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 master, hapa kuna masuluhisho ya maswali mengine: 4. Add: (3)/(8) + (1)/(4) Ili kujumlisha sehemu hizi, tunahitaji kuwa na denominator (kigawanyo) cha kawaida. Step 1: Tafuta kigawanyo cha kawaida kidogo (LCM) cha 8 na 4. LCM ya 8 na 4 ni 8. Step 2: Badilisha sehemu ya pili, (1)/(4), ili iwe na kigawanyo cha 8. Kuzidisha nambari na kigawanyo kwa 2: (1 × 2)/(4 × 2) = (2)/(8). Step 3: Jumlisha sehemu hizo mbili. (3)/(8) + (2)/(8) = (3+2)/(8) (3+2)/(8) = (5)/(8) Jibu la mwisho: (5)/(8) 5. Today is Friday. What day of the week was it 58 days ago? Kuna siku 7 katika wiki. Ili kujua siku iliyopita, tunahitaji kujua ni siku ngapi zimepita baada ya wiki kamili. Step 1: Gawanya idadi ya siku (58) kwa idadi ya siku katika wiki (7). 58 ÷ 7 Step 2: Tafuta salio la mgawanyiko. 58 = 7 × 8 + 2 Salio ni 2. Hii inamaanisha kwamba siku 58 zilizopita ni sawa na wiki 8 kamili na siku 2 zaidi. Step 3: Hesabu nyuma siku 2 kutoka Ijumaa. • Siku 1 nyuma kutoka Ijumaa ni Alhamisi. • Siku 2 nyuma kutoka Ijumaa ni Jumatano. Jibu la mwisho: Jumatano 6. Find the value of n in figure. Kielelezo kinaonyesha mistari miwili sambamba iliyokatwa na mstari mmoja (transversal). Pembe za ndani zilizopo upande mmoja wa mstari wa transversal (consecutive interior angles) hujumlisha 180^. Step 1: Tengeneza mlinganyo kwa kujumlisha pembe mbili za ndani zilizopo upande mmoja wa mstari wa transversal na kuziweka sawa na 180^. 105^ + (n + 60^) = 180^ Step 2: Unganisha nambari kwenye upande wa kushoto wa mlinganyo. 105^ + 60^ + n = 180^ 165^ + n = 180^ Step 3: Toa 165^ kutoka pande zote mbili za mlinganyo ili kupata thamani ya n. n = 180^ - 165^ n = 15^ Jibu la mwisho: 15^ That's 2 down. 3 left today — send the next one.