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Tafuta marengo wa umbo. Andika pia to kipenefe cha mistari khuslataha.
Mathematics
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22 stepsHapa kuna majibu ya maswali yako:
SEHEMU A: Matendo ya namba
- a)
Toa nambari.
$$ 90255 - 740 = 89515 $$ Jibu: $\boxed{89515}$- b)
Toa nambari.
$$ 68152 - 66384 = 1768 $$ Jibu: $\boxed{1768}$- c)
Zidisha nambari.
$$ 165 \times 83 = 13695 $$ Jibu: $\boxed{13695}$- d)
Gawa nambari.
$$ 684 \div 12 = 57 $$ Jibu: $\boxed{57}$- e)
Jumlisha sehemu.
$$ \frac{1}{2} + \frac{1}{2} = \frac{1+1}{2} = \frac{2}{2} $$Rahisisha jibu.
$$ \frac{2}{2} = 1 $$ Jibu: $\boxed{1}$- f)
Toa sehemu.
$$ \frac{7}{8} - \frac{1}{8} = \frac{7-1}{8} = \frac{6}{8} $$Rahisisha jibu.
$$ \frac{6}{8} = \frac{3}{4} $$ Jibu: $\boxed{\frac{3}{4}}$- g)
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)
Gawa sehemu kwa kuzidisha na kinyume chake.
$$ \frac{1}{2} \div \frac{1}{2} = \frac{1}{2} \times \frac{2}{1} = \frac{2}{2} $$Rahisisha jibu.
$$ \frac{2}{2} = 1 $$ Jibu: $\boxed{1}$- i)
Toa nambari za desimali.
$$ 45.90 - 83.67 = -37.77 $$ Jibu: $\boxed{-37.77}$- j)
Gawa nambari.
$$ 504 \div 28 = 18 $$ Jibu: $\boxed{18}$SEHEMU C: Maumbo
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7.0) Chora mstari QP Hili ni agizo la kuchora mstari QP.
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8.0) Tafuta mzingo wa umbo lifuatalo.
- a) Mraba wenye upande wa 4 sm.
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Tumia fomula ya mzingo wa mraba, .
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).Tafuta mzingo wa uso wa mbele (urefu 5 sm, upana 4 sm).
$$ P_{\text{mbele}} = 2 \times (5 \text{ sm} + 4 \text{ sm}) = 2 \times 9 \text{ sm} = 18 \text{ sm} $$Tafuta mzingo wa uso wa juu (urefu 5 sm, upana 4 sm).
$$ P_{\text{juu}} = 2 \times (5 \text{ sm} + 4 \text{ sm}) = 2 \times 9 \text{ sm} = 18 \text{ sm} $$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.**Tumia fomula ya mzingo wa pembetatu, .
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.**Tumia fomula ya mzingo wa mraba, .
Badilisha urefu wa upande.
$$ P = 4 \times 13 \text{ sm} = 52 \text{ sm} $$ Jibu: $\boxed{52 \text{ sm}}$
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