0.3km=300m
300m:500m
(/100)
3:5
3+5=8
0.3km= 3/8
500m= 5/8
Answer:
4(-6), 6(-4), 12(-2)
Step-by-step explanation:
-4(6) = -4 x 6 = -24
so
4(-6) = 4 x -6 = -24
6(-4) = 6 x -4 = -24
12(-2) = 12 x -2 = -24
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
Answer:
Option C)
Step-by-step explanation:
Here we are given with the expression 
The GCF of 
and 12 is 3
Hence we take 3 as GCF and bring it in front of the bracket.
It can not be factorise furthure as there is no GCF of 25 and also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be
Option C)
First, solve for the volume of each cube through the equation,
V = e³
Substituting the known value,
V = (13 in)³ = 2197 in³
Then, multiply this volume by the number of cubes. Thus, the total volume of the prism,
V = (2197 in³)(3996)
V = 8,779,212 in³
