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Aloiza [94]
2 years ago
5

Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be

Mathematics
1 answer:
aliina [53]2 years ago
8 0

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total books, n = 10
  • Books to arrange, r = 4

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

brainly.com/question/12468032

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Solve *please show work* :)
Mashcka [7]

Answer:

E.200.5ft²

Step-by-step explanation:

To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.

Area of square = s² where s = side length

It appears the given side length is 12 so s = 12

Which means area = 12² = 144ft²

For semi circle

Area = 1/2(πr² ), where r is the radius

The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12

To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6

We have area = 1/2(πr² ) and r = 6

So area = 1/2(π6²)

==> evaluate exponent

Area = 1/2(36π)

==> take one half of 36

Area = 18π

==> multiply 18 and π

Area = about 56.5

Finally we add the two areas together

Total area = 56.5 + 144 = 200.5ft²

4 0
2 years ago
I need help with this<br>​
Mashutka [201]

Answer: D

Step-by-step explanation:

<u><em>When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)</em></u>

<em>The three coordinates of ΔCDE are</em>

  • C = (-8, -1)
  • D = (-6, -5)
  • E = (-2, -4)

<em>After the y-axis reflection, they'll become:</em>

  • C' = (-(-8), -1) = (8, -1)
  • D' = (-(-6), -5) = (6, -5)
  • E' = (-(-2), -4) = (2, -4)

<em>I hope this is correct :\</em>

3 0
3 years ago
****SOMEONE ANSWER PLEASE*****
Gwar [14]
B = tp - (s + 2000) / 3

b=(8000)(12) - (4000 + 2000) / 3
b=(96000) - (6000) / 3
b=96000 - 6000 / 3

Answer
b=£30000
b=£94000
6 0
3 years ago
Read 2 more answers
If twelve pounds of nails cost $3.84,what is the unit cost
Murljashka [212]

Hey!

---------------------------------------------

Solution:

12 pounds = $3.84

3.84 / 12 = $0.32 per pound

---------------------------------------------

Answer:

$0.32 per pound (unit)

---------------------------------------------

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
Which of the following is equal to the rational expression when x does not equal 3 or 1 x^2-9/(x-1)(x-3)
yuradex [85]

Answer:

b.  \frac{x+3}{x-1}

Step-by-step explanation:

Given expression is:

\frac{x^{2}-9 }{(x-1)(x-3)}

Let us factorize the numerator using the formula:

a^{2} -b^{2} =(a+b)(a-b)

\frac{(x+3)(x-3)}{(x-1)(x-3)}

Since x ≠ 3, let us cancel the common factor x - 3 in the numerator and in the denominator.

So, \frac{x^{2}-9 }{(x-1)(x-3)} =\frac{x+3}{x-1}

7 0
3 years ago
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