Answer:
The magnitude of the given vector is 40.72 units.
Step-by-step explanation:
The given vector is 
We know that for any vector 'r'
the magnitude is given by

Comparing with the given vector we have
x = -3
y = 40
z = 7
Thus the magnitude equals


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
#SPJ4
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
I think se cuz it still has sunlight but it’s not too close
Answer: Yes, it would be biased. If David asked the question about movies, however, it would not be.
Step-by-step explanation: It would be biased because he is asking listeners to his show who send fan mail. Fan mail is typically only sent by people who enjoy the creator. Therefor, he would be surveying only people who enjoy his podcast so the results would be heavily biased. I am unsure about how the second part of the question relates to the first part. If David were to ask the same 100 individuals about their favorite movies rather than whether or not they liked his podcast, it would not contain biased results because he or his podcast does not have anything to do with movies. :)