Week 3 – Math 10 – Trigonometry Ratios.

In math 10, week 3, we went over lots of different things to do with triangles and ratios. Some important details from this are the different types of triangles.

The first one is the Isosceles triangle. This triangle has 2 of the sames sides which only one of the sides different.

Image result for isosceles triangle. Size: 120 x 160. Source: mathstricks12.blogspot.com

The next one is the right triangle, this triangle has one of the inside angles to be 90 degrees. Which is normally on the opposite side of the hypotenuse.

Image result for Right Triangle. Size: 150 x 112. Source: simple.wikipedia.org

The third triangle is the equilateral triangle, this triangle is a triangle that has all equal side lengths. It is also known as a basic or normal triangle. And each side is at a 60 degree angle.

Image result for equilateral trinagle. Size: 172 x 160. Source: mcmillangeometry.blogspot.com

Finally, the last triangle is the scalene triangle. This triangle has all different sides. Each degree is different and each length is different.

Image result for Scalene Triangle. Size: 203 x 100. Source: byjus.com

 

This week we also learned all 3 ratios, them being, Sine ratio, Cosine ration, and the Tangent ratio. The equations for each ratio are…

Sine= opposite/hypotenuse

Cosine= adjacent/hypotenuse

Tangent= opposite/adjacent

 

Week 2 – Math 10 – Exponent Rules

This week I have learned all out the different laws when it comes to exponents. I have learned all 4 laws…

Product Law — Add powers together when multiplying like bases

ex. When you have a question like this 5^3\cdot 5^4 you add both exponents together because they share the same base number which is 5.

So it would be 5^7 which is easier to figure out.

Quotient Law — Subtract powers when dividing like bases

ex. Now, when you have a question like this \frac{5^8}{5^4} you have to divide the exponent which would be 8 divided by 4 which would be 2. But to do this you have to make sure both number has the same base which would be 5.

Power of powers rule — Multiply powers together when raising a power by another exponent

ex. For the power law, if the question is like this (2^4)^2\cdot (2^2)^3 , then you can multiply the powers beside each bracket together so (2^4)^2 you would multiply the 4 and 2 exponent together. Then for the other side (2^2)^3 you would multiply the 2 and 3 exponent together.

So your simplified equation would be 2^8\cdot 2^6

Zero Law— Whenever the exponent = 0 the answer will = 1

ex. 9^0 = 1

Week 1 – Math 10 – How I use math

Math is always used outside of school. One reason how I use math is whenever I need to count my money when shopping. When I shop I need to find out how much tax is and how much money I have. I also would have to figure out if I have enough money to purchase the items I want. Another way I use math is when I am cooking. To cook you need to find out if you can cut a certain amount of a ingredient. How to do this is why using your math skills to chop your recipe in half or double it! Finally, the last reason why I use math in real life is with telling time. To tell time I need to see how much time I need for studying, homework, etc.. So math plays a big part in that. At the end of the day I use math everyday to solve my daily problems and needs.