Enable contrast version

Tutor profile: Emma E.

Inactive
Emma E.
High School Teacher
Tutor Satisfaction Guarantee

Questions

Subject: Physics (Newtonian Mechanics)

TutorMe
Question:

A water balloon is dropped from a height of 15m. How long will it take to hit the ground?

Inactive
Emma E.
Answer:

To answer this question, let's use the equation: $$ d = \frac{1}{2}gt^{2} + vt $$ where $$ d $$ = distance, $$g$$ = acceleration due to gravity, $$t$$ = time, and $$v$$= initial velocity. In this case, we know that: $$d$$=15m, the height from which the water balloon was dropped. $$v$$=0, because the balloon was dropped, rather than thrown down with an initial speed $$g=9.8 m/s^{2}$$, the acceleration due to gravity Plugging these known values into the original equation gives us: $$15=\frac{1}{2}(9.8)t^{2}+0$$ To simplify this equation, we can simplify first by removing the 0 term. $$15=\frac{1}{2}(9.8)t^{2}$$ Then, multiply both sides of the equation by 2 to remove the fraction, yielding: $$30=(9.8)t^{2}$$ Next, divide both sides of the equation by 9.8, giving: $$3.06=t^{2}$$ Finally, take the square root of both sides, to have: $$1.75=t$$ Therefore, it will take 1.75 seconds for the water balloon to reach the ground.

Subject: Geometry

TutorMe
Question:

An isosceles triangle has an interior angle of 75 degrees. What is the measurement of the largest angle in the triangle?

Inactive
Emma E.
Answer:

All 3 interior angles of a triangle must always add up to 360 degrees. An isosceles triangle has two angles that are the same measurement. We can set up the following equation to determine measurements of the angles of an isosceles triangle: 2y + x = 360. For this problem, let us consider two possible cases: 1) the known 75 degree angle is one of the two that are the same: If the 75 degree angle is one of the two that are the same, then 2(75) +x = 360. Solving this equation, we have x= 210. 2) the known 75 degree angle is not one of the two angles in the triangle that are the same: If the 75 degree angle is not one of the two that are the same, then 2y + 75 = 360. Solving this equation gives y = 142.5 However, the missing angle is larger in the first scenario, where the triangle is composes of two 75 degree angles and another 210 degree angle. As a result, the answer to this question is 210 degrees.

Subject: Algebra

TutorMe
Question:

Solve the equation: $$ 5(x-2)+4=6 $$

Inactive
Emma E.
Answer:

Equations can be solved in a variety of ways. Here is one solution path: First, simplify the equation by subtracting $$ 4 $$ from both sides to have $$ 5(x-2) = 6 $$ Next, utilize the distributive property to multiply $$ 5$$ to both terms inside the parentheses, giving $$ 5x - 10 = 6 $$ Simplify the equation once again by adding 10 to both sides, leaving $$ 5x = 16 $$ Finally, divide the entire equation by 5 to yield $$ x =\frac{16}{5} $$. In this case, the solution is a fraction. The solution can always be verified by plugging in the solution to the original equation, like so: $$ 5 (\frac{16}{5} - 2)+4 = 6 $$

Contact tutor

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

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.