215:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pruebas tipo Saber:@0.757674:0.043661:0.926911:0.043661:0.926911:0.024916:0.757674:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8. La gráfica dada corresponde a la función::@0.073089:0.136836:0.400087:0.136836:0.400087:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.274885:0.204604:0.279784:0.204604:0.279784:0.195640:0.274885:0.195640:0.000000 -1:@0.271893:0.217819:0.279784:0.217819:0.279784:0.208855:0.271893:0.208855:0.000000:0.000000 -2:@0.271893:0.224574:0.279784:0.224574:0.279784:0.215610:0.271893:0.215610:0.000000:0.000000 -5:@0.271893:0.244847:0.279784:0.244847:0.279784:0.235883:0.271893:0.235883:0.000000:0.000000 -6:@0.271893:0.251602:0.279784:0.251602:0.279784:0.242638:0.271893:0.242638:0.000000:0.000000 -3:@0.271893:0.231329:0.279784:0.231329:0.279784:0.222365:0.271893:0.222365:0.000000:0.000000 -4:@0.271893:0.238084:0.279784:0.238084:0.279784:0.229120:0.271893:0.229120:0.000000:0.000000 -7:@0.271893:0.258357:0.279784:0.258357:0.279784:0.249393:0.271893:0.249393:0.000000:0.000000 -8:@0.271893:0.265112:0.279784:0.265112:0.279784:0.256148:0.271893:0.256148:0.000000:0.000000 -:@0.250035:0.216941:0.253027:0.216941:0.253027:0.207978:0.250035:0.207978:0.000000 p:@0.253027:0.216639:0.259724:0.216639:0.259724:0.209158:0.253027:0.209158:0.000000 -2:@0.220416:0.216941:0.228308:0.216941:0.228308:0.207978:0.220416:0.207978:0.000000:0.000000 p:@0.228308:0.216639:0.235005:0.216639:0.235005:0.209158:0.228308:0.209158:0.000000 2:@0.333580:0.216941:0.338480:0.216941:0.338480:0.207978:0.333580:0.207978:0.000000 p:@0.338480:0.216639:0.345177:0.216639:0.345177:0.209158:0.338480:0.209158:0.000000 p:@0.306421:0.216639:0.313118:0.216639:0.313118:0.209158:0.306421:0.209158:0.000000 2:@0.274885:0.197486:0.279784:0.197486:0.279784:0.188522:0.274885:0.188522:0.000000 3:@0.274885:0.190292:0.279784:0.190292:0.279784:0.181328:0.274885:0.181328:0.000000 4:@0.274885:0.183839:0.279784:0.183839:0.279784:0.174875:0.274885:0.174875:0.000000 5:@0.274885:0.177387:0.279784:0.177387:0.279784:0.168423:0.274885:0.168423:0.000000 6:@0.274885:0.170216:0.279784:0.170216:0.279784:0.161252:0.274885:0.161252:0.000000 7:@0.274885:0.163574:0.279784:0.163574:0.279784:0.154610:0.274885:0.154610:0.000000 8:@0.274885:0.156857:0.279784:0.156857:0.279784:0.147893:0.274885:0.147893:0.000000 a. :@0.104633:0.289301:0.138865:0.289301:0.138865:0.272867:0.104633:0.272867:0.000000:0.000000:0.000000:0.000000:0.000000 y tan x:@0.138792:0.289301:0.197621:0.289301:0.197621:0.272895:0.138792:0.272895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146191:0.288746:0.161524:0.288746:0.161524:0.275030:0.146191:0.275030:0.000000 ( ):@0.185362:0.289301:0.237767:0.289301:0.237767:0.272867:0.185362:0.272867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 p:@0.201505:0.288746:0.232981:0.288746:0.232981:0.275030:0.201505:0.275030:0.000000:0.000000:0.000000 b. :@0.104633:0.319618:0.138865:0.319618:0.138865:0.303184:0.104633:0.303184:0.000000:0.000000:0.000000:0.000000:0.000000 y tan x :@0.138792:0.319618:0.202604:0.319618:0.202604:0.303212:0.138792:0.303212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146191:0.319063:0.161524:0.319063:0.161524:0.305347:0.146191:0.305347:0.000000 2:@0.202546:0.319063:0.217879:0.319063:0.217879:0.305347:0.202546:0.305347:0.000000 p:@0.222150:0.311398:0.232195:0.311398:0.232195:0.300176:0.222150:0.300176:0.000000 3:@0.223505:0.323936:0.230855:0.323936:0.230855:0.310490:0.223505:0.310490:0.000000 c. :@0.104633:0.349934:0.138865:0.349934:0.138865:0.333500:0.104633:0.333500:0.000000:0.000000:0.000000:0.000000:0.000000 y tan x :@0.138792:0.349934:0.199356:0.349934:0.199356:0.333528:0.138792:0.333528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146191:0.349379:0.161524:0.349379:0.161524:0.335663:0.146191:0.335663:0.000000 2:@0.199298:0.349379:0.214631:0.349379:0.214631:0.335663:0.199298:0.335663:0.000000 p:@0.218903:0.341715:0.228949:0.341715:0.228949:0.330493:0.218903:0.330493:0.000000 2:@0.220259:0.354253:0.227608:0.354253:0.227608:0.340807:0.220259:0.340807:0.000000 d. :@0.104633:0.374796:0.138865:0.374796:0.138865:0.358362:0.104633:0.358362:0.000000:0.000000:0.000000:0.000000:0.000000 y tan x:@0.138792:0.374796:0.197621:0.374796:0.197621:0.358389:0.138792:0.358389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.146191:0.374241:0.161524:0.374241:0.161524:0.360525:0.146191:0.360525:0.000000 ( ):@0.185362:0.374796:0.202425:0.374796:0.202425:0.358362:0.185362:0.358362:0.000000:0.000000:0.000000 9. Resuelve la ecuación trigonométrica :@0.073089:0.399657:0.354428:0.399657:0.354428:0.383224:0.073089:0.383224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cos:@0.353316:0.399657:0.375320:0.399657:0.375320:0.383251:0.353316:0.383251:0.000000:0.000000:0.000000 a2:@0.374797:0.399103:0.400825:0.399103:0.400825:0.385387:0.374797:0.385387:0.000000:0.000000 sin:@0.400273:0.399657:0.418864:0.399657:0.418864:0.383251:0.400273:0.383251:0.000000:0.000000:0.000000 2:@0.418349:0.399657:0.427332:0.399657:0.427332:0.383224:0.418349:0.383224:0.000000 a5:@0.426798:0.399103:0.452826:0.399103:0.452826:0.385387:0.426798:0.385387:0.000000:0.000000 0 en :@0.452274:0.399657:0.489813:0.399657:0.489813:0.383224:0.452274:0.383224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el intervalo 0,2 y selecciona la opción que :@0.103217:0.416299:0.489953:0.416299:0.489953:0.399865:0.103217:0.399865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.205156:0.416882:0.209243:0.416882:0.209243:0.399228:0.205156:0.399228:0.000000 p:@0.232933:0.415745:0.245210:0.415745:0.245210:0.402029:0.232933:0.402029:0.000000 4:@0.245928:0.416882:0.250015:0.416882:0.250015:0.399228:0.245928:0.399228:0.000000 corresponde a su conjunto solución.:@0.103235:0.432941:0.360990:0.432941:0.360990:0.416507:0.103235:0.416507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.469333:0.120077:0.469333:0.120077:0.452899:0.104633:0.452899:0.000000:0.000000:0.000000 p:@0.142495:0.461114:0.152540:0.461114:0.152540:0.449892:0.142495:0.449892:0.000000 4:@0.143850:0.473652:0.151200:0.473652:0.151200:0.460206:0.143850:0.460206:0.000000 , :@0.156822:0.469333:0.163983:0.469333:0.163983:0.452899:0.156822:0.452899:0.000000:0.000000 p:@0.168258:0.461114:0.178304:0.461114:0.178304:0.449892:0.168258:0.449892:0.000000 2:@0.169614:0.473652:0.176963:0.473652:0.176963:0.460206:0.169614:0.460206:0.000000 , :@0.182587:0.469333:0.189748:0.469333:0.189748:0.452899:0.182587:0.452899:0.000000:0.000000 p:@0.189656:0.468778:0.201933:0.468778:0.201933:0.455062:0.189656:0.455062:0.000000 b. :@0.104633:0.504831:0.121531:0.504831:0.121531:0.488397:0.104633:0.488397:0.000000:0.000000:0.000000 p:@0.142495:0.497505:0.152540:0.497505:0.152540:0.486283:0.142495:0.486283:0.000000 2:@0.143850:0.510043:0.151200:0.510043:0.151200:0.496597:0.143850:0.496597:0.000000 , :@0.156822:0.504831:0.163983:0.504831:0.163983:0.488397:0.156822:0.488397:0.000000:0.000000 3:@0.166868:0.497959:0.174217:0.497959:0.174217:0.484513:0.166868:0.484513:0.000000 p p:@0.174157:0.497505:0.208570:0.497505:0.208570:0.486283:0.174157:0.486283:0.000000:0.000000:0.000000 2:@0.171868:0.510043:0.179217:0.510043:0.179217:0.496597:0.171868:0.496597:0.000000 , :@0.187089:0.504831:0.194249:0.504831:0.194249:0.488397:0.187089:0.488397:0.000000:0.000000 6:@0.199880:0.510043:0.207230:0.510043:0.207230:0.496597:0.199880:0.496597:0.000000 , :@0.212854:0.504831:0.220014:0.504831:0.220014:0.488397:0.212854:0.488397:0.000000:0.000000 5:@0.222899:0.497959:0.230249:0.497959:0.230249:0.484513:0.222899:0.484513:0.000000 p:@0.230189:0.497505:0.240234:0.497505:0.240234:0.486283:0.230189:0.486283:0.000000 6:@0.227899:0.510043:0.235249:0.510043:0.235249:0.496597:0.227899:0.496597:0.000000 c. :@0.104633:0.541223:0.119708:0.541223:0.119708:0.524789:0.104633:0.524789:0.000000:0.000000:0.000000 2p:@0.141076:0.533004:0.163591:0.533004:0.163591:0.521782:0.141076:0.521782:0.000000:0.000000 2:@0.148651:0.545542:0.156001:0.545542:0.156001:0.532096:0.148651:0.532096:0.000000 , , :@0.166454:0.541223:0.192869:0.541223:0.192869:0.524789:0.166454:0.524789:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.173523:0.540668:0.185800:0.540668:0.185800:0.526952:0.173523:0.526952:0.000000 p:@0.197149:0.533004:0.207195:0.533004:0.207195:0.521782:0.197149:0.521782:0.000000 2:@0.198490:0.545542:0.205839:0.545542:0.205839:0.532096:0.198490:0.532096:0.000000 d. :@0.104633:0.577614:0.121512:0.577614:0.121512:0.561180:0.104633:0.561180:0.000000:0.000000:0.000000 p:@0.142495:0.569395:0.152540:0.569395:0.152540:0.558173:0.142495:0.558173:0.000000 2:@0.143850:0.581933:0.151200:0.581933:0.151200:0.568488:0.143850:0.568488:0.000000 , :@0.156822:0.577614:0.163983:0.577614:0.163983:0.561180:0.156822:0.561180:0.000000:0.000000 p:@0.168258:0.569395:0.178304:0.569395:0.178304:0.558173:0.168258:0.558173:0.000000 3:@0.169614:0.581933:0.176963:0.581933:0.176963:0.568488:0.169614:0.568488:0.000000 , 2:@0.182587:0.577614:0.198657:0.577614:0.198657:0.561180:0.182587:0.561180:0.000000:0.000000:0.000000 p:@0.198565:0.577059:0.210843:0.577059:0.210843:0.563344:0.198565:0.563344:0.000000 10. Un ratón observa a un águila en la copa de un árbol :@0.073089:0.608552:0.490029:0.608552:0.490029:0.592118:0.073089:0.592118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con un ángulo de elevación de 75°. Si la distancia del :@0.103217:0.625193:0.490095:0.625193:0.490095:0.608760:0.103217:0.608760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ratón al árbol es de 5 m. Determina la distancia entre :@0.103217:0.641835:0.490077:0.641835:0.490077:0.625401:0.103217:0.625401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el águila y el ratón.:@0.103217:0.658477:0.238098:0.658477:0.238098:0.642043:0.103217:0.642043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.690763:0.120077:0.690763:0.120077:0.674330:0.104633:0.674330:0.000000:0.000000:0.000000 5:@0.161285:0.683445:0.170268:0.683445:0.170268:0.667011:0.161285:0.667011:0.000000 tan:@0.140227:0.700988:0.164212:0.700988:0.164212:0.684582:0.140227:0.684582:0.000000:0.000000:0.000000 75°:@0.164157:0.700988:0.191344:0.700988:0.191344:0.684554:0.164157:0.684554:0.000000:0.000000:0.000000:0.000000 b. :@0.104633:0.732698:0.121531:0.732698:0.121531:0.716265:0.104633:0.716265:0.000000:0.000000:0.000000 5:@0.161285:0.725381:0.170268:0.725381:0.170268:0.708947:0.161285:0.708947:0.000000 sen:@0.140467:0.742924:0.163973:0.742924:0.163973:0.726518:0.140467:0.726518:0.000000:0.000000:0.000000 75°:@0.163917:0.742924:0.191105:0.742924:0.191105:0.726490:0.163917:0.726490:0.000000:0.000000:0.000000:0.000000 c. :@0.104633:0.774635:0.119708:0.774635:0.119708:0.758201:0.104633:0.758201:0.000000:0.000000:0.000000 5:@0.161285:0.767316:0.170268:0.767316:0.170268:0.750882:0.161285:0.750882:0.000000 tan:@0.140227:0.784859:0.164212:0.784859:0.164212:0.768453:0.140227:0.768453:0.000000:0.000000:0.000000 15°:@0.164157:0.784859:0.191344:0.784859:0.191344:0.768425:0.164157:0.768425:0.000000:0.000000:0.000000:0.000000 d. :@0.104633:0.816569:0.121512:0.816569:0.121512:0.800136:0.104633:0.800136:0.000000:0.000000:0.000000 5:@0.161285:0.809252:0.170268:0.809252:0.170268:0.792818:0.161285:0.792818:0.000000 cos:@0.140761:0.826795:0.163686:0.826795:0.163686:0.810389:0.140761:0.810389:0.000000:0.000000:0.000000 75°:@0.163623:0.826795:0.190810:0.826795:0.190810:0.810362:0.163623:0.810362:0.000000:0.000000:0.000000:0.000000 11. En el triángulo :@0.073089:0.854654:0.211720:0.854654:0.211720:0.838220:0.073089:0.838220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ABC:@0.211267:0.854654:0.239743:0.854654:0.239743:0.838248:0.211267:0.838248:0.000000:0.000000:0.000000 , por la ley del coseno, se cumplen :@0.239688:0.854654:0.489959:0.854654:0.489959:0.838220:0.239688:0.838220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las relaciones: :@0.103217:0.871296:0.206494:0.871296:0.206494:0.854862:0.103217:0.854862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.103210:0.894330:0.111627:0.894330:0.111627:0.879415:0.103210:0.879415:0.000000 2:@0.111567:0.888817:0.116327:0.888817:0.116327:0.880107:0.111567:0.880107:0.000000 b 2:@0.116285:0.894330:0.213078:0.894330:0.213078:0.879390:0.116285:0.879390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.119882:0.893825:0.133822:0.893825:0.133822:0.881357:0.119882:0.881357:0.000000 2:@0.146486:0.888817:0.151247:0.888817:0.151247:0.880107:0.146486:0.880107:0.000000 1:@0.154802:0.893825:0.168742:0.893825:0.168742:0.881357:0.154802:0.881357:0.000000 c:@0.172256:0.894330:0.179217:0.894330:0.179217:0.879415:0.172256:0.879415:0.000000 2:@0.179144:0.888817:0.183904:0.888817:0.183904:0.880107:0.179144:0.880107:0.000000 2:@0.187459:0.893825:0.201398:0.893825:0.201398:0.881357:0.187459:0.881357:0.000000 bc CosA:@0.212995:0.894330:0.263002:0.894330:0.263002:0.879415:0.212995:0.879415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.262979:0.894330:0.265890:0.894330:0.265890:0.879390:0.262979:0.879390:0.000000 b:@0.103220:0.916607:0.111637:0.916607:0.111637:0.901692:0.103220:0.901692:0.000000 2:@0.111567:0.911094:0.116327:0.911094:0.116327:0.902384:0.111567:0.902384:0.000000 :@0.116284:0.916606:0.119949:0.916606:0.119949:0.901666:0.116284:0.901666:0.000000 5 1:@0.119882:0.916102:0.168444:0.916102:0.168444:0.903633:0.119882:0.903633:0.000000:0.000000:0.000000:0.000000 a:@0.137838:0.916606:0.146255:0.916606:0.146255:0.901692:0.137838:0.901692:0.000000 2:@0.146188:0.911094:0.150949:0.911094:0.150949:0.902384:0.146188:0.902384:0.000000 2:@0.150907:0.916606:0.212780:0.916606:0.212780:0.901666:0.150907:0.901666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.171958:0.916606:0.178919:0.916606:0.178919:0.901692:0.171958:0.901692:0.000000 2:@0.178846:0.911094:0.183606:0.911094:0.183606:0.902384:0.178846:0.902384:0.000000 2:@0.187161:0.916102:0.201100:0.916102:0.201100:0.903633:0.187161:0.903633:0.000000 ac CosB:@0.212697:0.916606:0.261750:0.916606:0.261750:0.901692:0.212697:0.901692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.261727:0.916606:0.264639:0.916606:0.264639:0.901666:0.261727:0.901666:0.000000 c:@0.103224:0.938884:0.110185:0.938884:0.110185:0.923969:0.103224:0.923969:0.000000 2:@0.110111:0.933370:0.114871:0.933370:0.114871:0.924660:0.110111:0.924660:0.000000 :@0.114829:0.938883:0.118493:0.938883:0.118493:0.923943:0.114829:0.923943:0.000000 5 1:@0.118426:0.938378:0.166986:0.938378:0.166986:0.925910:0.118426:0.925910:0.000000:0.000000:0.000000:0.000000 a:@0.136382:0.938883:0.144799:0.938883:0.144799:0.923968:0.136382:0.923968:0.000000 2:@0.144732:0.933370:0.149493:0.933370:0.149493:0.924660:0.144732:0.924660:0.000000 b 2:@0.149449:0.938883:0.213587:0.938883:0.213587:0.923943:0.149449:0.923943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.179652:0.933370:0.184413:0.933370:0.184413:0.924660:0.179652:0.924660:0.000000 2:@0.187967:0.938378:0.201907:0.938378:0.201907:0.925910:0.187967:0.925910:0.000000 ab CosC.:@0.213503:0.938883:0.267945:0.938883:0.267945:0.923968:0.213503:0.923968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.724261:0.168221:0.733447:0.168221:0.733447:0.151945:0.724261:0.151945:0.000000 B:@0.621018:0.221730:0.629784:0.221730:0.629784:0.205454:0.621018:0.205454:0.000000 c:@0.748904:0.227495:0.756501:0.227495:0.756501:0.211219:0.748904:0.211219:0.000000 A:@0.840432:0.219969:0.850239:0.219969:0.850239:0.203693:0.840432:0.203693:0.000000 C:@0.837821:0.137927:0.847645:0.137927:0.847645:0.121651:0.837821:0.121651:0.000000 b:@0.839482:0.180771:0.848668:0.180771:0.848668:0.164495:0.839482:0.164495:0.000000 Se sabe que: :@0.544352:0.245781:0.630658:0.245781:0.630658:0.230841:0.544352:0.230841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m C:@0.630531:0.245781:0.666609:0.245781:0.666609:0.230866:0.630531:0.230866:0.000000:0.000000:0.000000 , 5:@0.643751:0.245277:0.684063:0.245277:0.684063:0.232808:0.643751:0.232808:0.000000:0.000000:0.000000 60°, que :@0.666543:0.245781:0.744589:0.245781:0.744589:0.230841:0.666543:0.230841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.744472:0.245781:0.752889:0.245781:0.752889:0.230866:0.744472:0.230866:0.000000 5:@0.752822:0.245277:0.766762:0.245277:0.766762:0.232808:0.752822:0.232808:0.000000 8 y que :@0.766678:0.245781:0.818787:0.245781:0.818787:0.230841:0.766678:0.230841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.818687:0.245781:0.827104:0.245781:0.827104:0.230866:0.818687:0.230866:0.000000 5:@0.827037:0.245277:0.840976:0.245277:0.840976:0.232808:0.827037:0.232808:0.000000 2 . Por tanto, :@0.840893:0.245781:0.930600:0.245781:0.930600:0.230841:0.840893:0.230841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.848992:0.245781:0.857409:0.245781:0.857409:0.230866:0.848992:0.230866:0.000000 podemos concluir que mide::@0.544335:0.260910:0.745292:0.260910:0.745292:0.245970:0.544335:0.245970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.697734:0.260910:0.704696:0.260910:0.704696:0.245995:0.697734:0.245995:0.000000 a. 12:@0.545774:0.277867:0.593867:0.277867:0.593867:0.261433:0.545774:0.261433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 7:@0.545774:0.302729:0.584958:0.302729:0.584958:0.286295:0.545774:0.286295:0.000000:0.000000:0.000000:0.000000:0.000000 c. 4 3:@0.545774:0.327591:0.602984:0.327591:0.602984:0.311157:0.545774:0.311157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 2 3:@0.545774:0.352453:0.602984:0.352453:0.602984:0.336019:0.545774:0.336019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12. La solución del sistema de ecuaciones :@0.514231:0.378493:0.824622:0.378493:0.824622:0.362059:0.514231:0.362059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.834927:0.373512:0.842277:0.373512:0.842277:0.360066:0.834927:0.360066:0.000000 x y:@0.842211:0.373512:0.866835:0.373512:0.866835:0.360089:0.842211:0.360089:0.000000:0.000000:0.000000 2 5:@0.848251:0.373058:0.879320:0.373058:0.879320:0.361836:0.848251:0.361836:0.000000:0.000000:0.000000 4:@0.879245:0.373512:0.886595:0.373512:0.886595:0.360066:0.879245:0.360066:0.000000 x y:@0.838552:0.385596:0.863176:0.385596:0.863176:0.372173:0.838552:0.372173:0.000000:0.000000:0.000000 1 5:@0.844591:0.385142:0.875661:0.385142:0.875661:0.373921:0.844591:0.373921:0.000000:0.000000:0.000000 5:@0.875585:0.385596:0.882935:0.385596:0.882935:0.372150:0.875585:0.372150:0.000000 es::@0.893869:0.378493:0.916675:0.378493:0.916675:0.362059:0.893869:0.362059:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.403355:0.580007:0.403355:0.580007:0.386921:0.545774:0.386921:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.579933:0.403355:0.590628:0.403355:0.590628:0.386949:0.579933:0.386949:0.000000:0.000000 5 :@0.590572:0.402800:0.610415:0.402800:0.610415:0.389085:0.590572:0.389085:0.000000:0.000000 3, :@0.610323:0.403355:0.626393:0.403355:0.626393:0.386921:0.610323:0.386921:0.000000:0.000000:0.000000 y :@0.626301:0.403355:0.637014:0.403355:0.637014:0.386949:0.626301:0.386949:0.000000:0.000000 5 :@0.636959:0.402800:0.656802:0.402800:0.656802:0.389085:0.636959:0.389085:0.000000:0.000000 2:@0.656710:0.403355:0.665692:0.403355:0.665692:0.386921:0.656710:0.386921:0.000000 b. :@0.545774:0.428217:0.580007:0.428217:0.580007:0.411783:0.545774:0.411783:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.579933:0.428217:0.590628:0.428217:0.590628:0.411811:0.579933:0.411811:0.000000:0.000000 5 :@0.590572:0.427662:0.610415:0.427662:0.610415:0.413947:0.590572:0.413947:0.000000:0.000000 1, :@0.610323:0.428217:0.626393:0.428217:0.626393:0.411783:0.610323:0.411783:0.000000:0.000000:0.000000 y :@0.626301:0.428217:0.637014:0.428217:0.637014:0.411811:0.626301:0.411811:0.000000:0.000000 5 :@0.636959:0.427662:0.656802:0.427662:0.656802:0.413947:0.636959:0.413947:0.000000:0.000000 2:@0.656710:0.428217:0.665692:0.428217:0.665692:0.411783:0.656710:0.411783:0.000000 c. :@0.545774:0.453078:0.580007:0.453078:0.580007:0.436644:0.545774:0.436644:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.579933:0.453078:0.590628:0.453078:0.590628:0.436672:0.579933:0.436672:0.000000:0.000000 5 :@0.590572:0.452523:0.610415:0.452523:0.610415:0.438807:0.590572:0.438807:0.000000:0.000000 2, :@0.610323:0.453078:0.626393:0.453078:0.626393:0.436644:0.610323:0.436644:0.000000:0.000000:0.000000 y :@0.626301:0.453078:0.637014:0.453078:0.637014:0.436672:0.626301:0.436672:0.000000:0.000000 5 :@0.636959:0.452523:0.656802:0.452523:0.656802:0.438807:0.636959:0.438807:0.000000:0.000000 3:@0.656710:0.453078:0.665692:0.453078:0.665692:0.436644:0.656710:0.436644:0.000000 d. :@0.545774:0.477940:0.580007:0.477940:0.580007:0.461506:0.545774:0.461506:0.000000:0.000000:0.000000:0.000000:0.000000 x y :@0.579933:0.477940:0.635744:0.477940:0.635744:0.461534:0.579933:0.461534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.590572:0.477385:0.605906:0.477385:0.605906:0.463669:0.590572:0.463669:0.000000 1, :@0.609053:0.477940:0.625123:0.477940:0.625123:0.461506:0.609053:0.461506:0.000000:0.000000:0.000000 5 :@0.635689:0.477385:0.655532:0.477385:0.655532:0.463669:0.635689:0.463669:0.000000:0.000000 4:@0.655440:0.477940:0.664422:0.477940:0.664422:0.461506:0.655440:0.461506:0.000000 13. El sistema de comunicaciones de un pequeño hotel :@0.514231:0.502802:0.931102:0.502802:0.931102:0.486368:0.514231:0.486368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 utiliza los dígitos 2, 3 y 4 para asignar un número de :@0.544359:0.519443:0.930883:0.519443:0.930883:0.503010:0.544359:0.503010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 extensión telefónica de 3 dígitos diferentes a cada :@0.544359:0.536085:0.931023:0.536085:0.931023:0.519651:0.544359:0.519651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 habitación. Cuántas habitaciones tiene el hotel si a :@0.544359:0.552727:0.930684:0.552727:0.930684:0.536293:0.544359:0.536293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cada habitación le correspondió una de estos :@0.544359:0.569369:0.930891:0.569369:0.930891:0.552935:0.544359:0.552935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 números de extensión.:@0.544359:0.586011:0.710409:0.586011:0.710409:0.569577:0.544359:0.569577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 6:@0.545774:0.610871:0.588916:0.610871:0.588916:0.594437:0.545774:0.594437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 12:@0.545774:0.635733:0.597825:0.635733:0.597825:0.619299:0.545774:0.619299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. 9:@0.545774:0.660595:0.588916:0.660595:0.588916:0.644161:0.545774:0.644161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 8:@0.545774:0.685456:0.588916:0.685456:0.588916:0.669022:0.545774:0.669022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 14. ¿De cuántas formas distintas se pueden cubrir los :@0.514231:0.710318:0.931029:0.710318:0.931029:0.693884:0.514231:0.693884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cargos de presidente, vicepresidente y tesorero de un :@0.544359:0.726959:0.930675:0.726959:0.930675:0.710526:0.544359:0.710526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 club de tenis, sabiendo que el total de candidatos es :@0.544359:0.743601:0.931158:0.743601:0.931158:0.727167:0.544359:0.727167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de 12?:@0.544359:0.760243:0.591941:0.760243:0.591941:0.743809:0.544359:0.743809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 480:@0.545774:0.785105:0.602776:0.785105:0.602776:0.768671:0.545774:0.768671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 1200:@0.545774:0.809966:0.611686:0.809966:0.611686:0.793532:0.545774:0.793532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. 620:@0.545774:0.834828:0.602776:0.834828:0.602776:0.818394:0.545774:0.818394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. 1320:@0.545774:0.859689:0.611686:0.859689:0.611686:0.843256:0.545774:0.843256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000