Please Help, this is due by 4

Mathematics

1 answer:

lys-0071 [83]3 years ago

4 0

B. (4, 4) is a solution to the equation.

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A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop

lesantik [10]

Answer:

The number of distinct arrangements is 12600.

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,

Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)

= 12600 ways

Thus, the number of distinct arrangements is 12600.

4 0

3 years ago

Please help with this

tatuchka [14]

Step-by-step explanation:

what that no exsample

sorry bro

you have no exsample im so sorry

5 0

3 years ago

Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver

Artemon [7]

Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

$a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3}$ units

Answer: $5 \sqrt{3}$