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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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In the triangle of ABC, D is a point on AB , AC = 7, AD = 6, and BC = 18. The length of DB could be
Ray Of Light [21]

Answer:

19 > DB > 5

Step-by-step explanation:

In a triangle Δ ABC, AC = 7, and BC = 18.

Therefore, the length of the third side of the triangle Δ ABC i.e. length of AB can have a maximum value of < (7 + 18) i.e. 25 and the minimum value of the length AB will be > (18 - 7) i.e. 11

Hence, the length of AB will be given by 25 > AB > 11.

Now, AB = AD + DB = 6 + DB {Since length of AD is given to be 6}

Therefore, 25 > 6 + DB > 11

⇒ 19 > DB > 5 (Answer)

8 0
3 years ago
Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the
LenaWriter [7]
First calculate the future value of the annuity
The formula to find the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT quarterly payment 1500
R interest rate 0.12
K compounded quarterly 4
N time 4 years
Fv=1,500×(((1+0.12÷4)^(4×4)
−1)÷(0.12÷4))
=30,235.32

Now compare the amount of the annuity with amount of the gift
30,235.32−30,000=235.32
So as you can see the amount of the annuity is better than the amount of the gift by 235.32

Second offer is better

Hope it helps!
5 0
3 years ago
Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot
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Answer:

150√3- 75π) ft². if you see it

Step-by-step explanation:

8 0
1 year ago
Solve the equation √x+9 - 9 = -4 show each step of your solution process
Serjik [45]

Answer:

16

Step-by-step explanation:

Start by adding 9 to both sides, obtaining:  √(x + 9) = 5.

Square both sides, obtaining:   x + 9 = 25.

Subtract 9 from both sides:  x = 16

Note that √(16+9) - 9 = -4, as required.


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3 years ago
Find the missing side.<br> 17 m<br> 15 m
Sonja [21]
Is there a image supposed to be attached?
6 0
3 years ago
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