Math – week 9

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This week in math 10 I learned how to use a area model to determine the expansion. You simply plug the first part of the equation to the top of the area model and the second part coming down on the left side. You then create boxes for each term. You then needs to solve each box for example 3m multiplied by 1m squared is equal to 3m to the power of three. You them simplify all these terms to get your answer.

Week 7 math blog post

 

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This week I learned how to find a side length of a right angle triangle if all I knew was a angle and one other side length. In this equation I knew an angle and the opposite side length so I used SOH CAH TOA to figure out that this triangle was a tan question. You want the X in this question to be the numerator in order to do this you recipicate but what you do to one side you must to to the other so once you have recipicated both you are left with 1/tan 8 = x/5 then you divide 5 by tan 8 the answer to that is 35.6 which is the answer to x.

Solving trig equations

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You use sin when you have two of these measurements= a angle, the hypotenuse length, or the opposite side length. SOH stands for Sin, Opposite, Hypotenuse. In the equation we are looking for the angle or x so the equation is Sin x = 3/10. Since we need to figure out x we use the button on our calculator that says sin-1 then times it by 3/10 to get our answer of x.

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You use cos when you have two of these measurements= a angle, the adjacent side length, or the hypotenuse side length. CAH stands for Cos, Adjacent, Hypotenuse. In the equation we are looking for the angle or x so the equation is Cos x = 12/19. Since we need to figure out x we use the button on our calculator that says cos-1 then times it by 12/19 to get our answer of x.

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You use Tan when you have two of these measurements= a angle, the adjacent side length, or the opposite side length. TOA stands for Tan, Opposite, Adjacent. In the equation we are looking for the angle or x so the equation is Tan x = 6/9. Since we need to figure out x we use the button on our calculator that says Tan-1 then times it by 6/9 to get our answer of x.