{"id":14728,"date":"2018-04-20T23:01:25","date_gmt":"2018-04-20T22:01:25","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14728"},"modified":"2022-01-09T23:09:33","modified_gmt":"2022-01-09T23:09:33","slug":"copia-e-completa-a-tabela-3","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14728","title":{"rendered":"Copia e completa a tabela"},"content":{"rendered":"<p><ul id='GTTabs_ul_14728' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14728' class='GTTabs_curr'><a  id=\"14728_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14728' ><a  id=\"14728_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_14728'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Copia e completa a tabela, sabendo que <em>m<\/em> e <em>n<\/em> s\u00e3o grandezas inversamente proporcionais.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14729\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14729\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3.png\" data-orig-size=\"584,145\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Tabela\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3.png\" class=\"aligncenter wp-image-14729\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3-300x74.png\" alt=\"\" width=\"320\" height=\"79\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3-300x74.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3.png 584w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14728' onClick='GTTabs_show(1,14728)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14728'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14730\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14730\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b.png\" data-orig-size=\"584,145\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Tabela\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b.png\" class=\"aligncenter wp-image-14730\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b-300x74.png\" alt=\"\" width=\"320\" height=\"79\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b-300x74.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3b.png 584w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>Como as grandezas s\u00e3o inversamente proporcionais, ent\u00e3o \u00e9 constante o produto das medidas correspondentes dessas grandezas.\u00a0Assim, temos:\\[\\begin{array}{*{20}{l}}{m \\times n = 2 \\times 75}&amp; \\Leftrightarrow &amp;{m \\times n = 150}\\end{array}\\]<\/p>\n<p>Donde se obt\u00e9m sucessivamente os valores em falta na tabela:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{3 \\times n = 150}&amp; \\Leftrightarrow &amp;{n = \\frac{{150}}{3}}\\\\{}&amp; \\Leftrightarrow &amp;{n = 50}\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{ &#8211; 5 \\times n = 150}&amp; \\Leftrightarrow &amp;{n = \\frac{{150}}{{ &#8211; 5}}}\\\\{}&amp; \\Leftrightarrow &amp;{n = &#8211; 30}\\end{array}\\]<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{\\frac{1}{5} \\times n = 150}&amp; \\Leftrightarrow &amp;{n = 5 \\times 150}\\\\{}&amp; \\Leftrightarrow &amp;{n = 750}\\end{array}\\]<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14728' onClick='GTTabs_show(0,14728)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Copia e completa a tabela, sabendo que m e n s\u00e3o grandezas inversamente proporcionais. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14731,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14728","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-proporcionalidade-inversa-2"],"views":1577,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag114-3a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14728","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=14728"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14728\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14731"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14728"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}