course Mth 152 I have been helping someone move all week outside of work so its been difficult for me to take the time to get to the computer (my paper work part of homework I do up at work)... please ignore the dates of these as the time clock on the pc I have been working on to do these is failing. |ÞU ìn—ñ°}|ÐÀßÅÃð㩹¦ñ
......!!!!!!!!...................................
00:10:06 **** query 9.8.9 table of size ratio to scale factor for squares **** What are the size ratios for scale factors 2, 3, 4, 5, 6 and 10, and what is the relationship between size ratio and scale factor?
......!!!!!!!!...................................
RESPONSE --> I had trouble with this problem
.................................................
......!!!!!!!!...................................
00:10:12 17:18:19
......!!!!!!!!...................................
RESPONSE --> Eh?
.................................................
......!!!!!!!!...................................
00:10:24 The size ratios for scale factor 2 is 4, for 3 it is 9, 4 is 16, 5 is 25, 6 is 36, 10 is 100. The size ratio is the square of the scale factor.
......!!!!!!!!...................................
RESPONSE --> Oh, I think I understand now
.................................................
......!!!!!!!!...................................
00:10:29 17:18:19
......!!!!!!!!...................................
RESPONSE --> huh?
.................................................
......!!!!!!!!...................................
00:10:49 **** Explain in your own words why this relationship exists.
......!!!!!!!!...................................
RESPONSE --> Not sure... other than perhaps it is because these numbers multiply by their selves... or square...
.................................................
......!!!!!!!!...................................
00:10:53 17:44:38
......!!!!!!!!...................................
RESPONSE --> ?
.................................................
......!!!!!!!!...................................
00:11:05 In order to form a larger square by adding to the smaller one it must have the same number of edges across the top, bottom, and both sides to stay square. The size or the area of the square is found by multplying the length times the width. A square's length is the same as its width, so all you are doing is squaring one side to get the size.
......!!!!!!!!...................................
RESPONSE --> I think this is what I was trying to say
.................................................
......!!!!!!!!...................................
00:11:08 17:44:39
......!!!!!!!!...................................
RESPONSE --> g
.................................................
......!!!!!!!!...................................
00:11:12 17:44:40
......!!!!!!!!...................................
RESPONSE --> Eh?
.................................................
......!!!!!!!!...................................
00:11:42 **** query 9.8.15 putting unit cubes together to make next larger cube **** What are the scale factor and size ratio for the two cubes?
......!!!!!!!!...................................
RESPONSE --> The size ratio of the cubes is 8 and the factor is 2
.................................................
......!!!!!!!!...................................
00:11:45 17:46:23
......!!!!!!!!...................................
RESPONSE --> eh?
.................................................
......!!!!!!!!...................................
00:11:49 The scale factor is 2 and the size ratio is 8.
......!!!!!!!!...................................
RESPONSE --> Yes
.................................................
......!!!!!!!!...................................
00:11:50 17:46:23
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:11:52 17:46:28
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:13:23 **** query 9.8.18 dimension of cube **** What is the dimension of a cube?
......!!!!!!!!...................................
RESPONSE --> In order to get the dimension of the cube one must multiply length x width x height.... with a scale factor of 2 this is rather easy... 2^3= 8
.................................................
......!!!!!!!!...................................
00:13:26 17:50:02
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:13:29 The dimension of a cube is the length times the width times the height. A cube with a scale factor of 2 would have a size ratio of 2 * 2 * 2 or 2^3.
......!!!!!!!!...................................
RESPONSE --> Yes
.................................................
......!!!!!!!!...................................
00:13:31 17:50:03
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:13:48 **** How does the relationship between size factor and scale factor tell you that the cube is 3-dimensional?
......!!!!!!!!...................................
RESPONSE --> Because of the three dimensions
.................................................
......!!!!!!!!...................................
00:13:50 17:51:16
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:13:54 Because you have to cube the scale factor to get the size ratio.
......!!!!!!!!...................................
RESPONSE --> Yes
.................................................
......!!!!!!!!...................................
00:13:56 17:51:17
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:13:57 17:51:18
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:14:53 **** query 9.8.24 Sierpinski gasket **** What are the length factor and the size factor for this figure, and what two whole numbers therefore must its dimensions therefore lie between?
......!!!!!!!!...................................
RESPONSE --> When the length is doubled you get three times the original figure.... as such the length factor is 2 and the size factor is 3
.................................................
......!!!!!!!!...................................
00:14:55 17:59:10
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:14:58 ** If you double the length you get 3 additional copies of the original figure. So length factor and size factor are 2 and 3. The dimension is the number such that (scale factor) ^ dimension = size factor. For example for the cube a doubling of scale factor increased size factor to 8 times its original value. This gives us the equation 2^d = 8, and as we saw above d = 3 for a cube. Here scale factor is 2 and size factor is 3 so we need to find d such that 2^d = 3. Since 2^1 = 2 and 2^2 = 4, d must be between 1 and 2. **
......!!!!!!!!...................................
RESPONSE --> yes
.................................................
......!!!!!!!!...................................
00:15:09 ** You get 3 copies of the original figure. **
......!!!!!!!!...................................
RESPONSE --> yes
.................................................
......!!!!!!!!...................................
00:15:11 18:02:57
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:15:49 **** Since a doubling of a scale increases size by factor 3, is the dimension greater or less than 1, and is the dimension greater or less than 2?
......!!!!!!!!...................................
RESPONSE --> The dimension is greater than 1 and greater than 2
.................................................
......!!!!!!!!...................................
00:15:50 18:12:47
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:16:02 *&*& If the dimension was 1 then doubling the scale would double the size. If the dimension was 2 then doubling the scale would give you 2^2 = 4 times the size. Since doubling gives you 3 times the size, the dimension must be greater than 1 and less than 2. *&*&
......!!!!!!!!...................................
RESPONSE --> Oh, I goofed on that
.................................................
......!!!!!!!!...................................
00:16:11 18:12:48
......!!!!!!!!...................................
RESPONSE --> This program is doing something strange...
.................................................
......!!!!!!!!...................................
00:16:44 **** What equation would you solve to get the dimension?
......!!!!!!!!...................................
RESPONSE --> I would use 2^d= 3, a doubling factor
.................................................
......!!!!!!!!...................................
00:16:46 18:16:44
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:16:51 ** The equation (see above note) is 2^d = 3. The solution is about d = 1.59, as you say below. **
......!!!!!!!!...................................
RESPONSE --> yes
.................................................
......!!!!!!!!...................................
00:16:53 18:16:45
......!!!!!!!!...................................
RESPONSE -->
.................................................
......!!!!!!!!...................................
00:18:23 **** Note that the equation is 2^d = 3. What approximate value of d makes this equation true?
......!!!!!!!!...................................
RESPONSE --> I'm not sure....
.................................................
......!!!!!!!!...................................
00:18:28 18:18:07
......!!!!!!!!...................................
RESPONSE --> Eh>
.................................................
......!!!!!!!!...................................
00:18:54 18:21:07
......!!!!!!!!...................................
RESPONSE --> This program is acting up on me
.................................................
"