Answer:
REFLECTION
Step-by-step explanation:
The triangle ABC was reflected over the x-axis to get triangle A'B'C'.
The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
<h3>
What is a cube?</h3>
- A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
- The cube is one of the five Platonic solids and the only regular hexahedron.
- It has six faces, twelve edges, and eight vertices.
To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
- 18 cubic feet is the volume of the pyramid.
- Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
- We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
- So, the volume of the cube = 3 × 18
- The volume of Cube = 54 ft³
Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
Know more about a cube here:
brainly.com/question/1972490
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The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:
Where the polynomial is in the form:
In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:
Thus, the discriminant of x² – 49 = 0 is 196.
Answer:
B) - The Viceroy population remained fairly steady over the three years recorded.
C) - The average number of Zebra Swallowtails over all three samples will be less than the number recorded in year 1.
D) - If a population is increasing over time, the average will be less than the most recent count.
Step-by-step explanation:
just got it right on the test
Let's simplify step-by-step.
2/5(d−10)−2/3(d+6)
Distribute:
= (2/5)(d)+(2/5)(−10)+ −2/3d+ −4
= 2/5d+−4+ −2/3d+ −4
Combine Like Terms:
= 2/5d+−4+ −2/3d+ −4
= −4/15d+−8
And your answer is...
= −4/15d+−8
plz mark me as brainliest if this helped :)
