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Madeline S.

Master's Degree in Medical Sciences - Tutor in Math and Sciences

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Trigonometry

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Question:

In a right triangle ABC with angle A equal to 90 degrees, find angle B and C so that sin(B) = cos(B).

Madeline S.

Answer:

Let b be the length of the side opposite angle B and c the length of the side opposite angle C and h the length of the hypotenuse. sin(B) = b/h and cos(B) = c/h sin(B) = cos(B) means b/h = c/h which gives c = b The two sides are equal in length means that the triangle is isosceles and angles B and C are equal in size of 45 degrees.

Biology

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Question:

Where in the cell does transcription take place? What about translation?

Madeline S.

Answer:

Transcription takes place in the nucleus. Translation takes place on a ribosome in the cytoplasm.

Algebra

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Question:

Find the function for the following points: (1, 3) and (-2, 5) in "y = mx + b" form.

Madeline S.

Answer:

First find the slope: m = (5 - 3) / (-2 - 1) = -2/3 Next, use the point-slope formula to find the equation: y - y1 = m(x - x1) y - 3 = -2/3(x - 1) [multiply each side by 3 to get rid of the fraction] 3y - 9 = -2(x - 1) 3y - 9 = -2x + 2 [Add 9 to each side] 3y = -2x + 11 [simplify by dividing each side by 3] y = -2/3x + 11/3

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