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Tafuta marengo wa umbo. Andika pia to kipenefe cha mistari khuslataha.

Mathematics

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Hapa kuna majibu ya maswali yako:

SEHEMU A: Matendo ya namba

  • a) 90255−740=90255 - 740 =
  1. Toa nambari.

    $$
    90255 - 740 = 89515
    $$
    Jibu: $\boxed{89515}$
    
    • b) 68152−66384=68152 - 66384 =
  2. Toa nambari.

    $$
    68152 - 66384 = 1768
    $$
    Jibu: $\boxed{1768}$
    
    • c) 165×83=165 \times 83 =
  3. Zidisha nambari.

    $$
    165 \times 83 = 13695
    $$
    Jibu: $\boxed{13695}$
    
    • d) 684÷12=684 \div 12 =
  4. Gawa nambari.

    $$
    684 \div 12 = 57
    $$
    Jibu: $\boxed{57}$
    
    • e) 12+12=\frac{1}{2} + \frac{1}{2} =
  5. Jumlisha sehemu.

    $$
    \frac{1}{2} + \frac{1}{2} = \frac{1+1}{2} = \frac{2}{2}
    $$
    
  6. Rahisisha jibu.

    $$
    \frac{2}{2} = 1
    $$
    Jibu: $\boxed{1}$
    
    • f) 78−18=\frac{7}{8} - \frac{1}{8} =
  7. Toa sehemu.

    $$
    \frac{7}{8} - \frac{1}{8} = \frac{7-1}{8} = \frac{6}{8}
    $$
    
  8. Rahisisha jibu.

    $$
    \frac{6}{8} = \frac{3}{4}
    $$
    Jibu: $\boxed{\frac{3}{4}}$
    
    • g) 12×12=\frac{1}{2} \times \frac{1}{2} =
  9. Zidisha sehemu.

    $$
    \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4}
    $$
    Jibu: $\boxed{\frac{1}{4}}$
    
    • h) 12÷12=\frac{1}{2} \div \frac{1}{2} =
  10. Gawa sehemu kwa kuzidisha na kinyume chake.

    $$
    \frac{1}{2} \div \frac{1}{2} = \frac{1}{2} \times \frac{2}{1} = \frac{2}{2}
    $$
    
  11. Rahisisha jibu.

    $$
    \frac{2}{2} = 1
    $$
    Jibu: $\boxed{1}$
    
    • i) 45.90−83.67=45.90 - 83.67 =
  12. Toa nambari za desimali.

    $$
    45.90 - 83.67 = -37.77
    $$
    Jibu: $\boxed{-37.77}$
    
    • j) 504÷28=504 \div 28 =
  13. Gawa nambari.

    $$
    504 \div 28 = 18
    $$
    Jibu: $\boxed{18}$
    

    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.
  14. Tumia fomula ya mzingo wa mraba, P=4×upandeP = 4 \times \text{upande}.

  15. Badilisha urefu wa upande.

        $$
        P = 4 \times 4 \text{ sm} = 16 \text{ sm}
        $$
        Jibu: $\boxed{16 \text{ sm}}$
    
    *   **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).
    
  16. Tafuta mzingo wa uso wa mbele (urefu 5 sm, upana 4 sm).

        $$
        P_{\text{mbele}} = 2 \times (5 \text{ sm} + 4 \text{ sm}) = 2 \times 9 \text{ sm} = 18 \text{ sm}
        $$
    
  17. Tafuta mzingo wa uso wa juu (urefu 5 sm, upana 4 sm).

        $$
        P_{\text{juu}} = 2 \times (5 \text{ sm} + 4 \text{ sm}) = 2 \times 9 \text{ sm} = 18 \text{ sm}
        $$
    
  18. Jumlisha mizingo hii miwili.

        $$
        P_{\text{jumla}} = 18 \text{ sm} + 18 \text{ sm} = 36 \text{ sm}
        $$
        Jibu: $\boxed{36 \text{ sm}}$
    
    *   **c) Pembetatu yenye pande 7 sm, 5 sm, 8 sm.**
    
  19. Tumia fomula ya mzingo wa pembetatu, P=upande1+upande2+upande3P = \text{upande}_1 + \text{upande}_2 + \text{upande}_3.

  20. Badilisha urefu wa pande.

        $$
        P = 7 \text{ sm} + 5 \text{ sm} + 8 \text{ sm} = 20 \text{ sm}
        $$
        Jibu: $\boxed{20 \text{ sm}}$
    
    *   **d) Mraba wenye upande wa 13 sm.**
    
  21. Tumia fomula ya mzingo wa mraba, P=4×upandeP = 4 \times \text{upande}.

  22. Badilisha urefu wa upande.

        $$
        P = 4 \times 13 \text{ sm} = 52 \text{ sm}
        $$
        Jibu: $\boxed{52 \text{ sm}}$
    
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