Enable contrast version

Tutor profile: Amanda R.

Inactive
Amanda R.
Mechanical Engineering student at PSU
Tutor Satisfaction Guarantee

Questions

Subject: Trigonometry

TutorMe
Question:

The area of a right triangle is 50. One of its angles is 45 degrees. Find the lengths of the sides and hypotenuse of the triangle.

Inactive
Amanda R.
Answer:

Since it is a right triangle that means one of the angles is 90 deg. If another angle is 45 deg that means the remaining angle is also 45 deg Since you know that area for a triangle is 1/2*b*h and you know that the area is also 50 you can set those equal to each other 50 = 1/2 * b* h multiply both sides by 2 100 = b*h or 100/b = h Using law of sines A/sina = B/sinb = C/sinc h/sin(45) = b/sin 45 h = b 100/b = b 100 = b^2 b = 10 100/10 = h 10 = h So that gives you the height and the base which are the two sides of the triangle and then to find the hypotenuse we can use the pythagorean theorem 10^2 + 10^2 = hyp^2 100+100 = hyp^2 200 = hyp^2 Square root both sides to undo square and hypotenuse is approximately 14.14

Subject: Algebra

TutorMe
Question:

Simplify (12x^2-32x)/(3x-8)

Inactive
Amanda R.
Answer:

(12x^2-32x)/(3x-8) First factor (4x(3x-8))/(3x-8) You can see that 3x-8 cancels so 4x is the simplification

Subject: Algebra

TutorMe
Question:

(x-8)/5=2/4 Solve for x

Inactive
Amanda R.
Answer:

(x-8)/5=2/4 First multiply both sides by 5 x-8=10/4 Add 8 to both sides x=10/4+32/4 (8 = 32/4) Then add x=42/4 Simplify x=21/2

Contact tutor

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

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.