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aalyn [17]
3 years ago
12

There are five identical blue books, two identical green books, and three identical black books. How many different patterns can

the books be arranged on a shelf?
Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

2520 patterns

Step-by-step explanation:

In 'n' 10!  ways, books can be arranged. But, there are also 5! permutation of blue books 'n1', 2! permutation of identical green books 'n2', and 3! permutation identical black books 'n3'.

Therefore, for non identical arrangements:

\frac{n!}{n1!n2!n3!}

\frac{10!}{5!2!3!} = 2520

Therefore, the books can be arranged on a shelf in 2520 patterns

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Can someone explain the formula for the area of a pentagon, and the formula for the length of an arc of a portion of a circle? P
RSB [31]
So a pentagon is constructed by five identical triangles, that's why you can find the area of one triangle and multiply it with 5:
A_pentagon=A_triangle*5
To find the area of a triangle you must use tangens.
You can watch this for more on that on youtube. 

For the length of an arc or a portion of a circle you can find it using: 
arc lenght = 2π*r(A/360), where A=angle. 
So if you know radians, then 2π is a whole circle. And to calculate for the specific circle you have to use the radius. That's why you multiply with radius, which is the only difference between any two different circles. you then multiply with the  part of the circle that you want to find the lenght for, which is A/360 (because there are 360° in a circle)

I hope that helped. 


4 0
3 years ago
If x+y= 15, y+z=25, and x+z=20, what is the arithmetic mean of x,y, and z
Mama L [17]
X + y = 15
Rearrange this to isolate for x.
x = 15 - y


x + z = 20
Rearrange this to isolate for x also.
x = 20 - z

Since they are both equal to x, that means they are equal to each other (x = x)

Set them equal to each other. 

15 - y = 20 - z
Now, isolate for y.

y = 15 - 20 + z

Now, use y + z = 25 and isolate for y.
y = 25 - z

Since they are both equal to y, we set them equal to each other.

15 - 20 + z = 25 - z
Solve for z
z + z = 25 - 15 + 20
2z = 30
2z/2 = 30/z
z = 15

Now you can plug the value for z into the other equations to find y and x.

x + z = 20
x +15 = 20
x = 20-15
x = 5

y + z = 25
y + 15 = 25
y = 25 - 15
y = 10

6 0
4 years ago
The primary purpose of the passage is to
Charra [1.4K]

The main purpose of the passage is to describe the purpose, methods, and results of an experiment. The correct option is B.

Given a passage shown in the attached pictures.

Option B is the best answer. The first paragraph of the passage identifies and describes "Texas squash vines" (line 1), but the main focus of the passage is introduced in the first sentence of the second paragraph. The remainder of the passage focuses on describing the purpose, process, and results of recent research conducted on these Texas squash vines.

Option A is incorrect because the passage doesn’t focus on the assumptions behind a theory but rather on the way in which that theory was tested. Option C is incorrect because the passage does not contain a lot of conflicting data; most of them support the idea that there may be too many scents for the Texas squash. Option D is incorrect because the passage explains the procedures used in a study were “’very labor intensive’” (line 58) but does not present them as particularly innovative.

Hence, the primary purpose from the given passage is to describe the aim, method, and results of an experiment.

Learn more about the passage from here brainly.com/question/12555695

#SPJ4

5 0
2 years ago
Hey I'm back anyone remembers me?​
frozen [14]
No I do not remember you but it’s nice to meet you I suppose.
7 0
3 years ago
Read 2 more answers
Express the area of each square as a monomial.<br> 8g^3h
jek_recluse [69]
The area of a square with a side of 8g^3h is:

\bf{Area = 8g^3h \times 8g^3h}\\\\\bf{Area = (8g^3h)^2}\\\\\boxed{\bf{Area = 64g^6h^2}}}
3 0
3 years ago
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