Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Christian W.
Electrical Engineering Student
Tutor Satisfaction Guarantee
Geometry
TutorMe
Question:

A circle of diameter 6 inches contains a triangle with a vertex A at the center, a vertex B located on the circumference of the circle at an angle of 50 degrees North of West from the center, and a vertex C located on the circumference of the circle at an angle of 10 degrees North of East from the center. Find the arc length s of the arc formed by the circle in between vertex B and vertex C.

Christian W.
Answer:

First, we need the angle of vertex A, as it determines the size of the arc. Angle A = (90 - 50) degrees + (90 - 10) degrees = 120 degrees. We take the complements of the given angles since the angles are given with respect to the horizontal, and we want the angles with respect to the vertical. Since there are 360 degrees in a circle, the arc length is 1/3 of the circumference of the circle since 120/360 = 1/3. The circumference of the circle is 2*pi*(6in / 2) = 6*pi inches. s = (1/3)(6*pi inches) = 2*pi inches which is roughly equivalent to 6.28 inches.

Algebra
TutorMe
Question:

Pump A can fill a pool in 4 hours. Pump B can fill the same pool in twice the time. How long will it take the pumps to fill the pool if they work together?

Christian W.
Answer:

If Pump A can fill a pool in 4 hours, this means it can fill the pool a quarter of the way in an hour. If pump B is twice as fast as pump A, pump B will fill the pool halfway in an hour. If the two pumps are working together, we can add their rates together, to get .25 + .5 = .75. This means that the pumps working together can fill three quarters of the pool in an hour. We can use the equation 1 job = .75 job / hour * time to describe the system. Solving for time, we find that it would take the pumps 1.33 hours if they worked together.

Algebra
TutorMe
Question:

A line in the x-y plane goes through the point (-1 ,-2) has a slope of 3. Find the x and y intercepts of the line.

Christian W.
Answer:

To find the intercepts, we must first find an equation for the line. Since we have a point and a slope, we can immediately find the point slope form equation for the line, y - y1 = m(x - x1). Substituting in our values, the equation is y + 2 = 3(x + 1). To solve for the x intercept, set y equal to 0. After doing this and solving for x, we get x = -1/3. To solve for the y intercept, set x equal to 0. After doing this and solving for y, we get y = 1. x intercept: (-1/3, 0) y intercept: (0, 1)

Send a message explaining your
needs and Christian will reply soon.
Contact Christian
Ready now? Request a lesson.
Start Session
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 Session" 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.