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Tutor profile: Kait B.

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Kait B.
Tutor for 6 years
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Questions

Subject: Trigonometry

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Question:

Write the logarithm in terms of ln 2 and ln 3. ln 6

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Kait B.
Answer:

We know by properties of logarithms that, ln(uv) = ln u + ln v So, in this case let u = 2 and v = 3. Therefore, we can rewrite the ln6 as ln(2*3), which based on our property, can be rewritten as ln 2 + ln 3.

Subject: Geometry

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Question:

What is the area of a trapezoid with base 1 (b1) = 2 in base 2 (b2) = 7in and height (h) = 10 in?

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Kait B.
Answer:

The formula for area of a trapezoid is A = 1/2h(b1 + b2). We know that: b1 = 2 in b2 = 7 in h = 10 in. We can now substitue bot bases and height into out equation. So, A= (1/2)(10)(2 + 7) A=5(9) A=45 in.

Subject: Algebra

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Question:

In one semester, Kate and Joe spend a combined 250 hours in the tutoring lab. If Joe spent 40 more hours in the lab than Kate, how many hours did Kate spend in the lab?

Inactive
Kait B.
Answer:

Let k = # of hours Kate spent in the tutoring lab Let j = # of hours Joe spent in the tutoring lab. We could now form a system of equations to figure out how many hours Kate spent in the lab. k + j = 250 and j = k + 40 Now, substitute the second equation in for j in the first equation. k + (k + 40) =250 combine like terms 2k + 40 = 250 subtract 40 on both sides 2k = 210 divide each side by 2 k = 105 Kate spent 105 hours in the tutoring lab.

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