In how many ways can nine books be arranged on a shelf if the three math books must be placed next to each other?


A) 4,320
B) 30,240
C) 40,320
D) 362,880
E) None of the above​

Answer:

⅔ (option two)

Explanation:

on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.

i hope this helps! :D

Answer:

4

Step-by-step explanation:

2+5+8+0+5=20

20÷5=4

have a good day

Answer:

[tex]Area = 96[/tex]

Step-by-step explanation:

Given

[tex]x = 9[/tex]   [tex]y =3[/tex]    [tex]h = 8[/tex]

See attachment for rhombus

Required

Determine the area

From the attached rhombus:

We have

(1) Triangle

[tex]Base = x;\ \ Height = h[/tex]

The area is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]A_1= 0.5 * x*h[/tex]

[tex]A_1 = 0.5 * 9 *8[/tex]

[tex]A_1 = 36[/tex]

(2) Triangle

[tex]Base = y;\ \ Height = h[/tex]

The area is:

[tex]Area = 0.5 * Base * Height[/tex]

[tex]A_2 =0.5 * y * h[/tex]

[tex]A_2 =0.5 * 3 * 8[/tex]

[tex]A_2 =12[/tex]

(3) Rectangle

[tex]Area = Length * Width[/tex]

[tex]Length =h; Width = x - y[/tex]

because all sides are equal, so the remaining side is x - y

So:

[tex]A_3 = h * (x - y)[/tex]

[tex]A_3 = 8 * (9 - 3)[/tex]

[tex]A_3 = 8 * 6[/tex]

[tex]A_3 = 48[/tex]

So, the area is:

[tex]Area = A_1 + A_2 + A_3[/tex]

[tex]Area = 36 + 12 + 48[/tex]

[tex]Area = 96[/tex]

Answer: area 72

Step-by-step explanation:

The simplification of the expression given us the value of 6.5

A number line is a visual representation of the real numbers, which are used to describe quantities that can be any value, including fractions and decimals. A number line is typically represented as a straight line with numbers increasing from left to right.

We are required to carry out a simplification of -4- 2 1/2

this is given as

-4 - 2.5

= -6.5

We are to find where this point lies in the number line.

This lies between - 6 and - 7 on the number line that we have here

Read more on the number line here:https://brainly.com/question/25230781

#SPJ1

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

Answer:

she can get 11.5 but you have to round down so 11 roses and the vase

Step-by-step explanation:

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

Answer:

AREA = 4π m²÷4 = 12.56 m²

12.56 m² is the circumference

of the circle

9514 1404 393

Answer:

  4π m

Step-by-step explanation:

The area is given by ...

  A = πr²

Then the radius is ...

  r = √(A/π) = √(4π/π) = 2 . . . . meters

The circumference is ...

  C = 2πr

  C = 2π(2 m) = 4π m

The circumference of the circle is 4π meters.

Answer:

C is not true

Step-by-step explanation:

Answer:

189 ft²

Step-by-step explanation:

In the above diagram we are given

Slant height = 6ft

Base = 9 ft

The formula for the surface area of this regular pyramid is given as:

S.A = 2bs + b²

S.A = 2 × 9 × 6 + 9²

S.A = 108 + 81

S.A = 189 square feet(ft²)

Answer:

C and D

Step-by-step explanation:

9% = 9/100 = 0.09 < 0.4

0.125 < 0.4

7.8 * 100 = 780 > 0.4

7/16 = 0.4375 > 0.4

Answer:

1/9

Step-by-step explanation:

so you do 1/3 x 1/3 because you need to flip the 2nd number, then you multiply and you get 1/9! Hope this helps

Answer:

2 1/4

Step-by-step explanation:

How many time can 4 go into 9, 2

So that is your whole number, and 2 is 8/4

the you can do 9/4 - 8/4 and you get a remainder of 1/4

so you get 2 1/4

Answer:

2 1/4

Step-by-step explanation:

if you do 9÷4 you get 2. What is left over is 1 so it would be 2 1/2 at its simplest form.

Answer:

1498.78125 i used calculator

Step-by-step explanation:

The length of each side of the square base is 7 inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a square prism of height 11 inches has a volume of 539 cubic inches.

Here, volume =Area of a base × Height

539=Area of a base×11

Area of a base=539/11

Area of a base=49

Here, base of prism is square

We know that, area of a square is a², where a is side

a²=49

a=±√49

a=7 inches

Therefore, the length of each side of the square base is 7 inches.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

Answer:

1) sin ( 38 )

Decimal form:

0.61566147

2) cos (51 )

Decimal form:

0.62932039

3)tan ( 24 )

Decimal form:

0.44522868

…

Answer: 7k^2+2k+10

Step-by-step explanation: To simplify this, you need to combine like terms, which are just the numbers that have the same variables and exponents. Combine 2k^2 and 5k^5 and it is 7k^2 (Just add the coefficient). Then do 3k -k, which is 2k. k just represents 1, so basically, 3-1. Finally, 7 + 3, which is 10. Then, combine the results to form an expression, which is 7k^2+2k+10.

Answer:

The lines are parallel, and their slope is 1/3.

Step-by-step explanation:

Slope = Rise/Run

Rise tells us the distance between the two points on the y-axis and the run tells us the distance between the two points on the x-axis.

For Line 1, the rise is one unit and the run is three units. Therefore, the slope is 1/3.

For Line 2, the rise is one unit and the run is three units. Therefore, the slope is also 1/3.

Hope this helps!

Answer:

C: (12,4)

Step-by-step explanation:

We can find the slope of the line with "rise over run"

The pattern is 1 unit up, 3 units to the right

By following this pattern from point (9,3),

we go 1 unit up on the y axis, moving (9,3) to (9,4)

Next we move 3 units right on the x-axis,

moving (9,4) to (12,4)

Answer is (12,4)

Answer:

9

Step-by-step explanation:

Answer:

I think D would be the answer sorry if i'm wrong ฅ^•ﻌ•^ฅ

Answer:

3 boxes

Step-by-step explanation:

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

Answer:

32

Step-by-step explanation:

Did it!!

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

brainly.com/question/29162579

#SPJ7

Answer:

d

Step-by-step explanation:

Answer:

1/3 of a cup

Step-by-step explanation:

Just do (2 2/3)/8