Answer:
3.3 is 3.29 rounded to the nearest 10th because nine is greater than 5 so it increases.
Answer:
32%
Step-by-step explanation:
4400 - 2992 = 1408
1408 seats filled
1408/4400 = 0.32
0.32 x 100 = 32% of the seats were filled
What is the number n ^???
Answer:
The scale factor is 1/4
Step-by-step explanation:
There are two ways to get this answer:
1. Graphically: After representing the point in the graph, you can count the distance between each point on the x and y axis, and the dilation point D).
The distance in the y-axis between A'B' and D is 1, while AB and D is 4.
The distance in the x-axis between A and D is 12, while A' and D is 3.
We can see that in both axis the distance is reduced by 1/4.![(y_{axis} =\frac{1}{4}); (x_{axis} =\frac{3}{12}=\frac{1}{4})](https://tex.z-dn.net/?f=%28y_%7Baxis%7D%20%3D%5Cfrac%7B1%7D%7B4%7D%29%3B%20%28x_%7Baxis%7D%20%3D%5Cfrac%7B3%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B4%7D%29)
2. Mathematically: To do this is necessary to find the distance between for example point A and A' with D, and then find the proportion ![\frac{A'}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BA%27%7D%7BA%7D)
![d_{AD}=\sqrt{(X_{D}-X_{A})^{2} +(Y_{D}-Y_{A})^{2} }](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt%7B%28X_%7BD%7D-X_%7BA%7D%29%5E%7B2%7D%20%2B%28Y_%7BD%7D-Y_%7BA%7D%29%5E%7B2%7D%20%7D)
![d_{AD}=\sqrt{(9-(-3))^{2} +(0-(-4))^{2} } =\sqrt{(12)^{2} +(4)^{2} }](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt%7B%289-%28-3%29%29%5E%7B2%7D%20%2B%280-%28-4%29%29%5E%7B2%7D%20%7D%20%3D%5Csqrt%7B%2812%29%5E%7B2%7D%20%2B%284%29%5E%7B2%7D%20%7D)
![d_{AD}=\sqrt160} =4\sqrt{10}](https://tex.z-dn.net/?f=d_%7BAD%7D%3D%5Csqrt160%7D%20%3D4%5Csqrt%7B10%7D)
Following the same procedure:
![d_{A'D}=\sqrt{(9-6)^{2} +(0-(-1))^{2} }=\sqrt{(3)^{2} +(1)^{2} }=\sqrt{10}](https://tex.z-dn.net/?f=d_%7BA%27D%7D%3D%5Csqrt%7B%289-6%29%5E%7B2%7D%20%2B%280-%28-1%29%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B%283%29%5E%7B2%7D%20%2B%281%29%5E%7B2%7D%20%7D%3D%5Csqrt%7B10%7D)
Therefore, the proportion is ![\frac{d_{A'D}}{d_{AD}}=\frac{\sqrt{10}}{4\sqrt{10}} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_%7BA%27D%7D%7D%7Bd_%7BAD%7D%7D%3D%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B4%5Csqrt%7B10%7D%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
Answer:
It comes down to what the equals sign means. It means, that the two things mentioned on either side of the equation are the same thing. If you do something to the left side, you have presumably changed it.
Step-by-step explanation:
Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.