347\343o: Resolu\347\343o de Situa\347\343o-problema.)Tj
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(Sistema monet\341rio)Tj
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(US$ 1 215,00 na ida)Tj
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(Retornou com R$ 432,50 : 1,73 = US$ 250,00)Tj
-0.0393 Tw T*
(US$ 1 215,00 \226 US$ 250,00 = US$ 965,00)Tj
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(___________________________________________)Tj
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[(4)20(9)20(.)-1485(Uma torneira enche um reservat\363rio em 7 horas e)]TJ
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(outra torneira enche o mesmo reservat\363rio em x)Tj
0.0037 Tc 0.1378 Tw T*
(horas. Juntas elas enchem o reservat\363rio em 5)Tj
0 Tc 0.1189 Tw T*
(horas. Descubra o valor de x horas que a outra)Tj
-0.0035 Tc -0.069 Tw T*
(torneira demora para encher o tanque.)Tj
-0.0637 Tc 0 Tw 0 -1.122 TD
[(a\))-653(2h)]TJ
-0.0269 Tc 0 -1.12 TD
[(b)37(\))-616(7h15min)]TJ
-0.0081 Tc T*
[(c\))-598(9)55(h)]TJ
-0.0274 Tc T*
[(d)37(\))-617(1)72(1h30min)]TJ
-0.003 Tc -0.07 Tw T*
[(e)61(\))-593(17h 30min)]TJ
/CS3 cs 1 scn
/T1_1 1 Tf
-0.0101 Tc 0 Tw -2.835 -2.239 Td
[(JUSTIFICA)69(TIV)]TJ
-0.0063 Tc 6.46 0 Td
[(A)9(:)-205(______________________________)]TJ
/CS4 cs 1 scn
-0.0159 Tc -0.07 Tw -4.76 -1.171 Td
(Resposta: E)Tj
/T1_2 1 Tf
-0.0004 Tc -0.042 Tw 0 -1.19 TD
(Solu\347\343o: Grandezas , unidades de tempo.)Tj
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59.471 537.953 231.137 -23.357 re
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0.004 0.008 0.008 SCN
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4.905 0 l
12.823 0 m
17.869 0 l
26.628 0 m
31.183 0 l
52.625 0 m
57.67 0 l
66.499 0 m
70.984 0 l
78.762 0 m
83.667 0 l
105.109 0 m
110.155 0 l
118.984 0 m
127.602 0 l
135.38 0 m
144.07 0 l
165.511 0 m
170.557 0 l
179.316 0 m
188.005 0 l
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[(11)-85(1)-1619(1)-85(1)51(1)-1645(1)-341(7)-435(5)-1867(1)-349(2)]TJ
0.0029 Tc 26.832 -0.63 Td
[(17,)-97(5)]TJ
-26.832 -0.784 Td
[(7)-2719(5)-4347(5)-1006(7)-4372(35)-989(35)-4347(35)]TJ
/T1_5 1 Tf
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(x)Tj
4.4058 Tc -23.849 -0.784 Td
[(xx)-1534(x)-2489(x)]TJ
/T1_6 1 Tf
1.0875 Tc -0.861 0.784 Td
[(+=)51(\001)1073(\001)]TJ
1.0245 Tc 4.466 0 Td
[(\002=)14(\212)5(\001)1002(\001)1803(\002=)-489(\212)-455(\001)1010(\001)1795(\002=)-515(\001)1002(\001)]TJ
0.8711 Tc 19.075 0 Td
(\002=)Tj
/CS4 cs 1 scn
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(x=17h30min)Tj
/CS3 cs 1 scn
/T1_3 1 Tf
-0.0063 Tc -1.151 -1.191 Td
(___________________________________________)Tj
/CS4 cs 1 scn
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[(5)47(0)47(\))-1486(Seja a express\343o )]TJ
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(y)Tj
/T1_0 1 Tf
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( =)Tj
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1.201 0.72 m
4.085 -4.085 l
4.085 -4.085 m
7.329 8.53 l
7.329 8.53 m
41.693 8.53 l
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0 0 m
1.672 0.966 l
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7.169 8.82 l
41.58 8.82 l
41.58 8.215 l
7.646 8.215 l
4.54 -4.229 l
3.942 -4.229 l
1.075 0.241 l
0.238 -0.242 l
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0.004 0.008 0.008 SCN
0.12 w
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1.202 0.84 l
1.202 0.84 m
4.085 -5.288 l
4.085 -5.288 m
7.329 10.933 l
7.329 10.933 m
66.805 10.933 l
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0 0 m
1.673 1.209 l
4.182 -3.987 l
7.169 11.237 l
66.552 11.237 l
66.552 10.632 l
7.647 10.632 l
4.54 -5.437 l
3.943 -5.437 l
1.075 0.363 l
0.239 -0.241 l
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0.004 0.008 0.008 SCN
0.12 w
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0 0 m
1.201 1.081 l
1.201 1.081 m
4.084 -6.488 l
4.084 -6.488 m
7.329 13.338 l
7.329 13.338 m
92.758 13.338 l
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Q
Q
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0 0 m
1.673 1.45 l
4.182 -4.833 l
7.169 13.532 l
92.361 13.532 l
92.361 12.928 l
7.647 12.928 l
4.541 -6.645 l
3.943 -6.645 l
0.956 0.362 l
0.239 -0.242 l
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q
0.9945 0 0 1.0056 0 0 cm
0.004 0.008 0.008 SCN
0.12 w
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0 0 m
1.202 1.202 l
1.202 1.202 m
4.085 -7.569 l
4.085 -7.569 m
7.329 15.741 l
7.329 15.741 m
124.239 15.741 l
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Q
Q
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0 0 m
1.673 1.691 l
4.182 -5.679 l
7.169 15.948 l
123.666 15.948 l
123.666 15.344 l
7.647 15.344 l
4.541 -7.733 l
3.943 -7.733 l
1.076 0.604 l
0.359 -0.242 l
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/T1_4 1 Tf
0.001 Tc 11.9241 0 0 12.0644 79.891 427.6585 Tm
[(28)-3597(5)-1443(114)-872(7)]TJ
/T1_5 1 Tf
0 Tc 2.585 0 Td
(x)Tj
/T1_6 1 Tf
1.5252 Tc -1.443 0 Td
[(\212+)50(+)-892(+)]TJ
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/T1_0 1 Tf
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(Considerando x = 5, determine o valor de )Tj
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(y)Tj
/T1_0 1 Tf
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( e, em)Tj
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(seguida, marque as afirmativas )Tj
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(corretas)Tj
/T1_0 1 Tf
0 Tc 3.929 0 Td
(.)Tj
-0.0001 Tc -0.04 Tw -17.799 -1.191 Td
[(0)48(1)48(\))-1202(O resultado de )]TJ
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(y)Tj
/T1_0 1 Tf
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( \351 um n\372mero inteiro)Tj
-0.0479 Tc 0 Tw -9.819 -1.188 Td
(02\))Tj
/T1_1 1 Tf
0 Tc 2.551 0 Td
(y)Tj
/T1_0 1 Tf
-0.0001 Tc -0.05 Tw 0.55 0 Td
( \351 um n\372mero cujo valor \351 menor que 6)Tj
-0.0479 Tc 0 Tw -3.101 -1.191 Td
(04\))Tj
/T1_1 1 Tf
0 Tc 2.551 0 Td
(y)Tj
/T1_0 1 Tf
0.0001 Tc -0.0638 Tw 0.55 0 Td
( \351 um n\372mero irracional)Tj
-0.0479 Tc 0 Tw -3.101 -1.191 Td
(08\))Tj
/T1_1 1 Tf
0 Tc 2.551 0 Td
(y)Tj
/T1_0 1 Tf
-0.005 Tc -0.069 Tw 0.544 0 Td
( representa um n\372mero real negativo)Tj
-0.0479 Tc 0 Tw -3.095 -1.19 Td
(16\))Tj
/T1_1 1 Tf
0 Tc 2.551 0 Td
(y)Tj
/T1_0 1 Tf
-0.0001 Tc -0.0443 Tw 0.55 0 Td
( \351 um n\372mero natural maior que 5)Tj
-0.0069 Tc -0.0686 Tw -3.101 -1.191 Td
(A alternativa que apresenta a soma das afirmativas)Tj
/T1_1 1 Tf
-0.0009 Tc 0 Tw 0 -1.188 TD
(corretas)Tj
/T1_0 1 Tf
-0.001 Tc -0.03 Tw 3.946 0 Td
( \351:)Tj
-0.0637 Tc 0 Tw -3.946 -1.191 Td
[(a\))-653(03)]TJ
0 -1.191 TD
[(b\))-653(07)]TJ
-0.0081 Tc T*
[(c\))-598(1)55(5)]TJ
-0.0637 Tc T*
[(d\))-653(27)]TJ
0 -1.188 TD
[(e\))-653(30)]TJ
/CS3 cs 1 scn
/T1_1 1 Tf
-0.0101 Tc -2.835 -2.381 Td
[(JUSTIFICA)69(TIV)]TJ
-0.0063 Tc 6.46 0 Td
[(A)9(:)-205(______________________________)]TJ
/CS4 cs 1 scn
-0.0141 Tc -0.07 Tw -4.76 -1.191 Td
(Resposta: A)Tj
/T1_2 1 Tf
-0.0008 Tc -0.0463 Tw 0 -1.191 TD
(Solu\347\343o: Opera\347\365es com n\372meros reais)Tj
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1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
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0 0 m
0.803 0.401 l
0.803 0.401 m
2.612 -2.612 l
2.612 -2.612 m
4.62 5.356 l
4.62 5.356 m
26.047 5.356 l
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Q
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0 0 m
1.01 0.6 l
2.626 -1.864 l
4.512 5.459 l
26.198 5.459 l
26.198 5.06 l
4.782 5.06 l
2.828 -2.663 l
2.424 -2.663 l
0.606 0.133 l
0.067 -0.199 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
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0 0 m
0.804 0.536 l
0.804 0.536 m
2.611 -3.281 l
2.611 -3.281 m
4.553 6.897 l
4.553 6.897 m
41.714 6.897 l
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Q
Q
q 1 0 0 1 92.659 189.588 cm
0 0 m
1.078 0.666 l
2.694 -2.53 l
4.512 6.857 l
42.024 6.857 l
42.024 6.524 l
4.849 6.524 l
2.896 -3.395 l
2.492 -3.395 l
0.674 0.133 l
0.135 -0.2 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
q 1 0 0 1 76.591 190.682 cm
0 0 m
0.736 0.67 l
0.736 0.67 m
2.544 -4.017 l
2.544 -4.017 m
4.553 8.37 l
4.553 8.37 m
57.918 8.37 l
S
Q
Q
q 1 0 0 1 76.967 189.721 cm
0 0 m
1.011 0.866 l
2.627 -3.062 l
4.513 8.389 l
58.323 8.389 l
58.323 7.989 l
4.782 7.989 l
2.829 -4.127 l
2.492 -4.127 l
0.607 0.2 l
0.135 -0.2 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
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0 0 m
0.737 0.737 l
0.737 0.737 m
2.545 -4.821 l
2.545 -4.821 m
4.553 9.843 l
4.553 9.843 m
77.538 9.843 l
S
Q
Q
q 1 0 0 1 57.841 189.854 cm
0 0 m
1.01 1.066 l
2.627 -3.595 l
4.512 9.92 l
78.055 9.92 l
78.055 9.52 l
4.849 9.52 l
2.829 -4.859 l
2.492 -4.859 l
0.606 0.333 l
0.202 -0.199 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
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0 0 m
0.736 0.401 l
0.736 0.401 m
2.544 -2.612 l
2.544 -2.612 m
4.553 5.356 l
4.553 5.356 m
21.293 5.356 l
S
Q
Q
q 1 0 0 1 189.84 189.388 cm
0 0 m
1.01 0.6 l
2.627 -1.864 l
4.513 5.459 l
21.484 5.459 l
21.484 5.06 l
4.782 5.06 l
2.829 -2.663 l
2.425 -2.663 l
0.606 0.133 l
0.135 -0.199 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
q 1 0 0 1 173.612 190.548 cm
0 0 m
0.805 0.536 l
0.805 0.536 m
2.612 -3.281 l
2.612 -3.281 m
4.621 6.897 l
4.621 6.897 m
37.095 6.897 l
S
Q
Q
q 1 0 0 1 174.553 189.588 cm
0 0 m
1.077 0.666 l
2.693 -2.53 l
4.579 6.857 l
37.377 6.857 l
37.377 6.524 l
4.849 6.524 l
2.896 -3.395 l
2.491 -3.395 l
0.673 0.133 l
0.134 -0.2 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
q 1 0 0 1 154.664 190.682 cm
0 0 m
0.735 0.67 l
0.735 0.67 m
2.544 -4.017 l
2.544 -4.017 m
4.486 8.37 l
4.486 8.37 m
56.579 8.37 l
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Q
Q
q 1 0 0 1 155.426 189.721 cm
0 0 m
1.078 0.866 l
2.694 -3.062 l
4.512 8.389 l
57.043 8.389 l
57.043 7.989 l
4.849 7.989 l
2.896 -4.127 l
2.492 -4.127 l
0.674 0.2 l
0.202 -0.2 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
q 1 0 0 1 249.81 190.415 cm
0 0 m
0.737 0.401 l
0.737 0.401 m
2.546 -2.612 l
2.546 -2.612 m
4.554 5.356 l
4.554 5.356 m
18.95 5.356 l
S
Q
Q
q 1 0 0 1 251.193 189.388 cm
0 0 m
1.011 0.6 l
2.628 -1.864 l
4.513 5.459 l
19.127 5.459 l
19.127 5.06 l
4.783 5.06 l
2.83 -2.663 l
2.493 -2.663 l
0.606 0.133 l
0.135 -0.199 l
f*
Q
q
1.0058 0 0 0.9942 0 0 cm
0.004 0.008 0.008 SCN
0.067 w
q 1 0 0 1 230.795 190.548 cm
0 0 m
0.737 0.536 l
0.737 0.536 m
2.544 -3.281 l
2.544 -3.281 m
4.552 6.897 l
4.552 6.897 m
38.568 6.897 l
S
Q
Q
q 1 0 0 1 232.067 189.588 cm
0 0 m
1.01 0.666 l
2.626 -2.53 l
4.512 6.857 l
38.86 6.857 l
38.86 6.524 l
4.781 6.524 l
2.828 -3.395 l
2.491 -3.395 l
0.606 0.133 l
0.134 -0.2 l
f*
Q
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1.0058 0 0 0.9942 0 0 cm
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