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.
ScanSolve AI Answer
Hapa kuna masuluhisho ya maswali yako: 6. Wanafunzi wa Darasa la 10 walikuwa na wastani wa 9.467. Tumia jedwali za hisabati kutafuta logariti ya wastani huo. Step 1: Tambua nambari ya kupata logariti. Nambari ni 9.467. Step 2: Tafuta logariti ya 9.467 kwa kutumia jedwali za hisabati (log tables). Tabia (characteristic) ni 0, kwa sababu nambari iko kati ya 1 na 10. Mantisa (mantissa) inapatikana kwa kutafuta 94 chini ya 6, kisha kuongeza tofauti ya wastani (mean difference) ya 7. Log ya 9.46 ni 0.9760. Tofauti ya wastani kwa 7 ni 3. Mantisa = 0.9760 + 0.0003 = 0.9763. Kwa hivyo, logariti ya 9.467 ni: 0.9763 7. Eleza 0.00000789 kama nguvu ya 10. Step 1: Sogeza desimali ili kupata nambari kati ya 1 na 10. Tunahitaji kusogeza desimali sehemu 6 kwenda kulia ili kupata 7.89. Step 2: Andika nambari katika mfumo wa kisayansi. Kwa kuwa desimali ilisogezwa kwenda kulia, kiashiria (exponent) kitakuwa hasi. 0.00000789 = 7.89 × 10^-6 Nambari kama nguvu ya 10 ni: 7.89 × 10^-6 8. Urefu wa pembejeo wa trapezi ni 5.6cm. Ikiwa urefu wa pande mbili sambamba ni 12.2cm na 14.4cm mtawalia, tafuta eneo lake. Step 1: Andika fomula ya eneo la trapezi. Eneo la trapezi A = (1)/(2)(a+b)h, ambapo a na b ni urefu wa pande sambamba, na h ni urefu wa pembejeo. Step 2: Badilisha thamani zilizopewa kwenye fomula. a = 12.2 cm b = 14.4 cm h = 5.6 cm A = (1)/(2)(12.2 cm + 14.4 cm)(5.6 cm) Step 3: Jumlisha urefu wa pande sambamba. A = (1)/(2)(26.6 cm)(5.6 cm) Step 4: Fanya kuzidisha. A = 13.3 cm × 5.6 cm A = 74.48 cm^2 Eneo la trapezi ni: 74.48 cm^2 That's 2 down. 3 left today — send the next one.