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
Haya hapa masuluhisho ya swali uliyotuma: Swali la 12: Zawadi alisafiri kilomita 512 kwa saa 8 kutembelea ndugu zake. Eleza umbali na muda kama zao la vigawo tasa na utumie kanuni ya kugawanya ya vipeo kutafuta kasi. Acha jibu katika mfumo wa kipeo. Step 1: Eleza umbali (kilomita 512) kama zao la vigawo tasa. Tunatafuta vigawo tasa vya 512. 512 = 2 × 256 256 = 2 × 128 128 = 2 × 64 64 = 2 × 32 32 = 2 × 16 16 = 2 × 8 8 = 2 × 4 4 = 2 × 2 Hivyo, 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^9. Step 2: Eleza muda (saa 8) kama zao la vigawo tasa. Tunatafuta vigawo tasa vya 8. 8 = 2 × 4 = 2 × 2 × 2 = 2^3 Step 3: Tafuta kasi kwa kutumia kanuni ya kugawanya ya vipeo. Kasi hupatikana kwa kugawanya umbali kwa muda. Kasi = UmbaliMuda Kasi = 512 km8 hours Badilisha umbali na muda kwa vigawo vyao tasa: Kasi = (2^9)/(2^3) km/h Tumia kanuni ya kugawanya ya vipeo, ambayo inasema a^m ÷ a^n = a^m-n: Kasi = 2^9-3 km/h Kasi = 2^6 km/h Jibu: Kasi ni 2^6 km/h That's 2 down. 3 left today — send the next one.