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Home » To find $\cos \theta$, we use the formula for the dot product: - Baxtercollege

To find $\cos \theta$, we use the formula for the dot product: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A carpenter cuts a 15-meter board into three pieces in the ratio 2:3:5. What is the length of the longest piece?

📌 Total parts: \( 2 + 3 + 5 = 10 \)

📌 Each part: \( 15 \div 10 = 1.5 \) meters

📌 Longest piece: \( 5 \times 1.5 = 7.5 \)

📌 A savings account earns 4% annual interest compounded annually. If $500 is deposited, how much is in the account after 2 years?

📌 Use formula: \( A = P(1 + r)^t \)

📌 \( A = 500(1 + 0.04)^2 = 500(1.04)^2 = 500 \times 1.0816 = 540.80 \)

📌 #### 540.80

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