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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Hapa kuna majibu ya maswali yako: SEHEMU A: Matendo ya namba a) 90255 - 740 = Step 1: Toa nambari. 90255 - 740 = 89515 Jibu: 89515 b) 68152 - 66384 = Step 1: Toa nambari. 68152 - 66384 = 1768 Jibu: 1768 c) 165 × 83 = Step 1: Zidisha nambari. 165 × 83 = 13695 Jibu: 13695 d) 684 ÷ 12 = Step 1: Gawa nambari. 684 ÷ 12 = 57 Jibu: 57 e) (1)/(2) + (1)/(2) = Step 1: Jumlisha sehemu. (1)/(2) + (1)/(2) = (1+1)/(2) = (2)/(2) Step 2: Rahisisha jibu. (2)/(2) = 1 Jibu: 1 f) (7)/(8) - (1)/(8) = Step 1: Toa sehemu. (7)/(8) - (1)/(8) = (7-1)/(8) = (6)/(8) Step 2: Rahisisha jibu. (6)/(8) = (3)/(4) Jibu: (3)/(4) g) (1)/(2) × (1)/(2) = Step 1: Zidisha sehemu. (1)/(2) × (1)/(2) = (1 × 1)/(2 × 2) = (1)/(4) Jibu: (1)/(4) h) (1)/(2) ÷ (1)/(2) = Step 1: Gawa sehemu kwa kuzidisha na kinyume chake. (1)/(2) ÷ (1)/(2) = (1)/(2) × (2)/(1) = (2)/(2) Step 2: Rahisisha jibu. (2)/(2) = 1 Jibu: 1 i) 45.90 - 83.67 = Step 1: Toa nambari za desimali. 45.90 - 83.67 = -37.77 Jibu: -37.77 j) 504 ÷ 28 = Step 1: Gawa nambari. 504 ÷ 28 = 18 Jibu: 18 SEHEMU C: Maumbo 7.0) Chora mstari QP Hili ni agizo la kuchora mstari QP. 8.0) Tafuta mzingo wa umbo lifuatalo. a) Mraba wenye upande wa 4 sm. Step 1: Tumia fomula ya mzingo wa mraba, P = 4 × upande. Step 2: Badilisha urefu wa upande. P = 4 × 4 sm = 16 sm Jibu: 16 sm b) Umbo la mstatili (rectangular prism) lenye vipimo 5 sm, 4 sm, 4 sm. Kutokana na kazi yako, inaonekana unatafuta jumla ya mizingo ya nyuso mbili kuu (kwa mfano, uso wa mbele na uso wa juu). Step 1: Tafuta mzingo wa uso wa mbele (urefu 5 sm, upana 4 sm). P_mbele = 2 × (5 sm + 4 sm) = 2 × 9 sm = 18 sm Step 2: Tafuta mzingo wa uso wa juu (urefu 5 sm, upana 4 sm). P_juu = 2 × (5 sm + 4 sm) = 2 × 9 sm = 18 sm Step 3: Jumlisha mizingo hii miwili. P_jumla = 18 sm + 18 sm = 36 sm Jibu: 36 sm c) Pembetatu yenye pande 7 sm, 5 sm, 8 sm. Step 1: Tumia fomula ya mzingo wa pembetatu, P = upande_1 + upande_2 + upande_3. Step 2: Badilisha urefu wa pande. P = 7 sm + 5 sm + 8 sm = 20 sm Jibu: 20 sm d) Mraba wenye upande wa 13 sm. Step 1: Tumia fomula ya mzingo wa mraba, P = 4 × upande. Step 2: Badilisha urefu wa upande. P = 4 × 13 sm = 52 sm Jibu: 52 sm Last free one today — make it count tomorrow, or type /upgrade for unlimited.