Which solid has the top, the side, the front views given?
2 answers:
You might be interested in
Answer:
see attached
Step-by-step explanation:
Dilation is the transformation that changes the size of something. When you choose ×110% on a copy machine, you are making all the dimensions in the copy equal to 1.1 times the dimensions of the original, for example. That is dilation by a factor of 1.1, or 110%.
Here, you're asked to dilate triangle ABC by a factor of 3. That means all of the dimensions on the dilated figure will be 3 times their length on the original.
The center of dilation is point P. That means all the distances from point P are multiplied by 3.
In the attached figure, a gray arrow has been drawn from point P to each of the points A, B, and C. Then two more arrows of the same length are drawn in the same direction. The total distance at the end of the 3 arrows is 3 times the original distance from point P. These are the points A', B', and C' you are asked to draw. Connecting these points gives the dilated triangle A'B'C'.
___
You could think of point P (the center of dilation) as having coordinates (0, 0). Then points A, B, and C would have coordinates A(-4, 0), B(0, -3), and C(-4, -3). To dilate these points by a factor of 3, multiply each coordinate value by 3: A'(-12, 0), B'(0, -9), C'(-12, -9). You will see that these are the coordinates of the vertices of the dilated triangle.
<u>Answer: </u>
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
<u> Solution: </u>
Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,
So current population is
Equating above expression to the given value of current population, we get
x=45000
Hence previous population of city was 45000.