For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5
The list of possible outcomes in the question is totally incomprehensible. But from our vast experience with questions like this and dice in general, we know there are 36 of them.
Now, here are all the ways to roll a total of 9:
3, 6
6, 3
4, 5
5, 4
Four of the 36 possible rolls result in a 9.
So the probability (with honest dice) is 4/36 = 1/9 = 11.1% .
Answer: a. p = c/5 - 43 b. 17 people
Step-by-step explanation:
c= 5p + 215
A) a said solve for p so we will solve for p in the equation.
c= 5p + 215 First Subtract 215 from both sides
-215 -215
c - 215 = 5p Now divide both sides by 5.
p = c/5 - 43
B) If c is the total cost of hosting a birthday party then we will input 300 into the equation for c and solve for p.
300 = 5p + 215 First subtract 215 from both sides
-215 -215
85 = 5p Divide both sides by 5
p = 17
This means 17 people can attend the meeting if Allies parents are willing to spend $300.
Answer: First option.
Step-by-step explanation:
You can idenfity in the figure that 
is formed by two secants that intersect outside of the given circle.
It is important to remember that, by definition:
Knowing this, you can set up the following equation:
Therefore, you must substitute values into the equation and then evaluate, in order to find the measure of the angle .
This is:
Answer:
Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:
expand using distributive property of addition 
:
subtract 3 from both sides:
divide both sides by 3:
<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
