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
Step 1: Andika mlinganyo wa uwiano. Mshahara S unabadilika moja kwa moja na idadi ya siku D anazofanya kazi, na kinyume na mzizi wa pili wa idadi ya saa H anazofanya kazi kwa siku. Hii inaweza kuandikwa kama: S = k (D)/(sqrt(H)) Ambapo k ni kipimo cha uwiano. Step 2: Tafuta kipimo cha uwiano k. Tunapewa S = 1200 anapofanya kazi siku D = 18 na saa H = 6 kwa siku. Badilisha thamani hizi kwenye mlinganyo: 1200 = k (18)/(sqrt(6)) Ili kupata k, tunapanga upya mlinganyo: k = 1200 sqrt(6)18 k = 200 sqrt(6)3 Step 3: Andika mlinganyo kamili wa uwiano. Badilisha thamani ya k kwenye mlinganyo mkuu: S = 200 sqrt(6)3 (D)/(sqrt(H)) Step 4: Kokotoa mshahara mpya. Sasa tunataka kujua mshahara wake anapofanya kazi siku D = 20 na saa H = 4 kwa siku. Badilisha thamani hizi kwenye mlinganyo kamili: S = 200 sqrt(6)3 (20)/(sqrt(4)) S = 200 sqrt(6)3 (20)/(2) S = 200 sqrt(6)3 × 10 S = 2000 sqrt(6)3 Ili kupata thamani ya nambari, tunakokotoa: S ≈ (2000 × 2.4494897)/(3) S ≈ (4898.9794)/(3) S ≈ 1632.99 Mshahara wake mpya ni: 1632.99 Tuma swali linalofuata 📸