Answer:
32
Step-by-step explanation:
0+0+32
Answer: 57
Step-by-step explanation:
6{-4[-5+7-(10)]+7}-9
6{-4[-1]+7}-9
6{11}-9
66-9=57
a. θ = 36. 9°
b. θ = 114. 2°
<h3>How to determine the value of theta</h3>
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
Learn more about trigonometric identities here:
brainly.com/question/7331447
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Let θ = m∡I
tan θ = 20/21
tan⁻¹ (20/21) = θ
θ ≈ 43.60° or if you need to round to another decimal point, plug the equation I put in bold into a calculator.