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, hebu tusuluhishe maswali haya. a) Step 1: Tambua uhusiano wa trigonometric. Katika pembetatu ya kulia, tunapewa angle ya 30^, hypotenuse ya 12 cm, na upande x ambao ni kinyume na angle ya 30^. Uhusiano unaofaa ni sine: = upande wa pilihypotenuse. Step 2: Andika equation na badilisha thamani inayojulikana ya 30^. 30^ = (x)/(12) Tunajua 30^ = (1)/(2). (1)/(2) = (x)/(12) Step 3: Suluhisha kwa x. x = (12)/(2) x = 6 cm Jibu la mwisho ni: x = 6 cm b) Step 1: Tambua uhusiano wa trigonometric. Katika pembetatu ya kulia, tunapewa angle ya 45^, upande wa pili (opposite) ni 8 cm, na upande jirani (adjacent) ni x. Uhusiano unaofaa ni tangent: = upande wa piliupande jirani. Step 2: Andika equation na badilisha thamani inayojulikana ya 45^. 45^ = (8)/(x) Tunajua 45^ = 1. 1 = (8)/(x) Step 3: Suluhisha kwa x. x = 8 cm Jibu la mwisho ni: x = 8 cm c) Step 1: Tambua uhusiano wa trigonometric. Katika pembetatu ya kulia, tunapewa angle ya 60^, hypotenuse ya 18 cm, na upande x ambao ni jirani na angle ya 60^. Uhusiano unaofaa ni cosine: = upande jiranihypotenuse. Step 2: Andika equation na badilisha thamani inayojulikana ya 60^. 60^ = (x)/(18) Tunajua 60^ = (1)/(2). (1)/(2) = (x)/(18) Step 3: Suluhisha kwa x. x = (18)/(2) x = 9 cm Jibu la mwisho ni: x = 9 cm That's 2 down. 3 left today — send the next one.