What I have learned this week in math

This week in math i have learned how to FOIL polynomials. Foiling is a method used to find the value of a polynomial. FOIL stands for: F – first term in each bracket, O – outside terms, I – inside terms and L – last term in each bracket. An example of a polynomial being foiled below.image

after you do the multiplication part you must add or cancel out like terms. A like term is when two terms are alike, for example 8x and 8x are like terms, 8 and 8 are like terms 8 and 8x are not like terms. To cancel out like terms you add or subtract like terms depending if they are negative or positive.


Something I have learned this week in math

This week I have learned how to find an angle in a triangle using 2 sides. First you must label the triangle and figure out wether to use tan, cos, or sin. For this question you use cos, you also have two sides    (19 an 10) to find angle B I used the formula cos(b)10/19 you then change it to cos^-1(10/19) which equals 58 so angle B is 58 degrees. image

Latex coding

example 1: exponents


Example 2: two digit exponents


example 3: fractions


Example 4: change size


Example 5: adding trig functions

\tan\theta=\frac{9}{12} \sin30^\circ=\frac{x}{2} x=cos^{-1}(\frac{3/4})

exampl 5: changing color

\frac{3}{4} \frac{3}{4}

Something I have learned this week in math 10

This week I have learned how to find the slant height, volume and surface area of a cone. To find the slant height you will use the pythagereum theorem ( A^2 + B^2 = C^2) or 15^2 (height) plus 8^2 (radius) equals C^2 (slant height) 15^2 plus 8^2 = 287 then you will find the square root of 287 which is the slant height.

for volume the formula is 1/3 (area of base) x H or 1/3(pie8^2)15 which equals 1005.3 centimeters cubed which is the volume.

to find surface area the formula is: Pie R^2 + Pie R S or in this case Pie8^2+Pie8(17) to find the approximate value you can just put that into your calculator but to find the exact value you will have to o a little more work. Pie8^2+Pie8(17) = Pie64+Pie136 = Pie200



imageThis is a method I found that gives you greatest common factor and lowest common multiple. First you get two numbers you need to find GCF and or LCM for. (140 and 180) then you must find a common factor for both. (10) then divide both numbers by the common factor (140 turns into 14 and 180 turns into 18) repeat until you have prime factors. To find the GCF you multiply only the numbers on the side. (GCF: 10×2=20 GCF=20) to find LCM you must multiply all of the numbers beside the L shape on the outside. (LCM: 10x2x7x9=1260 LCM=1260)