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Rashid I.

Math tutor for children 8-12 grades

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Pre-Calculus

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Question:

Solve the trigonometric equation and find ALL solutions. 2 cos x + 1 = 0

Rashid I.

Answer:

2Pi / 3 + 2n*Pi , 4Pi / 3 + 2n*Pi

Geometry

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Question:

A rectangle has a perimeter of 320 meters and its length L is 3 times its width W. Find the dimensions W and L, and the area of the rectangle.

Rashid I.

Answer:

Use the formula of the perimeter to write. 2 L + 2 W = 320 We now rewrite the statement "its length L is 3 times its width W" into a mathematical equation as follows: L = 3 W We substitute L in the equation 2 L + 2 W = 320 by 3 W. 2(3 W) + 2 W = 320 Expand and group like terms. 8 W = 320 Solve for W. W = 40 meters Use the equation L = 3 W to find L. L = 3 W = 120 meters Use the formula of the area. Area = L W = 120 * 40 = 4800 meters 2

Algebra

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Question:

Simplify the expression 2(a -3) + 4b - 2(a -b -3) + 5

Rashid I.

Answer:

Given the algebraic expression 2(a -3) + 4b - 2(a -b -3) + 5 Multiply factors. = 2a - 6 + 4b -2a + 2b + 6 + 5 Group like terms. = 6b + 5

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