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.
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Haya, nitasuluhisha maswali haya hatua kwa hatua. 11. Eneo la mstatili wenye urefu wa 10 cm na upana wa 6 cm ni lipi? Hatua 1: Tumia fomula ya eneo la mstatili: Eneo = Urefu × Upana. Eneo = 10 cm × 6 cm Hatua 2: Fanya hesabu. Eneo = 60 cm^2 Jibu sahihi ni C. 12. Kiasi cha tufe huhesabiwa kwa kutumia fomula V = (4)/(3) r^3. Ikiwa rediasi ya tufe ni 3 cm, kiasi chake ni kipi? (Tumia = 3.14) Hatua 1: Badilisha maadili ya r na kwenye fomula. V = (4)/(3) × 3.14 × (3 cm)^3 Hatua 2: Hesabu r^3. V = (4)/(3) × 3.14 × 27 cm^3 Hatua 3: Fanya hesabu. V = 4 × 3.14 × (27)/(3) cm^3 V = 4 × 3.14 × 9 cm^3 V = 12.56 × 9 cm^3 V = 113.04 cm^3 Jibu sahihi ni B. 13. Eneo la uso wa mchemraba wenye urefu wa upande wa 4 cm ni lipi? Hatua 1: Tumia fomula ya eneo la uso wa mchemraba: Eneo la Uso = 6s^2, ambapo s ni urefu wa upande. Eneo la Uso = 6 × (4 cm)^2 Hatua 2: Hesabu s^2. Eneo la Uso = 6 × 16 cm^2 Hatua 3: Fanya hesabu. Eneo la Uso = 96 cm^2 Jibu sahihi ni C. 14. Alama zilizopatikana na mwanafunzi katika masomo matano ni: 70, 80, 90, 75, 85. Median ya alama ni ipi? Hatua 1: Panga alama kwa mpangilio wa kupanda. 70, 75, 80, 85, 90 Hatua 2: Tafuta nambari ya kati. Kwa seti ya nambari isiyo na idadi sawa, median ni nambari ya kati. Katika seti hii kuna nambari 5, hivyo nambari ya 3 ni median. Median = 80 Jibu sahihi ni B. Majibu ya mwisho: 11. C) 60 cm^2 12. B) 113.04 cm^3 13. C) 96 cm^2 14. B) 80 3 done, 2 left today. You're making progress.