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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Habari Pretty! Ninaona umefanya kazi nzuri kwenye maswali haya. Wacha tuangalie majibu yako. 5) Tafuta umbali katika nautical miles kati ya pointi A(45^ N, 35^ W) na B(45^ N, 100^ E) kando ya sambamba ya latitudo. Kazi yako ni sahihi kabisa. Tofauti ya longitudo ni 35^ + 100^ = 135^. Umbali katika km: D_km = (135^)/(360^) × 2 (6370 km) (45^) ≈ 10609.95 km Umbali katika nm: D_nm = 10609.95 km1.852 km/nm ≈ 5728.97 nm Kukamilisha kwa namba nzima: 5729 nm ✅ Correct. Mahesabu yako yanalandana na jibu sahihi. 6) Tafuta latitudo kusini mwa ikweta ambapo unaposafiri kando ya latitudo kwa 80 nm, mabadiliko ya 2^ katika longitudo hufanywa. Umeandika fomula sahihi: D = ()/(360^) × 2 R Kutoka hapa, unahitaji kupanga upya fomula ili kupata na kisha . Umbali D = 80 nm = 148.16 km. Tofauti ya longitudo = 2^. = (D × 360^)/(2 R ) = 148.16 km × 360^2 (6370 km) × 2^ ≈ 0.66631 = ^-1(0.66631) ≈ 48.21^ Kwa kuwa inatafutwa latitudo kusini mwa ikweta: 48.21^ S ✅ Correct. Fomula yako ni sahihi na jibu la mwisho ni 48.21^ S. 7) Tafuta umbali kati ya pointi P(35^ N, 50^ E) na Q(26^ 30' S, 50^ E) kwenye uso wa Dunia. Kazi yako ni sahihi. Pointi ziko kwenye longitudo moja, kwa hivyo tunatumia fomula ya duara kuu. Tofauti ya latitudo ni 35^ + 26^ 30' = 61.5^. Umbali katika km: D_km = (61.5^)/(360^) × 2 (6370 km) ≈ 6824.96 km Kukamilisha kwa namba nzima: 6825 km Umbali katika nm: D_nm = 6824.96 km1.852 km/nm ≈ 3685.18 nm Kukamilisha kwa namba nzima: 3685 nm ✅ Correct. Mahesabu yako yanalandana na majibu sahihi. That's 2 down. 3 left today — send the next one.