Enable contrast version

Tutor profile: Taha B.

Online
Taha B.
Certified Math Teacher Since 2011
Tutor Satisfaction Guarantee

Questions

Subject: Trigonometry

TutorMe
Question:

The London Eye is a large Ferris wheel located on the banks of the Thames River in London, England. Each sealed and air-conditioned passenger capsule holds about 25 passengers. The diameter of the wheel is 135 m, and the wheel takes about half an hour to complete one revolution. a) Determine the exact angle, in radians, that a passenger will travel in 5 min. b) How far does a passenger travel in 5 min? c) How long would it take a passenger to travel 2 radians? d) What is the angular velocity of a passenger, in radians per second? e) What is the angular velocity of a passenger, in degrees per second?

Inactive
Taha B.
Answer:

a) 1 rev. in 0.5 hour = 360° in 0.5 hour = 360 degrees in 30 minutes = 2π radians in 30 minutes 2π rad / 30 min = x rad / 5 min x = 5(2π)/30 rad = π/3 radians b) s = rθ = (67.5 m)(π/3 rad) = 70.5 m (to 1 d.p.) c) ω = Δθ/Δt Δt = Δθ/ω Δt = 2 rads / (2π rad / 30 min) = 9,5 min (to 1 d.p.) d) 2π rad / 30 min = 2π rad / 30(60) sec = π/900 rad/s e) π/900 rad/s = π/900 × (180°/π) °/s = 0.2°/s = (1/5)°/s

Subject: Geometry

TutorMe
Question:

If the formula to convert a Fahrenheit temperature to a Celsius temperature is C = (5/9)(F - 32), then the formula to convert a Celsius temperature to a Fahrenheit temperature is F = (9/5)C + 32. Write a two-column proof to verify this conjecture.

Inactive
Taha B.
Answer:

STATEMENTS REASONS _________________________________________________________________ 1. C = (5/9)(F - 32) 1. Given 2. (9/5)C = (9/5)(5/9)(F - 32) 2. Multiplication Property of Equality 3. (9/5)C = F - 32 3. Substitution Property of Equality 4. (9/5)C + 32 = F - 32 + 32 4. Addition Property of Equality 5. (9/5)C + 32 = F 5. Substitution Property of Equality 6. F = (9/5)C + 32 6. Symmetric Property of Equality

Subject: Algebra

TutorMe
Question:

Find: a) The slope of the line 3x + 2y = 5 algebraically. b) The equation of the line that is perpendicular to the line in part a) and passes through (3,5).

Inactive
Taha B.
Answer:

a) Step 1: Re-arrange the equation of the line so that it is expressed in the y = mx + b form (a.k.a., "slope-intercept-form"): 3x + 2y = 5 2y = -3x + 5 y = (-3/2)x + 5/2 Step 2: The slope of the line is the coefficient of x. In this case, the slope of the line is -3/2 or -1.5. b) Step1: Find the nagative reciprocal of the slope of the line in part a), since two lines that are perpendicular have negative reciprocal slopes. Negative reciprocal of -3/2 is 2/3. Step 2: Use the obtained slope value (m), and the given point to calculate the y-intercept (b). y = mx + b 5 = (2/3)(3) + b 5 = 2 + b b = 3 Step 3: Write the equation of the line using the obtained m and b values. y = (2/3)x + 3

Contact tutor

Send a message explaining your
needs and Taha will reply soon.
Contact Taha

Request lesson

Ready now? Request a lesson.
Start Lesson

FAQs

What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Lesson" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.
BEST IN CLASS SINCE 2015
TutorMe homepage
Made in California by Zovio
© 2013 - 2022 TutorMe, LLC
High Contrast Mode
On
Off