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Questions in mathematics

📝 Answered - The distance from home plate to second base is about 127.3 ft. 1. How would you find the distance between the bases? 2. Estimate the distance between the bases to the nearest foot. 3. When you hit a home run, how far do you run?

📝 Answered - Suppose \(\theta = \frac{11\pi}{12}\). How do you use the sum identity to find the exact value of \(\sin \theta\)?

📝 Answered - Solve the equation: \[ 7 - 3(5t - 10) = 67 \]

📝 Answered - Use the Remainder Theorem to explain whether or not [tex](x-2)[/tex] is a factor of [tex]F(x) = x^4 - 2x^3 + 3x^2 - 10x + 3[/tex].

📝 Answered - Find the LCM of 8, 9, and 12.

📝 Answered - If [tex]\arctan\left(\frac{3}{5}\right) = K[/tex], find [tex]\tan(K)[/tex].

📝 Answered - Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist. \[ x + 3y = 9 \] \[ 3x - y = 7 \]

📝 Answered - A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83, or a chair and a desk for $77. Find the price of a chair, a table, and a desk.

📝 Answered - Add and simplify: \(\frac{9}{16} + \frac{1}{2} = ?\)

📝 Answered - Simplify the expression: \((−2x^0y^3)(4x^2y^4) + (2y^5)(3xy)^2\)