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Find the value of 2³ + 4², By selling a phone at 44,000, Jose made a profit of 10%. What was the profit?, Round off 6294.5 to the nearest tens., What is the square root of 0.04?

Mathematics

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Hapa kuna masuluhisho ya maswali yako:

12. Using a protractor, ruler and sharp pencil, draw an angle of 130°.
Hili ni swali la kuchora.

  • Chora mstari wa moja kwa moja (ray) kwa kutumia rula. Huu utakuwa upande mmoja wa pembe.
  • Weka kitovu cha protractor kwenye ncha ya mstari (vertex) na uhakikishe mstari wa 0° wa protractor unalingana na mstari uliouchora.
  • Pima 130° kwenye protractor na uweke alama.
  • Chora mstari wa pili kutoka kwenye ncha ya kwanza hadi kwenye alama ya 130°.
  • Pembe iliyoundwa kati ya mistari miwili itakuwa 130°.

13. Find the value of 24+422^4 + 4^2.

  1. Hesabu thamani ya 242^4.

    24=2×2×2×2=162^4 = 2 \times 2 \times 2 \times 2 = 16
  2. Hesabu thamani ya 424^2.

    42=4×4=164^2 = 4 \times 4 = 16
  3. Jumlisha matokeo.

    16+16=3216 + 16 = 32

    Thamani ni 32\boxed{32}.

    14. By selling a phone at 44,000, Jose made a profit of 10%. What was the profit?
    Bei ya kuuza (Selling Price, SP) ni 44,000. Asilimia ya faida ni 10%.
    Hii inamaanisha kuwa 44,000 inawakilisha 110% ya bei ya kununulia (Cost Price, CP).

  4. Tafuta 1% ya bei ya kununulia.

    110% ya CP=44,000110\% \text{ ya CP} = 44,000 1% ya CP=44,000110=4001\% \text{ ya CP} = \frac{44,000}{110} = 400
  5. Tafuta faida, ambayo ni 10% ya bei ya kununulia.

    Faida=10% ya CP=10×400=4,000\text{Faida} = 10\% \text{ ya CP} = 10 \times 400 = 4,000

    Faida ilikuwa 4,000\boxed{4,000}.

    15. Round off 6294.5 to the nearest tens.
    Ili kuzungusha namba hadi makumi ya karibu, tunatazama tarakimu ya mamoja.

  6. Tambua tarakimu ya makumi, ambayo ni 9.

  7. Tazama tarakimu iliyo kulia kwake (tarakimu ya mamoja), ambayo ni 4.

  8. Kwa kuwa 4 ni chini ya 5, tunabaki na tarakimu ya makumi kama ilivyo na kubadilisha tarakimu zote kulia kwake kuwa sifuri.

    6294.5≈62906294.5 \approx 6290

    Namba iliyozungushwa ni 6290\boxed{6290}.

    16. What is the square root of 0.04?

  9. Badilisha namba ya desimali kuwa sehemu.

    0.04=41000.04 = \frac{4}{100}
  10. Tafuta mzizi wa mraba wa sehemu hiyo.

    0.04=4100\sqrt{0.04} = \sqrt{\frac{4}{100}}
  11. Tafuta mzizi wa mraba wa namba ya juu na namba ya chini.

    4100=4100=210\sqrt{\frac{4}{100}} = \frac{\sqrt{4}}{\sqrt{100}} = \frac{2}{10}
  12. Badilisha sehemu kuwa namba ya desimali.

    210=0.2\frac{2}{10} = 0.2

    Mzizi wa mraba wa 0.04 ni 0.2\boxed{0.2}.

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