This week I learned how to FOIL.  You FOIL when you are multiplying a binomial by a binomial.

-The F in FOIL stands for Firsts

-The O in FOIL stands for outsides

-The I in FOIL stands for insides

-The L in FOIL stands for lasts

For example:
(3x-1)(x-1)

First you would multiply the firsts, so (3x)(x)

So it would be

Then you would multiply the outsides, so (3x)(-1)

so it would be -3x

Then you would multiply the insides, so (-1)(x)

So it would equal -x

Then you would multiply the lasts, so (-1)(-1)

So it would equal 1

Your equation would look like -3x-x+1

Now you need to simplify

-4x+1

Then your done!

This week in trigonometry I learned how to find the angle in a triangle with only having two side lengths.

If this is your triangle:

First you would have to label it using Hypotenuse, opposite, and adjacent.

-Hypotenuse goes across for the right angle

-Opposite goes across from the angle your trying to find

-Adjacent goes wherever opposite doesn’t go

Then you have to use SOH CAH TOA to find the angle

In this case I would use cosine because the triangle has the side lengths adjacent and hypotenuse.

You would type this into your calculator

The answer is 62 degrees