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Ratio
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3 : 1
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Find total parts
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3 + 1 = 4
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Split the 32 according to the parts
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4 parts = 32
1 part = 32 ÷ 4
1 part = 8
3 part = 8 x 3 = 24
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Split the 32 into the ratio
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24 : 8
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Answer: 24 : 8
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There are 13 clubs and 52 cards for a probability of 13/52= 1/4 for the first card being a club...
Sin(13π/8) , is in quadrant IV so the angle will be negative, find the reference angle.
<span>sin(13π/8) = -sin(16π/8 - 13π/8) = -sin(3π/8) = -cos(4π/8 - 3π/8) = - cos(π/8). </span>
<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>
<span>-cos(π/8) = -√((√(2) + 2) / 4)</span>
1.71 is your answer hope this helps
Answer:
Option 2
Step-by-step explanation:
Measurement of angles doesn't change after shapes are translated, this is one of the properties of translated angles.
