[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144004-105":59,"doc-detail-144004-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","azamath-wiut-27052025","AzaMath - WIUT 27.05.2025","","AzaMath set dated 27.05.2025 provides a list of mathematics problems spanning inequalities, logarithmic equations, trigonometric expressions, algebraic simplification, radicals, and function analysis. It includes tasks such as evaluating expressions, finding slopes and sums of arithmetic sequences, determining trigonometric values via given angles, solving ratio payment and motion speed word problems, computing areas and perimeters of geometric figures, forming quadratic function equations, and applying Kirchhoff’s laws to circuit currents. The collection emphasizes step-by-step solution methods.",{"@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/azamath-wiut-27052025/144004/",{"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/azamath-wiut-27052025/144004.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",21,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are included in the AzaMath problem set?","Question",{"text":113,"@type":114},"The set includes algebra and inequalities, logarithms and radicals, trigonometry, function and geometry problems, word problems involving ratios and motion, and circuit current problems using Kirchhoff’s laws.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are trigonometry questions typically framed here?",{"text":118,"@type":114},"Several problems ask for values of trigonometric expressions or angles based on given sine/cosine conditions, including computing cosine of a shifted angle.",{"name":120,"@type":111,"acceptedAnswer":121},"What does the circuit section involve?",{"text":122,"@type":114},"One problem applies Kirchhoff’s laws and provides linear equations to determine the indicated currents in the circuit.","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},144004,1787697907,{"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":19,"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":52},962075114765,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","WIUT 27.05.2025 AzaMath  \n1. log􀯫 (􀝔 + 2) > 2  \n2. 81􀯫 + 6 ∙ 9􀯫 − 27 = 0  \n3. 􀯫2􀯫)3 \u003C 0  \n4. sin4sin6~~ ~~􀯔􀯔cos4cos6~~ ~~􀯔􀯔−11  \n5. log2 (􀝔 + 2) + log2 􀝔 = 2  \n6. { ((􀝕􀝔􀝕11))(􀝔(􀝕11)) 1025  \n7. √􀝔 − 1 + √􀝔 − 4 = √2􀝔 − 1  \n8. Find the value of 􀜽:  \n􀝔 − 8 6 􀜽 ~~ ~~ = ~~ ~~ + ~~ ~~(􀝔 − 2)(􀝔 − 3) 􀝔 − 2 􀝔 − 3  \n9. Find the sum of the first 1000 positive integers.  \n10. If sin 􀜽 = 23, then find the value of cos(90° + 􀜽) .  \n11. Measurements show that the temperature of a distant star is presently 9800° 􀜥 and is decreasing by 10% every 800 years. What will its temperature be in 4000 years?  \n12. Company 􀜣 and company 􀜤 decided to pay the amount of some project in the ratio of 8 to  \n3. Find the amount of money that company 􀜣 has to pay if company 􀜤 paid $9, 300, 000.  \n13. Find the slope of the function if it passes through the points (2; 1) and (4; −3) .  \n14. The car passes 120 􀝇􀝉 in the same amount of time as the truck passes 80 􀝇􀝉 . The difference between their velocities is 15 􀝇􀝉/ℎ . Find the speed of both.  \n15. If the person wants to rent an apartment, he must pay a monthly fee and an additional $220 once. If the person rents the apartment for the whole year and pays $640, what is the amount of the fee the person must pay for a month?  \n16. Find the sum of all positive three-digit integers divisible by 3.  \n17. If in the arithmetic progression {􀜽􀜽13 +􀜽􀜽46==63356, then find 􀜵7.  \n18. In applying Kirchhoff’s laws to the circuit shown, following equations are found. Determine the indicated currents (in 􀜣) .  \n􀜫􀮺 + 􀜫􀮻 + 􀜫􀮼 = 0 2􀜫􀮺 − 5􀜫􀮻 = 6 5􀜫􀮻 − 􀜫􀮼 = −3  \n19. Write the function of the area of this figure.  \n20. If sin 􀜾 = 0.8, find the perimeter of the triangle.  \n21. Find the angle 􀝔 .  \n22. Find the area of the shaded region, if 􀜱􀜤 = 6 and 􀜥 is a midpoint of 􀜱􀜤 .  \n23. Find the equation of the function:  \na) 􀝕 = 􀝔 2 + 4􀝔  \nb) 􀝕 = −􀝔2 + 4􀝔  \nc) 􀝕 = −􀝔2 − 4􀝔  \nd) 􀝕 = 􀝔 2 − 4􀝔  \n24. Write the formula for the diameter.  \nНаши социальные сети","cbCaitNmXKi7IkLH","https://ap.wps.com/l/cbCaitNmXKi7IkLH","pdf",328391,"English","# Problem Set\n## Algebra and Inequalities\n## Logarithms and Radicals\n## Trigonometry\n## Functions and Geometry\n## Word Problems\n## Electrical Circuits (Kirchhoff’s Laws)","[{\"question\":\"What topics are included in the AzaMath problem set?\",\"answer\":\"The set includes algebra and inequalities, logarithms and radicals, trigonometry, function and geometry problems, word problems involving ratios and motion, and circuit current problems using Kirchhoff’s laws.\"},{\"question\":\"How are trigonometry questions typically framed here?\",\"answer\":\"Several problems ask for values of trigonometric expressions or angles based on given sine/cosine conditions, including computing cosine of a shifted angle.\"},{\"question\":\"What does the circuit section involve?\",\"answer\":\"One problem applies Kirchhoff’s laws and provides linear equations to determine the indicated currents in the circuit.\"}]","AzaMath - WIUT 27.05.2025 | PDF"]