Answer:
c) square
d) quadrilateral
Step-by-step explanation:
→ It is not a rectangle as in a rectangle, the sides are the not the same
→ It is not a parallelogram because a parallelogram does not have 90° angles
Answer: C. All the points in the preimage are shifted in the same distance.
Translations is one of the rigid transformations known in geometry. It simply refers to the copying of an image possessing the exact qualities on that of the original image. Thus, all the points in the preimage are shifted in the same distance.
The correct statement is the first figure, that is:
To prove this, we need to solve each side of the inequality and see that, in fact, the term on the left side is greater than the term on the right. So:
As you can see 0.0038728 is less than 3343.4728, so this is the only answer that is true. The rest of the choices are false! Recall that Inequality tells us about the relative size of two values. Inequality refers the term greater or less than (this may include or not the equality)
We will first find the volume of the base:
V 1 = 9² · 5 = 81 · 5 = 405 in³
Then the volume of the upper solid - pyramid. We must find the height of the pyramid:
h² = 11² - 4.5² = 121 - 20.25 = 100.75
h = √100.75
h = 10.037429
V 2 = 1/3 · 9² · 10.037429 = 271.01
Finally, the volume of the composite solid:
V = V 1 + V 2 = 405 + 271.01 = 676.01
Answer: C. 676.01 in³