Answer:
Faces = 6
Vertices = 8
Edges = 12
Step-by-step explanation:
In a solid geometric shape :
A face is a flat surface : faces = 6
A vertex (plural: vertices) is a Corner : vertices = 8
An edge is a particular type of line segment joining
two vertices : Edges = 12
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Answer:
25%
Step-by-step explanation:
Since there are 24 apples, and 6 are bad, to find the percentage of the bad apples, you do bad apples/total apples
6/24=.25
0.25 is 25%
Answer:
A
Step-by-step explanation:
if these are fractions than its A.
2x-4=2
4x-5=5/4
Answer:
Step-by-step explanation:
We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:
We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.
The radius is half the diameter.
- r = d/2
- r= 10 ft/2
- r=5 ft
We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.
Solve the exponent.
Multiply the numbers in parentheses.
The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>
