Answer: The answer is (C) 324 cubic cm.
Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.
We are to find the volume of the pyramid.
The formula for finding the volume of a pyramid is given by
where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.
Here, b = 54√3 cm², h = ?
Now, from the right-angled triangle ABC, we have
Therefore, the volume of the pyramid is
Thus, the required volume is 
This makes (C) as the correct option.
Answer:
Neither
Step-by-step explanation:
equation 1 is a negative slope, equation 2 is a positive slope, but with a different slope.
Sure let’s see.... I believe it is D, but I’m not 100%. Don’t give low ratings. I tried.
The correct answer is statement number 3. A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.
There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.
There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
