[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144010-105":59,"doc-detail-144010-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","wiut-5-july-2024-azamath","WIUT 5 July 2024 AzaMath","","This document, dated July 5, 2024, from Westminster, appears to be a collection of mathematics problems under the handle @Galaktikamath and @azamath01. It covers a range of topics including algebra, geometry, calculus, and number theory. Specific problems include calculating distances in a water polo scenario, solving various equations involving exponents and logarithms, factoring polynomials, determining conditions for identities and simultaneous equation solutions, and calculating areas of geometric shapes like trapezoids and hexagons after enlargement. The document also features word problems related to purchasing items given their costs and a total budget, as well as determining dimensions of geometric figures from their area. The problems are numbered from 1 to 12, indicating a comprehensive set of exercises designed to test mathematical understanding across multiple disciplines.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/wiut-5-july-2024-azamath/144010/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/wiut-5-july-2024-azamath/144010.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What mathematical topics are covered in this document?","Question",{"text":113,"@type":114},"The document covers a variety of mathematical topics including algebra, geometry, calculus, and number theory, with problems involving equations, factorizations, areas, and more.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Can you provide an example of a geometry problem from the document?",{"text":118,"@type":114},"Yes, problem 7 asks to find the length of the other base of a trapezoid given its area, one base, and height. Problem 12 also involves finding the bigger base of a trapezoid given its area, the smaller base, and height.",{"name":120,"@type":111,"acceptedAnswer":121},"Are there any problems related to word problems or practical applications of mathematics?",{"text":122,"@type":114},"Yes, problem 11 involves a word problem about buying TVs and DVDs given their costs and a total budget, and problem 10 deals with calculating the area of a shaded region after enlarging a hexagon. Problem 1 also relates to a practical scenario in water polo.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},144010,1787697932,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":24},962075114765,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","@Galaktikamath  @azamath01  \nWestminster 5 July 2024  \n1. The diagram shows the positions of three players during part of water polo watch. Player A throws the ball to Player B, who then throws it to Player C. Find the sum of throws (the sum of distances) of Player A and Player B  \n2. Solve the equation: 􀯫32 − 4􀯫82 = 10 (􀯫3 − 4􀯫)  \n3. Find the domain of the given function: 􀝂 (􀝔) = 􀯫~~ ~~2~~ ~~−103􀯫+9  \n4. Solve the equation: log 2 (􀝔 + 3) + log2 (􀝔 − 3) = 4  \n5. Factorize: 􀝔 4 + 􀝔 2 − 2  \n6. Determine the value of 􀜽 that will make this equation an identity  \n 1   2   3   4   5   6   7   8   9   10   􀜽 + + + + + + + + + =  \n􀝔 − 1 1 − 􀝔 􀝔 − 1 1 − 􀝔 􀝔 − 1 1 − 􀝔 􀝔 − 1 1 − 􀝔 􀝔 − 1 1 − 􀝔 􀝔 − 1  \n7. The wildlife sanctuary shown in Figure has a trapezoidal shape with an area of kilometers. If one base, 􀜾1 , of the trapezoid is 10 kilometers and its height is 5 km, find the length of the other base, 􀜾2  \n8. Factorize: (􀝓2 − 1)2 − 11 (􀝓2 − 1) + 24  \n9. For what value of a does this simultaneous equations have one solution {􀜽􀝔􀝔+􀝕􀝕  17  \n10. Side length of a hexagon is 5. It is enlarged by a scale factor of 3. Find the area of the shaded region  \n11. If TV costs 12$ and DVD 15$. Total check was 2850$. Find numbers of TVs and DVDs can be bought  \n12. Bigger base is 􀝔 , smaller base is 􀝔 − 2 , height is 5 cm. If the area of trapezoid is 45 cm2 , find the bigger base of the trapezoid","cbCainB3xQLuGMvU","https://ap.wps.com/l/cbCainB3xQLuGMvU","pdf",217597,"English","# Problems\n1. Water polo throws calculation\n2. Equation solving (exponents)\n3. Function domain determination\n4. Logarithmic equation solving\n5. Polynomial factorization\n6. Identity condition determination\n7. Trapezoid area and base calculation\n8. Polynomial factorization (nested)\n9. Simultaneous equations solution condition\n10. Hexagon enlargement and area calculation\n11. Item purchase calculation\n12. Trapezoid base calculation","[{\"question\":\"What mathematical topics are covered in this document?\",\"answer\":\"The document covers a variety of mathematical topics including algebra, geometry, calculus, and number theory, with problems involving equations, factorizations, areas, and more.\"},{\"question\":\"Can you provide an example of a geometry problem from the document?\",\"answer\":\"Yes, problem 7 asks to find the length of the other base of a trapezoid given its area, one base, and height. Problem 12 also involves finding the bigger base of a trapezoid given its area, the smaller base, and height.\"},{\"question\":\"Are there any problems related to word problems or practical applications of mathematics?\",\"answer\":\"Yes, problem 11 involves a word problem about buying TVs and DVDs given their costs and a total budget, and problem 10 deals with calculating the area of a shaded region after enlarging a hexagon. Problem 1 also relates to a practical scenario in water polo.\"}]","WIUT 5 July 2024 AzaMath | PDF"]