# Tutor profile: Cassandra S.

## Questions

### Subject: Pre-Algebra

If a right triangle has one leg with length 4 and the other leg with length 3, use the pythagorean theorem to solve for the length of the hypotenuse.

a^2+b^2=c^2 If we decide that the first leg is side a, and the second leg is side b, we can plug in our values to get that (4^2)+(3^2)=c^2 (16)+(9)=c^2 25=c^2 5=c The hypotenuse length is 5

### Subject: Basic Chemistry

What is significant about the last column on the periodic table?

The last column of the periodic table contains the noble gases. These are elements that have a full valence shell of electrons. This means that they all have eight electrons in their outer shell with the exception of helium which has two.

### Subject: Algebra

Jonah wants to drive from San Diego to visit his brother. He will travel 237 miles on the freeway at an average speed of 75mph. How much time does Jonah need to make the trip?

x=ry where x=distance, r=rate, and y=time Therefore, y=x/r. Finally, subbing in our distance of 237 miles for x, and 75mph for r, we get that Jonah needs 3.16 hours for his trip.

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