169:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.946932:0.588709:0.946932:0.583601:0.934850:0.583601:0.934850:0.588709:0.000000
Shutterstock:@0.946932:0.583601:0.946932:0.545883:0.935021:0.545883:0.935021:0.583601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.096359:0.100407:0.166716:0.100407:0.166716:0.083769:0.096359:0.083769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.096359:0.120571:0.118454:0.120571:0.118454:0.103671:0.096359:0.103671:0.000000:0.000000:0.000000:0.000000
Un balón de fútbol típico tiene 20 hexágonos y 12 pentágonos. La forma en la que :@0.120094:0.120571:0.716633:0.120571:0.716633:0.104182:0.120094:0.104182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos polígonos se ensamblan da como resultado una estructura esférica, que es :@0.120094:0.137168:0.716536:0.137168:0.716536:0.120779:0.120094:0.120779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocida como icosaedro truncado. Los hexágonos y pentágonos generalmente :@0.120094:0.153764:0.716521:0.153764:0.716521:0.137375:0.120094:0.137375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están cubiertos con paneles de cuero o material sintético. Si el lado de cada polí-:@0.120094:0.170361:0.712526:0.170361:0.712526:0.153972:0.120094:0.153972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gono del balón mide 5,5 pulgadas y las apotemas del pentágono y hexágono son :@0.120094:0.186957:0.716578:0.186957:0.716578:0.170568:0.120094:0.170568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4,8 y 3,8 pulgadas, respectivamente, ¿qué cantidad de material es necesario para :@0.120094:0.203553:0.716519:0.203553:0.716519:0.187164:0.120094:0.187164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cubrir un balón?:@0.120094:0.220150:0.237789:0.220150:0.237789:0.203761:0.120094:0.203761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.096359:0.245653:0.163491:0.245653:0.163491:0.229015:0.096359:0.229015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la cantidad de material necesario, debemos calcular el área de los :@0.096359:0.265817:0.716574:0.265817:0.716574:0.249428:0.096359:0.249428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polígonos regulares que forman el balón.:@0.096359:0.282414:0.398090:0.282414:0.398090:0.266025:0.096359:0.266025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la cantidad de material para cubrir el balón, sumamos las dos áreas :@0.096359:0.665223:0.716484:0.665223:0.716484:0.648834:0.096359:0.648834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicadas por el número de hexágonos y pentágonos que se emplean.:@0.096359:0.681819:0.642790:0.681819:0.642790:0.665430:0.096359:0.665430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;    :@0.273011:0.730931:0.292360:0.730931:0.292360:0.714542:0.273011:0.714542:0.000000:0.000000:0.000000:0.000000:0.000000
Se necesitan 2 211,6 pulgadas cuadradas de material para cubrir el balón.:@0.096359:0.754655:0.632283:0.754655:0.632283:0.738266:0.096359:0.738266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  :@0.096359:0.778374:0.120205:0.778374:0.120205:0.761473:0.096359:0.761473:0.000000:0.000000:0.000000:0.000000
Calcula el área de un decágono de lado 20 cm inscrito en una circunferencia :@0.120094:0.778374:0.716525:0.778374:0.716525:0.761985:0.120094:0.761985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de radio 32,36 cm.:@0.120094:0.794970:0.254339:0.794970:0.254339:0.778581:0.120094:0.778581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución.:@0.096359:0.818689:0.164026:0.818689:0.164026:0.802051:0.096359:0.802051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el perímetro y, aplicando el teorema de Pitágoras, hallamos la apotema; :@0.096359:0.838854:0.716543:0.838854:0.716543:0.822465:0.096359:0.822465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego aplicamos la fórmula para el cálculo del área del polígono.:@0.096359:0.855450:0.567307:0.855450:0.567307:0.839061:0.096359:0.839061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.101418:0.885130:0.110189:0.885130:0.110189:0.868769:0.101418:0.868769:0.000000
h:@0.216590:0.885130:0.226099:0.885130:0.226099:0.868769:0.216590:0.868769:0.000000
a:@0.384227:0.885130:0.393496:0.885130:0.393496:0.868769:0.384227:0.868769:0.000000
P:@0.101418:0.915114:0.110189:0.915114:0.110189:0.898753:0.101418:0.898753:0.000000
p:@0.393590:0.887134:0.398962:0.887134:0.398962:0.877652:0.393590:0.877652:0.000000
=:@0.114453:0.884715:0.124570:0.884715:0.124570:0.867773:0.114453:0.867773:0.000000
(:@0.145864:0.886465:0.125870:0.886465:0.125870:0.864813:0.145864:0.864813:0.000000
):@0.171994:0.886465:0.152000:0.886465:0.152000:0.864813:0.171994:0.864813:0.000000
=:@0.229050:0.884715:0.239166:0.884715:0.239166:0.867773:0.229050:0.867773:0.000000
−:@0.305115:0.884715:0.315232:0.884715:0.315232:0.867773:0.305115:0.867773:0.000000
=:@0.404591:0.884715:0.414708:0.884715:0.414708:0.867773:0.404591:0.867773:0.000000
⋅:@0.447841:0.875947:0.452448:0.875947:0.452448:0.859004:0.447841:0.859004:0.000000
=:@0.114467:0.914699:0.124584:0.914699:0.124584:0.897757:0.114467:0.897757:0.000000
10 20          :@0.126353:0.885130:0.216631:0.885130:0.216631:0.868741:0.126353:0.868741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 36:@0.254609:0.885130:0.294910:0.885130:0.294910:0.868741:0.254609:0.868741:0.000000:0.000000:0.000000:0.000000:0.000000
10           :@0.316378:0.885130:0.384267:0.885130:0.384267:0.868741:0.316378:0.868741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
200 30 78:@0.419094:0.876362:0.494463:0.876362:0.494463:0.859973:0.419094:0.859973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.452540:0.895973:0.461533:0.895973:0.461533:0.879584:0.452540:0.879584:0.000000
200               :@0.127495:0.915114:0.211582:0.915114:0.211582:0.898725:0.127495:0.898725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.295222:0.877459:0.300433:0.877459:0.300433:0.867961:0.295222:0.867961:0.000000
2:@0.334587:0.877459:0.339799:0.877459:0.339799:0.867961:0.334587:0.867961:0.000000
,:@0.272135:0.885130:0.275342:0.885130:0.275342:0.868741:0.272135:0.868741:0.000000
,:@0.472020:0.876361:0.475226:0.876361:0.475226:0.859973:0.472020:0.859973:0.000000
 cm                   :@0.278382:0.915114:0.382406:0.915114:0.382406:0.898725:0.278382:0.898725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.391653:0.917103:0.397025:0.917103:0.397025:0.907621:0.391653:0.907621:0.000000
=:@0.223972:0.914694:0.234089:0.914694:0.234089:0.897752:0.223972:0.897752:0.000000
=:@0.402646:0.914694:0.412763:0.914694:0.412763:0.897752:0.402646:0.897752:0.000000
30 78:@0.237019:0.915109:0.277578:0.915109:0.277578:0.898720:0.237019:0.898720:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.255121:0.915109:0.258328:0.915109:0.258328:0.898720:0.255121:0.898720:0.000000
©:@0.965927:0.249811:0.965927:0.244703:0.953845:0.244703:0.953845:0.249811:0.000000
Shutterstock:@0.965927:0.244703:0.965927:0.206985:0.954016:0.206985:0.954016:0.244703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.168959:0.455748:0.178467:0.455748:0.178467:0.439386:0.168959:0.439386:0.000000
l:@0.213664:0.455748:0.217460:0.455748:0.217460:0.439386:0.213664:0.439386:0.000000
ap:@0.266220:0.455748:0.284648:0.455748:0.284648:0.439386:0.266220:0.439386:0.000000:0.000000
P:@0.168959:0.476507:0.177730:0.476507:0.177730:0.460146:0.168959:0.460146:0.000000
n l:@0.197024:0.476507:0.218087:0.476507:0.218087:0.460146:0.197024:0.460146:0.000000:0.000000:0.000000
P:@0.168959:0.498387:0.177730:0.498387:0.177730:0.482025:0.168959:0.482025:0.000000
P:@0.168959:0.520280:0.177730:0.520280:0.177730:0.503919:0.168959:0.503919:0.000000
A:@0.169788:0.549821:0.179684:0.549821:0.179684:0.533460:0.169788:0.533460:0.000000
Pap:@0.201613:0.541025:0.241085:0.541025:0.241085:0.524664:0.201613:0.524664:0.000000:0.000000:0.000000
A:@0.169788:0.586735:0.179684:0.586735:0.179684:0.570373:0.169788:0.570373:0.000000
=:@0.181416:0.455360:0.191533:0.455360:0.191533:0.438418:0.181416:0.438418:0.000000
=:@0.221824:0.455360:0.231941:0.455360:0.231941:0.438418:0.221824:0.438418:0.000000
=:@0.288794:0.455360:0.298911:0.455360:0.298911:0.438418:0.288794:0.438418:0.000000
= ⋅:@0.183719:0.476120:0.212555:0.476120:0.212555:0.459178:0.183719:0.459178:0.000000:0.000000:0.000000
=:@0.183719:0.497999:0.193836:0.497999:0.193836:0.481057:0.183719:0.481057:0.000000
(:@0.207647:0.499723:0.184152:0.499723:0.184152:0.478071:0.207647:0.478071:0.000000
):@0.237278:0.499723:0.213783:0.499723:0.213783:0.478071:0.237278:0.478071:0.000000
=:@0.183723:0.519857:0.193839:0.519857:0.193839:0.502915:0.183723:0.502915:0.000000
=:@0.186855:0.549399:0.196972:0.549399:0.196972:0.532457:0.186855:0.532457:0.000000
⋅:@0.214865:0.540603:0.219472:0.540603:0.219472:0.523661:0.214865:0.523661:0.000000
=:@0.186855:0.586312:0.196972:0.586312:0.196972:0.569370:0.186855:0.569370:0.000000
⋅:@0.220615:0.577544:0.225222:0.577544:0.225222:0.560602:0.220615:0.560602:0.000000
6;:@0.194706:0.455768:0.207136:0.455748:0.207136:0.439359:0.194706:0.439379:0.000000:0.000000
5 5, ;:@0.234859:0.455768:0.259696:0.455748:0.259696:0.439359:0.234859:0.439379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 8:@0.302402:0.455748:0.325478:0.455748:0.325478:0.439359:0.302402:0.439359:0.000000:0.000000:0.000000
65 5 ,:@0.197019:0.498373:0.226297:0.498378:0.226297:0.481989:0.197019:0.481984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
33:@0.196761:0.520266:0.214654:0.520266:0.214654:0.503877:0.196761:0.503877:0.000000:0.000000
2:@0.217013:0.560651:0.226006:0.560651:0.226006:0.544262:0.217013:0.544262:0.000000
33 448,:@0.201368:0.577939:0.239699:0.577941:0.239699:0.561552:0.201368:0.561550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.174718:0.478507:0.179930:0.478507:0.179930:0.469009:0.174718:0.469009:0.000000
1:@0.174718:0.500389:0.179930:0.500389:0.179930:0.490891:0.174718:0.490891:0.000000
1:@0.174718:0.522263:0.179930:0.522263:0.179930:0.512764:0.174718:0.512764:0.000000
1:@0.177858:0.551823:0.183070:0.551823:0.183070:0.542325:0.177858:0.542325:0.000000
1:@0.207387:0.543022:0.212599:0.543022:0.212599:0.533524:0.207387:0.533524:0.000000
1:@0.177858:0.588717:0.183070:0.588717:0.183070:0.579219:0.177858:0.579219:0.000000
,:@0.311626:0.455748:0.314832:0.455748:0.314832:0.439359:0.311626:0.439359:0.000000
 plg:@0.214872:0.520271:0.242827:0.520271:0.242827:0.503882:0.214872:0.503882:0.000000:0.000000:0.000000:0.000000
2:@0.221622:0.597552:0.230614:0.597552:0.230614:0.581163:0.221622:0.581163:0.000000
79 2 plg:@0.199582:0.616694:0.260228:0.616694:0.260228:0.600305:0.199582:0.600305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.177859:0.618686:0.183071:0.618686:0.183071:0.609188:0.177859:0.609188:0.000000
2:@0.259815:0.609028:0.265027:0.609028:0.265027:0.599529:0.259815:0.599529:0.000000
,:@0.217697:0.616694:0.220903:0.616694:0.220903:0.600305:0.217697:0.600305:0.000000
A:@0.169803:0.616694:0.179699:0.616694:0.179699:0.600332:0.169803:0.600332:0.000000
=:@0.186867:0.616279:0.196984:0.616279:0.196984:0.599337:0.186867:0.599337:0.000000
n:@0.490503:0.455748:0.500011:0.455748:0.500011:0.439386:0.490503:0.439386:0.000000
l:@0.534121:0.455748:0.537917:0.455748:0.537917:0.439386:0.534121:0.439386:0.000000
ap:@0.586676:0.455748:0.605104:0.455748:0.605104:0.439386:0.586676:0.439386:0.000000:0.000000
P:@0.490503:0.476507:0.499274:0.476507:0.499274:0.460146:0.490503:0.460146:0.000000
n l:@0.520761:0.476507:0.541842:0.476507:0.541842:0.460146:0.520761:0.460146:0.000000:0.000000:0.000000
P:@0.490503:0.498387:0.499274:0.498387:0.499274:0.482025:0.490503:0.482025:0.000000
P:@0.490503:0.520280:0.499274:0.520280:0.499274:0.503919:0.490503:0.503919:0.000000
A:@0.491332:0.549821:0.501228:0.549821:0.501228:0.533460:0.491332:0.533460:0.000000
Pap:@0.525368:0.541025:0.567051:0.541025:0.567051:0.524664:0.525368:0.524664:0.000000:0.000000:0.000000
A:@0.491350:0.586735:0.501246:0.586735:0.501246:0.570373:0.491350:0.570373:0.000000
=:@0.502978:0.455360:0.513095:0.455360:0.513095:0.438418:0.502978:0.438418:0.000000
=:@0.542299:0.455360:0.552416:0.455360:0.552416:0.438418:0.542299:0.438418:0.000000
=:@0.609250:0.455360:0.619367:0.455360:0.619367:0.438418:0.609250:0.438418:0.000000
= ⋅:@0.507475:0.476120:0.536310:0.476120:0.536310:0.459178:0.507475:0.459178:0.000000:0.000000:0.000000
=:@0.507475:0.497999:0.517591:0.497999:0.517591:0.481057:0.507475:0.481057:0.000000
(:@0.530290:0.499723:0.506794:0.499723:0.506794:0.478071:0.530290:0.478071:0.000000
):@0.559921:0.499723:0.536426:0.499723:0.536426:0.478071:0.559921:0.478071:0.000000
=:@0.507464:0.519859:0.517581:0.519859:0.517581:0.502917:0.507464:0.502917:0.000000
=:@0.510597:0.549400:0.520714:0.549400:0.520714:0.532458:0.510597:0.532458:0.000000
⋅:@0.540800:0.540604:0.545407:0.540604:0.545407:0.523662:0.540800:0.523662:0.000000
=:@0.510597:0.586313:0.520714:0.586313:0.520714:0.569371:0.510597:0.569371:0.000000
5;:@0.515996:0.455769:0.527579:0.455748:0.527579:0.439359:0.515996:0.439380:0.000000:0.000000
5 5, ;:@0.555321:0.455769:0.580140:0.455748:0.580140:0.439359:0.555321:0.439380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 8:@0.622274:0.455748:0.644769:0.455748:0.644769:0.439359:0.622274:0.439359:0.000000:0.000000:0.000000
55 5 ,:@0.520493:0.498373:0.548938:0.498379:0.548938:0.481990:0.520493:0.481984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
27 5 ,:@0.520493:0.520266:0.541549:0.520272:0.541549:0.503883:0.520493:0.503877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.541850:0.560651:0.550843:0.560651:0.550843:0.544262:0.541850:0.544262:0.000000
2775 38,:@0.525100:0.577939:0.546164:0.577942:0.546164:0.561553:0.525100:0.561550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.496941:0.478507:0.502152:0.478507:0.502152:0.469009:0.496941:0.469009:0.000000
2:@0.496941:0.500389:0.502152:0.500389:0.502152:0.490891:0.496941:0.490891:0.000000
2:@0.496941:0.522263:0.502152:0.522263:0.502152:0.512764:0.496941:0.512764:0.000000
2:@0.500080:0.551823:0.505292:0.551823:0.505292:0.542325:0.500080:0.542325:0.000000
2:@0.531810:0.543022:0.537021:0.543022:0.537021:0.533524:0.531810:0.533524:0.000000
2:@0.500080:0.588717:0.505292:0.588717:0.505292:0.579219:0.500080:0.579219:0.000000
,:@0.630908:0.455748:0.634114:0.455748:0.634114:0.439359:0.630908:0.439359:0.000000
 plg:@0.552163:0.520272:0.580597:0.520272:0.580597:0.503883:0.552163:0.503883:0.000000:0.000000:0.000000:0.000000
2:@0.551604:0.597554:0.560596:0.597554:0.560596:0.581165:0.551604:0.581165:0.000000
52 3 plg:@0.523649:0.616695:0.583701:0.616695:0.583701:0.600306:0.523649:0.600306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.500082:0.618686:0.505293:0.618686:0.505293:0.609188:0.500082:0.609188:0.000000
2:@0.583298:0.609028:0.588509:0.609028:0.588509:0.599529:0.583298:0.599529:0.000000
,:@0.572645:0.577942:0.575851:0.577942:0.575851:0.561553:0.572645:0.561553:0.000000
,:@0.541170:0.616695:0.544377:0.616695:0.544377:0.600306:0.541170:0.600306:0.000000
⋅:@0.557921:0.577527:0.562528:0.577527:0.562528:0.560585:0.557921:0.560585:0.000000
=:@0.510599:0.616280:0.520716:0.616280:0.520716:0.599338:0.510599:0.599338:0.000000
A:@0.491342:0.616695:0.501238:0.616695:0.501238:0.600334:0.491342:0.600334:0.000000
5,5:@0.237634:0.427562:0.254972:0.427562:0.254972:0.414152:0.237634:0.414152:0.000000:0.000000:0.000000
4,8 plg:@0.246238:0.400208:0.246238:0.369916:0.228371:0.369916:0.228371:0.400208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3,8 plg:@0.546650:0.400208:0.546650:0.369916:0.528784:0.369916:0.528784:0.400208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,5:@0.549923:0.427562:0.567262:0.427562:0.567262:0.414152:0.549923:0.414152:0.000000:0.000000:0.000000
La mayoría de los edificios :@0.754293:0.354551:0.932019:0.354551:0.932019:0.339652:0.754293:0.339652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y estructuras en nuestro :@0.754293:0.369639:0.918446:0.369639:0.918446:0.354740:0.754293:0.354740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entorno, como casas, :@0.754293:0.384727:0.898881:0.384727:0.898881:0.369828:0.754293:0.369828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rascacielos, puentes :@0.754293:0.399814:0.890739:0.399814:0.890739:0.384915:0.754293:0.384915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y monumentos, están :@0.754293:0.414902:0.903102:0.414902:0.903102:0.400003:0.754293:0.400003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diseñados en su mayoría :@0.754293:0.429989:0.922617:0.429989:0.922617:0.415090:0.754293:0.415090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con formas poligonales, :@0.754293:0.445077:0.916821:0.445077:0.916821:0.430178:0.754293:0.430178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como rectángulos, :@0.754293:0.460165:0.882396:0.460165:0.882396:0.445266:0.754293:0.445266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos y cuadrados. :@0.754293:0.475252:0.912350:0.475252:0.912350:0.460353:0.754293:0.460353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los arquitectos utilizan :@0.754293:0.490340:0.910574:0.490340:0.910574:0.475441:0.754293:0.475441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conceptos geométricos :@0.754293:0.505427:0.916437:0.505427:0.916437:0.490528:0.754293:0.490528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para crear diseños :@0.754293:0.520515:0.878729:0.520515:0.878729:0.505616:0.754293:0.505616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcionales y estéticos. :@0.754293:0.535603:0.910941:0.535603:0.910941:0.520704:0.754293:0.520704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina :@0.754293:0.693608:0.811469:0.693608:0.811469:0.678734:0.754293:0.678734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un emprendimiento tuyo, :@0.754293:0.708695:0.918381:0.708695:0.918381:0.693821:0.754293:0.693821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cómo te puede colaborar :@0.754293:0.723783:0.922116:0.723783:0.922116:0.708909:0.754293:0.708909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la geometría con él?:@0.754293:0.738871:0.881324:0.738871:0.881324:0.723997:0.754293:0.723997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.801769:0.315195:0.883453:0.315195:0.883453:0.298295:0.801769:0.298295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.801594:0.329026:0.876643:0.329026:0.876643:0.312125:0.801594:0.312125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806487:0.329026:0.810111:0.329026:0.810111:0.312125:0.806487:0.312125:0.000000
Ayuda a disminuir la :@0.754293:0.833334:0.892667:0.833334:0.892667:0.818435:0.754293:0.818435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contaminación ambiental. :@0.754293:0.848422:0.932687:0.848422:0.932687:0.833523:0.754293:0.833523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evita productos de un :@0.754293:0.863509:0.904493:0.863509:0.904493:0.848610:0.754293:0.848610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo uso. Procura utilizar :@0.754293:0.878597:0.917828:0.878597:0.917828:0.863698:0.754293:0.863698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
artículos reutilizables. :@0.754293:0.893685:0.900136:0.893685:0.900136:0.878785:0.754293:0.878785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.800494:0.793977:0.878729:0.793977:0.878729:0.777076:0.800494:0.777076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.799024:0.807807:0.876839:0.807807:0.876839:0.790906:0.799024:0.790906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000