TutorMe homepage
Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Kristina O.
Math Simplified!
Tutor Satisfaction Guarantee
Trigonometry
TutorMe
Question:

We have a triangle. One of the angles on the triangle is 20 degrees. The length of the side that is opposite of the angle is 65. The length of the hypotenuse and the adjacent side are both unkown. Find the length of the hypotenuse.

Kristina O.
Answer:

We should draw the triangle and think of SOH-CAH-TOA. This means that you find the angle using either: SOH which is $$sin(\alpha)=O/H$$ or CAH which is $$cos(\alpha)=A/H$$ or TOA which is $$tan(\alpha)=O/A$$ In this case: $$\alpha=20$$, O=65, A=unkown, and H=unknown. Since we only know $$\alpha$$ and O and we are looking for H, we should use $$sin(\alpha)=(O/H)$$ to solve. Plug in the numbers: $$sin(20)=65/H$$ or $$H=65/sin(20)$$ Solve for H by plugging into the calculator. The answer should be 190.047. If your answer was 71.198, you should check the mode on your calculator. The mode should be set to DEGREES, not radians.

Basic Math
TutorMe
Question:

Solve: $$3+(10-6)+5*2$$

Kristina O.
Answer:

We need to use PEMDAS to know the order in which to solve this. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, subtraction. Let's begin: Parenthesis: $$(10-6)=4$$ Now we have $$3+4+5*2$$ Exponents: none Multiplication: $$5*2=10$$ Now we have $$3+4+10$$ Division: none Addition: $$3+4+10=24$$ . We solved it!

Algebra
TutorMe
Question:

Please factor the following trinomial: $$3x^(2}+4x-15$$

Kristina O.
Answer:

(Step 1): Look at this as $$ax^{2}+bx+c$$ . We need to find a way to break down bx into two numbers. These two numbers should add up to b, but when multiplied it should equal the same number as when you multiply a and c. In this case, b is 4 and the product of a and c is -45. 9 and (-5) would add up to 4 and when multiplied, it equals -45. (Step 2): Rewrite with bx broken down: $$3x^{2}+9x-5x-15$$ (Step 3): Factor the GCF for each side of the equation: GCF for $$3x^{2}+9x$$ is 3x and GCF for $$-5x-15$$ is -5 (Step 4): Rewrite with GCF factored out of each pair: $$3x(x+3)-5(x+3)$$ (Step 5): Distributive Property - pair the GCF and drop the matching binomial in the parenthesis like so: $$(3x-5)(x+3)$$

Send a message explaining your
needs and Kristina will reply soon.
Contact Kristina
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.
Made in California
© 2018 TutorMe.com, Inc.