Solve the triangle (picture provided)

m∠A = 9.1°

m∠B = 10.9°

c = 54.2

The answer is (d)

Step-by-step explanation:

∵ a = 25

∵ b = 30

∵ m∠C = 160°

∴ c² = a² + b² - 2 × ab × cos(C)

∴ c² = 25² + 30² - 2(25)(30) × cos(160) = 2934.5389

∴ c = 54.2

∵ a/sin(A) = b/sin(B) = c/sin(C)

∵ 25/sin(A) = 54.2/sin(160)

∴ sin(A) = (25 × sin(160)) ÷ 54.2 = 0.1577584

∴ m∠A = 9.1°

∵ 30/sin(B) = 54.2/sin(160)

∴ sin(B) = (30 × sin(160)) ÷ 54.2 = 0.18931

∴ m∠B = 10.9°

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.