Mason A.

Portland State University Honors student

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Geometry

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Question:

A right triangle has an angle of 30 degrees and an opposite side length of 20, what are the other two side lengths?

Mason A.

Answer:

Sine= Opposite/Hypotenuse, Tangent= Opposite/Adjacent. Sin 30 =20 / Hypotenuse, therefore, Hypotenuse = 20/Sin 30 =40 Tan 30 =20 / Adjacent, therefore, Adjacent = 20/Tan 30 = 34.64

Physics

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Question:

A force of 40 Newtons is exerted upon a block of 20 Kilograms, what is the acceleration of the block?

Mason A.

Answer:

Newtons Second Law states that Net Force = Mass x Acceleration. In this scenario, Net Force =40 Newtons, and Mass = 20 Kilograms. 30 N = 20kg x A, therefore, A=40N/20kg or 2 m/s/s.

Algebra

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Question:

4(x-4)+5=7 Solve for x.

Mason A.

Answer:

4(x-4) = 4x-16 4x-16+5 = 4x-11 (4x-11)+11=(7)+11 4x = 18, therefore, x=18/4

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