Step-by-step explanation:
The volume of a cube is
where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is
If we multiply that by the height of the cube, which is a.
That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.
Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
![\sqrt[3]{125} = \sqrt[3]{a {}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7Ba%20%7B%7D%5E%7B3%7D%20%7D%20)
The cube root of 125 is 5 so
5 cm
2.
![\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20)
2 ft
3.
7 yd
4.
10 mm
5.
12 in. or 1 ft
6.
1 m
Answer:
Option 2: 27 is the correct answer.
Step-by-step explanation:
Given functions are:
As we can see that the function g(x) in written in terms of f(x), first of all we have to find g(x) by putting the value of f(x) in g(x)
So putting f(x) = x^2-2 in g(x)
As g(-3) has to be found, putting x=-3 in g(x)
Hence
Option 2: 27 is the correct answer.
Answer:
see below
Step-by-step explanation:
We'll cal the first integer x and then the rest of them will be x + 1, x + 2, x + 3 and x + 4. We can write x + 5(x + 2) = 3(x + 1 + x + 3 + x + 4) - 41.
x + 5x + 10 = 3(3x + 8) - 41
6x + 10 = 9x + 24 - 41
6x + 10 = 9x - 17
3x = 27
x = 9
The numbers are 9, 10, 11, 12, 13.
Answer:
2/9
12.5%, 30% ,45%
Step-by-step explanation:
Possible outcomes
W = wild
S = sandy shores
G = green hills
W6 W7 W10
S6 S7 S10
G6 G7 G10
There are 9 outcomes
2 are over a week without hills (W10 and S10) and
P(10 days not at hills) = # more than 7 days no hills/total
=2/9
We need all the numbers in the same form, I will change to decimal
1/8 = .125
30% = .30
.45
Smallest to largest
.125 <.30 <.45
1/8 < 30% < .45
Changing to percent form
12.5%, 30% ,45%
