This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hapa kuna masuluhisho ya maswali yako: 8. Kwa kutumia rula na dira pekee, chora pembetatu ABC ambapo mstari AB = 5cm, BC = 8cm na pembe ABC = 120°. Pima ukubwa wa pembe BAC. Kama AI, siwezi kuchora au kupima kimwili. Hata hivyo, hapa kuna hatua za ujenzi: Step 1: Chora mstari AB wenye urefu wa 5cm. Step 2: Katika nukta B, chora pembe ya 120° kwa kutumia dira na rula. Step 3: Kwenye mstari wa pembe ya 120°, pima 8cm kutoka B na uweke alama C. Step 4: Unganisha nukta A na C ili kukamilisha pembetatu ABC. Step 5: Pima pembe BAC kwa kutumia protractor. Kwa kuwa siwezi kufanya kipimo halisi, siwezi kukupa thamani kamili ya pembe BAC. 9. Muuzaji analipwa kamisheni ya 8% kwa bidhaa zinazouzwa zaidi ya sh. 20,000. Katika mwezi mmoja, aliuza bidhaa zenye thamani ya 64,000 na mapato yake yote yalikuwa Ksh. 23120. Je, mshahara wake wa msingi ulikuwa kiasi gani? Step 1: Tafuta thamani ya bidhaa zinazostahiki kamisheni. Thamani ya bidhaa zinazostahiki kamisheni = Thamani ya bidhaa zilizouzwa - Kizingiti cha kamisheni = Ksh. 64,000 - Ksh. 20,000 = Ksh. 44,000 Step 2: Kokotoa kamisheni aliyopata. Kamisheni = 8% ya Ksh. 44,000 = 0.08 × 44,000 = Ksh. 3,520 Step 3: Kokotoa mshahara wake wa msingi. Mshahara wa msingi = Mapato yote - Kamisheni = Ksh. 23,120 - Ksh. 3,520 = Ksh. 19,600 Mshahara wake wa msingi ulikuwa: Ksh. 19,600 10. Kampuni ya usafirishaji inatumia mfumo wa matumizi ya mafuta kwa kutumia kanuni ifuatayo: F = (64 a^7 b^9)/(8 a^3 b^3) a) Rahisisha kwa kutumia sheria za viashiria. Step 1: Rahisisha nambari. (64)/(8) = 8 Step 2: Rahisisha vigezo vya a kwa kutumia sheria ya viashiria (x^m)/(x^n) = x^m-n. (a^7)/(a^3) = a^7-3 = a^4 Step 3: Rahisisha vigezo vya b kwa kutumia sheria ya viashiria (x^m)/(x^n) = x^m-n. (b^9)/(b^3) = b^9-3 = b^6 Step 4: Unganisha sehemu zilizorahisishwa. F = 8a^4b^6 Kanuni iliyorahisishwa ni: 8a^4b^6 3 done, 2 left today. You're making progress.