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Tutor profile: Mariel C.

Mariel C.
Private Tutor for Six Years, Experienced in AP Coursework, ACT/SAT, and College Applications

Questions

Subject: Geometry

TutorMe
Question:

A square is inscribed inside a circle with a radius of 6 units. How do you determine the area of the region of the circle beyond the bounds of the square?

Mariel C.
Answer:

The 6 unit radius of the circle is equivalent to half the length of the diagonal of the square. Using the rules of 45-45-90 triangles, the side length of the square can be determined 6 times the square root of 2. Use that number to determine the area of the square (A = 72). Subtract that quantity from the area of the circle (A = pi * radius squared = 36pi)

Subject: Writing

TutorMe
Question:

WHAT IS IAMBIC PENTAMETER?

Mariel C.
Answer:

An “iamb” is a metrical foot (ie, a “beat”) with two syllables, where the accent of the sound is placed on the second syllable. Readers familiar with the works of Shakespeare will encounter this form frequently. When we add the distinction of “pentameter” the composition changes slightly. Iambic Pentameter refers to lines of verse composed using five iambs (ie, penta = five). The result is then a ten syllable line of poetry, composed of five iambs. **Answer is excerpted from my blog, "The Writer Project"

Subject: Algebra

TutorMe
Question:

How do you determine the value of a quantity raised to an exponential power and then subsequently raised again to an additional power? For example, (X^2)^3

Mariel C.
Answer:

Raising a quantity to a power through exponents is simply repeated multiplication. Start with the exponent furthest outside the parentheses, and visually repeat the quantity within the parentheses - For example, (X^2)^3 becomes X^2 * X^2 * X^2. Count how many "X's" are represented total. The answer is 6.

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