The surface area formula for a cube is: 6 * s^2, where s is the side length.
The two surface areas are:
6 * 3^2 = 54
and
6 * 8^2 = 384
The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:
54/384 = 9/64
The answer is 9/64.
Note that another way to to find the ratio of the squares of the side lengths of the cubes.
Answer:
x = -1±sqrt(5/3)
Step-by-step explanation:
3x^2+6x=2
We will use completing the square
Factor out a 3 on the left
3(x^2 +2x) = 2
Divide each side by 3
3/3(x^2 +2x) = 2/3
(x^2 +2x) = 2/3
2/2 = 1 1^2 =1
Add 1 to each side
(x^2 +2x+1) = 2/3+1
(x+1) ^2 = 2/3 +3/3
(x+1)^2 = 5/3
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(5/3)
x+1 = ±sqrt(5/3)
Subtract 1 from each side
x+1-1 = -1±sqrt(5/3)
x = -1±sqrt(5/3)
Answer:
98?
Step-by-step explanation:
that your best shot id.....
Answer:

The graph has a closed circle.
–7 is part of the solution.
Step-by-step explanation:
Given

Required
Select 3 options from the given list of options

Subtract 22 from both sides


Swap positions of the expression; Note that the inequality sign will change

This means <em>x less-than-or-equal-to negative 7</em>
<em></em>
There are two options left to select;
The inequality sign in
implies that the graph has a close circle.
Inequality signs such as
and
signifies a close circle
There is only one option left to select;
Lastly;
Split the expression
into two
We have:
or 
Because
,
Then, -7 is also a part of the solution