An inscribed angle (BAC) is one half the angle of a central angle (BOC) that intercepts the same arc. Therefore, BAC = 34 degrees.
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
<u>Answer</u>
<h3>12 ) $1000</h3><h3 /><h3>13 ) Y-Intercept = 1000</h3><h3> Slope =

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</h3><h3 /><h3>14 )

→

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</h3><h3 /><h3>15 ) The meaning of the slope is the steepness of the line, in this graph, the meaning is 500 over 1.</h3><h3 />
<em>Hope this helps! <3</em>
<h2 />
Answer:
With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.
hope this helps
Step-by-step explanation: