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Vlad1618 [11]
2 years ago
13

Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?

Mathematics
1 answer:
mash [69]2 years ago
7 0

Answer:

27132

Step-by-step explanation:

Assuming the order does not matter, since it will always be a mixture of the same 6 books, we can calculate a combination for these outcomes.

The combination formula is:

nCr = n! ÷ (n-r)!r!

, where ! represents factorials, n represents the total number of items, and r represents the number of items being chosen.

So 19! ÷ (19-6)!6! = 19! ÷ 13! • 6!

19 • 18 • 17 • 16 • 15 • 14 ÷ 6 • 5 • 4 • 3 • 2

= 27132 different combinations of the 6 books.

If you use a calculator, find nCr, plug in 19 for n, and 6 for r.

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PLEASE HELP !!!!
prohojiy [21]

Answer:

{(-2, 5), (1, -1), (2, -2), (5, 2)}

4 0
2 years ago
HELP PLEASE IM STUCK
Anarel [89]

Answer:

y°= 51.30°

Step-by-step explanation:

Apply the formula for tangent of an angle

Tan Ф = opposite side length/adjacent side length

Tan y= 10/8

Tan y= 1.25

y° = tan⁻(1.25) = 51.34°

To the nearest tenth y°= 51.30°

8 0
3 years ago
PLEASE HELP FAST!!!
scoray [572]

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

<h3>Angle of elevation and depression</h3>

From the question given, we have the following parameters

Base of the building = 7feet

Height of the building = 18 feet

Required

angle of elevation

Using the SOH CAH TOA identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

Learn more on angle of elevation here: brainly.com/question/88158

#SPJ1

Question:

<em>A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.</em>

4 0
2 years ago
12 out of 30 people chose their favourite colour as blue caculate the angle you would use for blue on a pie chart
GrogVix [38]

Answer:

The angle = 144 degrees.

Step-by-step explanation:

Look at it this way (it is a proportion question)

30 people would require a pie chart made of a full circle (360 degrees)

12 people would require x part of the pie chart.


30/360 = 12 / x            Cross multiply

30x = 360 * 12             Simplify the right

30x = 4320                  Divide by 30

30x/30 = 4320/20      

x = 144                           Answer

6 0
3 years ago
Which equation has the solutions x= 5 ± 2 square root 7 all over 3
Verdich [7]
Let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

Then the equation is (x-x₁)(x-x₂) = 0

If you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

You can see that a=1 (there is just an x²)
b = (-5 -2√7 + 2√7 - 5)/3 = -10/3
c = ((-5-2√7)/3 ) * (-5+2√7)/3) = -1/3

So the equation you're looking for is:

\frac{3 x^{2} -10x - 1}3 = 0
7 0
3 years ago
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