Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
Answer: 91,445,760 ft³
Step-by-step explanation:
You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:
Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.
You know that:
Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:
Answer:
C.y = 3x + 4
Step-by-step explanation:
We have two points, so we can find the slope
m = (y2-y1)/ (x2-x1)
= (7--2)/ (1--2)
= (7+2)/(1+2)
= 9/3
=3
The slope is 3
We can find the point slope form of the line
y-y1 = m(x-x1)
y-7 = 3(x-1)
Distribute
y-7 =3x-3
Add 7 to each side
y-7+7 = 3x-3+7
y = 3x+4
This is in slope intercept form (y=mx+b)
Answer:
14 square units
Step-by-step explanation:
If you graph the points your triangle's height will be 4, and base would be 7.
<em>A = 1/2bh 4</em> x 7 = 28, 28 x 1/2 = 14.
Hope this helps :D
Answer:
A. 8n-10
Step-by-step explanation:
8n2−26n+20/n−2
=2(4n−5)(n−2)/n−2
=8n−10
