Answer:
23.04 m^2
Step-by-step explanation:
The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).
The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.
2.4 * 3.6 / 2 = 3.84.
Now multiply that by height of the prism, which is 6, and we get 23.04 m^2.
Hope this helps!
We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.
We can make two equations from the given:
x = 18 + y
("One number is 18 more than another number")
x + y = 36
("The sum of the numbers is 36")
If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:
x + y = 36
(18 + y) + y = 36
18 + 2y = 36
2y = 18
y = 9
Input the value of 'y' into the first equation:
x = 18 + y
x = 18 + 9
x = 27
<u>One number is 27 and the other number number is 9.</u>
<u></u>
Let me know if you'd like me to explain anything I did here.
- breezyツ
Answer:
So the greatest common factor 18 and 24 is 6
Step-by-step explanation:
Given:
Cost of 1 digital song = $1.05
Cost of 2 digital song = $2.10
Cost of 5 digital song = $5.25
To find:
The equation and the cost of 25 downloaded digital songs.
Solution:
Let us take two points (1, 1.05) and (2, 2.10).
Here 
Slope:
m = 1.05
Using point-slope formula:
Add 1.05 on both sides, we get
Here x is the independent variable and c is the dependent variable.
So that substitute x = n and y = c.
The equation is c = 1.05 n.
Substitute n = 25 in the equation.
The cost of 25 songs is $26.25.
Answer: 
or ![y=\sqrt[3]{8x} -1](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B8x%7D%20-1)
Step-by-step explanation:
To find the inverse, you switch y with x and x with y. Then, you solve for y.
[switch y with x and x with y]
[multiply both sides by 8]
[cube both sides]
![\sqrt[3]{8x} =y+1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8x%7D%20%3Dy%2B1)
[subtract both sides by 1]
or
