Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is

where the height of the pyramid is 5


On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:




Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
For this case we have by definition that the area of a parallelogram is given by:

Where:
b: It's the base
h: It's the height
According to the data we have:

Substituting in the formula:

The area of the parallelogram is 
Answer:

Answer:
The solution to the inequality is:

The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality

Add 8 to both sides


Divide both sides by 2


Add 3 to both sides


Thus, the solution to the inequality is:

The number line solution graph is also attached below.
Answer:
2
Step-by-step explanation:
First, you do the subtraction 120-21.4 which is 98.7. So since you know its x^7, the number isn't going to be big. By guessing and checking, we start with 2. 2^7 is 128. We know that 1^7 would just be 1, so the closest whole number would be two.
Answer:
-14
Step-by-step explanation:
difference between -20 and -5 = 15
15 x 2/5 = 30/5 = 6
-20 + 6 = -14