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# Tutor profile: Helena B.

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Helena B.
Research fellow at the NIH Framingham Heart Study
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## Questions

### Subject:Pre-Calculus

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Question:

A right triangle has a perimeter of 24 inches with a base of 6 in, a height of x in, and the remaining hypotenuse with a length of y in. 1) Express the area (A) of the triangle with x and y still unknown. 2) Knowing that this triangle is a right triangle, solve x and y. What is the area of the triangle?

Inactive
Helena B.

1) Formula for the area of a triangle is A = (0.5)(base)(height). In this case, base = 6, and height = x. So therefore, the area is = (0.5)(6 in)(x in) = 3x in^2. 2) We can apply the Pythagorean theorem to this triangle, knowing that the most basic Pythagorean triangle has a base of 3 in, a height of 4 in, and a hypotenuse of 5. Knowing that the base of this current triangle is 6 in, there is a factor of 2 between them. So therefore, we can multiply the length of all the legs of the basic Pythagorean triangle by 2. 3 in * 2 = 6 in (given) 4 in (height) * 2 = 8 in → x = 8 in 5 in (hypotenuse) * 2 = 10 in → y = 10 in We can double check this by comparing the numbers we have to the given perimeter. The perimeter is 24 in, and we can add up all the lengths of the sides of the triangle: (6 + 8 + 10) in = 24 in. So therefore, we can find the area from our formula we derived in the first part now knowing the value of x: A = (3)(8) in^2 = 34 in ^2.

### Subject:Writing

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Question:

How can you check if your thesis statement (i.e. the main argument of your paper) makes sense and is properly supported?

Inactive
Helena B.

### Subject:Biology

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Question:

Mary's child, Robert, has a condition called "red-green colorblindness" where he cannot tell the difference between the colors red and green. But the interesting fact is that Mary is not colorblind, Robert's father (Joe, also Mary's husband) is not colorblind, and neither of Mary's parents are colorblind either. How is this possible? Knowing that red-green colorblindness is an X-linked recessive trait: 1) Provide the genotypes of Robert, Mary, Joseph, and Mary's parents (who are grandma and grandpa in this case) 2) Identify if any of the above people are carriers for the trait.

Inactive
Helena B.

1) Mary is XX*. Robert is X*Y. Joe is XY. Mary's mom is XX*. Mary's dad is XY. Where (*) denotes a recessive trait attached to a certain chromosome. 2) In this case, Mary's mom and Mary are carriers for the trait.

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