{"id":11045,"date":"2012-10-26T18:01:05","date_gmt":"2012-10-26T17:01:05","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11045"},"modified":"2022-01-02T01:23:04","modified_gmt":"2022-01-02T01:23:04","slug":"dias-do-ano","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11045","title":{"rendered":"Dias do ano"},"content":{"rendered":"<p><ul id='GTTabs_ul_11045' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11045' class='GTTabs_curr'><a  id=\"11045_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11045' ><a  id=\"11045_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_11045'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o valor de cada uma das seguintes express\u00f5es num\u00e9ricas e descobre a sua rela\u00e7\u00e3o com os dias do ano:<\/p>\n<ol>\n<li>${{{10}^2} + {{11}^2} + {{12}^2}}$<\/li>\n<li>${{{13}^2} + {{14}^2}}$<\/li>\n<li>$\\left( {{{10}^2} + {{11}^2} + {{12}^2} + {{13}^2} + {{14}^2}} \\right) \\div 2 + 1$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11045' onClick='GTTabs_show(1,11045)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11045'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{10}^2} + {{11}^2} + {{12}^2}}&amp; = &amp;{100 + 121 + 144} \\\\ \u00a0 {}&amp; = &amp;{365} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{13}^2} + {{14}^2}}&amp; = &amp;{169 + 196} \\\\ \u00a0 {}&amp; = &amp;{365} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {\\left( {{{10}^2} + {{11}^2} + {{12}^2} + {{13}^2} + {{14}^2}} \\right) \\div 2 + 1}&amp; = &amp;{\\left( {\\left( {{{10}^2} + {{11}^2} + {{12}^2}} \\right) + \\left( {{{13}^2} + {{14}^2}} \\right)} \\right) \\div 2 + 1} \\\\ \u00a0 {}&amp; = &amp;{\\left( {365 + 365} \\right) \\div 2 + 1} \\\\ \u00a0 {}&amp; = &amp;{365 + 1} \\\\ \u00a0 {}&amp; = &amp;{366} \\end{array}$$<\/li>\n<\/ol>\n<p>O valor num\u00e9rico das duas primeiras express\u00f5es corresponde ao n\u00famero de dias de um ano comum.<\/p>\n<p>O valor num\u00e9rico da terceira express\u00e3o corresponde ao n\u00famero de dias de um ano bissexto.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11045' onClick='GTTabs_show(0,11045)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o valor de cada uma das seguintes express\u00f5es num\u00e9ricas e descobre a sua rela\u00e7\u00e3o com os dias do ano: ${{{10}^2} + {{11}^2} + {{12}^2}}$ ${{{13}^2} + {{14}^2}}$ $\\left( {{{10}^2} +&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14096,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,319,142],"series":[],"class_list":["post-11045","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-numeros-inteiros-2","tag-potencias"],"views":1757,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat41.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11045","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11045"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11045\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14096"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11045"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11045"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11045"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11045"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}