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
Haya Pretty, hapa kuna suluhisho la swali lako la trigonometry: Swali: Ukipewa (90-X)^ = 0.8, ambapo X ni pembe kali, pata thamani ya X^ bila kutumia jedwali za hisabati. Step 1: Tumia utambulisho wa trigonometric. Tunajua kuwa (90^ - ) = . Kwa hivyo, (90^ - X^) = X^. Kutokana na swali, (90^ - X^) = 0.8. Hii inamaanisha X^ = 0.8. Step 2: Badilisha thamani ya desimali kuwa sehemu na uwakilishe katika pembetatu mraba. X^ = 0.8 = (8)/(10) = (4)/(5). Katika pembetatu mraba, X^ = upande wa karibuhypotenuse. Hivyo, upande wa karibu ni 4 na hypotenuse ni 5. Step 3: Tumia theorem ya Pythagoras kupata upande wa pili. Wacha upande wa pili uwe O. O^2 + (upande wa karibu)^2 = (hypotenuse)^2 O^2 + 4^2 = 5^2 O^2 + 16 = 25 O^2 = 25 - 16 O^2 = 9 O = sqrt(9) O = 3 (Kwa sababu X ni pembe kali, urefu wa upande lazima uwe chanya). Step 4: Pata thamani ya X^. X^ = upande wa piliupande wa karibu X^ = (3)/(4) Thamani ya X^ ni (3)/(4). 3 done, 2 left today. You're making progress.