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수학 저 널 :)

수학 저 널 :). Chapter 7 & 8. What is a Ratio? A Ration is a comparison of two numbers. Usually it separates the two numbers is colon (:). It can be writen as a to b, A:B , A/B. Ratio. There is a ratio of 6:5 of red card to green cards. There is a ratio of 10boys to 13 girls in the classroom.

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수학 저 널 :)

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  1. 수학 저널:) Chapter 7 & 8

  2. What is a Ratio? A Ration is a comparison of two numbers. Usually it separates the two numbers is colon (:). It can be writen as a to b, A:B , A/B Ratio There is a ratio of 6:5 of red card to green cards There is a ratio of 10boys to 13 girls in the classroom

  3. What is a Proportion? A Proportion is an equation with ration on this side. It’s a statement that two ratio are equal. Proportion How to solve Proportion? There are two ways to solve a Proportion. Is to use cross multiply and later simplify by diving the coefficient of X that will eventually get you the answer. If there an algebraic thing you will have to do cross multiply later square root it and eventually get you to the answer. Ex. Ex. Ex. = 44 8 = 11 3 = x+4 X 352 X 14 X+4 27 1760 = 44x 112 = 11x 81=(x+4)^2 X = 40 x=11 +/-9=x+4 x= 5, -13 Proportion and Ratios related? The answer would be yes because if you use proportion you are using ratios.

  4. Similarity of Figures To Polygons to be similar it need to corresponding angles that are congruent & corresponding side lengths are proportional. What is a Scale Factor?

  5. Scale Factors Describes if the corresponding polygons length can be reduce or enlarge. A Ratio of the two figures 8 14 40 14:8 13 40:13 25 5 25:5

  6. Indirect Measurement They are two ways to solve problems by doing indirect measurement. Is to use a mirror. You put the mirror on the ground and move away form it but the mirror need to be able to look at the tree. When you finale can see the tip of the tree you need to measure the distance between you and the tree and the mirror to the tree. Later you should know your own height. With that finish you will do a proportion finding the height of the tree. Is to use your own shadow and the tree shadow. You measure your own shadow and the shadow of the tree. With that finish you should know your height and with that you can form a proportion having X as your height of the tree. This is an important skill because if you want to cut tree and you don’t know the height you will need to use the indirect measurement to be sure if it will damage something (house, car, dog, cat ,etc) or if it will have enough space to fall down.

  7. Examples of Indirect measurement As you can see the girl is 1.5meters tall and the tree height is X, if we do the formula we do 1.5/3 = x/7.5 We cross multiply it would 11.25=3x and if we divide it by 3 it would be 3.75 meters.

  8. ScaleFactor.Area.Perimeter To find the Area of a polygon you simplify the fraction by doing small side/big side, and later you square the whole fraction Sides are 14 and 25. 14/25 and we can’t simplify so we just square it. (14/25)^2 196/625 Sides are 8 and 9. it cannot be simplify so we just square it. (8/9)^2 so it will be 64/81 Sides are 14 and 21. This can be simplify (14/21) to 2/3 and we square it (2/3)^2 =4/9 12 To find the Perimeter you add all your sides later with what ever number you / by the whole perimeter and leave it as a fraction. 8 6+6+6+6=24 6/24 10 10+10+8+8=36 10/36 6 12+12+12=36 12/36

  9. Trigonometric Ratios B Sin: Opposite/Hypotenuse Cos: Adjacent/Hypotenuse Tan: Opposite/Adjacent 5 3 Sin A: 3/5 Cos A: 4/5 Tan A: ¾ Sin B:4/5 Cos B: 3/5 Tan B: 4/3 A C 4

  10. B Sin A: 21/25 Cos A: 18/25 Tan A: 21/18 25 21 C A 18 One way to remember this S.inO.pp.H.ypo.C.osA.dj.H.ypoT.asO.pp.A.dj.

  11. Angle of Elevation and Depression What is the Angle of Elevation and Depression? The angle of Elevation is a horizontal line from the point of sight to the point of about the line. The angle of Depression is a horizontal line and a line of sight to the point of the angle of elevation.

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