this week in math 10 i learned how to find a missing angle in a right triangle. to find the angle the first thing you do is determine whether you use sine, cosine or tangent you do this using the abbreviations SOH CAH TOA the first letter in the abbreviation is which main function you will use (sine, cosine, tangent). the second and third letters are for opposite, hypotenuse and adjacent and which one goes over which for example you have an opposite of 24m long and a hypotenuse of 30m long you would use sine because you only have the opposite(O) and the hypotenuse(H) and 24 would go over 30. after that you move the sin to the other side of the equation but you use inverse sin (sin-1) so its x=sin-1 (24/30) then you use your calculator to determine the answer.
this week in math 10 i learned how to find the missing side length of a right triangle. to do this the first step is to label the hyponenuse, adjacent and the opposite the hypotenuse is the side accross from the right angle, the opposite is the side accross from the angle given and the adjacent is the last side. for step two you find which sides you use for the equation, the two sides you use are the labeled slides. step three you put it into an equation using sin, cos and tan depending on the sides given. for example, tan then the angle = x/the side length given. for step four you multiply both sides of the = by the bottom #. then you are left with somthing like 16(tan34)=x then you type the first part of the equation into your calculator.
this week in math 10, i learned how to find the volume and surface area of a sphere, to find the SA (surface area) you do 4 times /pi times the radias squared. to find the volume you multiply by 4 over 3 by /pi then you multiply it by the radius cubed.
a question i had a problem with was question 9 of lession 9 where you have to find the diameter when you only have the volume, when i got help with it i realized it is super easy you just divide by the first part of the formula (the 4 over 3 and /pi) then you square root the answer to find the radius then multiply it by 2 to find the diameter.
this week in math 10, i learned how to find the surface area of a triangular prism and also all the unit conversions. unit conversions are the thing you need to know most for this unit so it is very important, it tells you the formula you use to convert one measurment into another. to find the surface area of a triangular prism you first find the sum of the area of all the sides, this involves using Pythagorean Theorem and multiplying, the formula for finding the surface area of a triangular prism is 2 times b time height divided by two plus legth time width times legth time width time legth time width then you fill in the spots with the correct numbers and do the equation, then you have your answer.