There are twelve empty rooms in the office of Acme Softwares, inc. Alif and Laila joins the company. How many ways can they be assigned a room each from these twelve

Answers

Answer 1

Answer:

132.

Step-by-step explanation:

That would be the number of permutations of 2 from 12.

12P2 = 12! / (12-2)!

= 132.


Related Questions

the cost price of an articles was 4000 find the marked price of the article so that there will be profit of 20%after allowing a discount of 20%​

Answers

Answer:

The marked price of the article was $ 6000.

Step-by-step explanation:

Since the cost price of an article was $ 4000, to find the marked price of the article so that there will be profit of 20% after allowing a discount of 20%, the following calculation must be performed:

4000 x X x 0.8 = 4000 x 1.2

4000 x X x 0.8 = 4800

4000 x X = 4800 / 0.8

4000 x X = 6000

X = 6000/4000

X = 1.5

4000 x 1.5 = 6000

Therefore, the marked price of the article was $ 6000.

29. In the 2010-2011 NBA regular season, the Los Angeles Lakers won 7 more than twice as many games as they lost. The Lakers played 82 games. How many wins and losses did the team have? ​

Answers

Answer:

Loss 25 Games & Win 57 Games

Step-by-step explanation:

According to question,we have

The Los Angeles Lakers won 7 more than twice as many games as they lost.

Assume Total Loss=L & Thus Total Win = 2L + 7

Total Win + Total Loss = Total Games Played

2L + 7 + L = 82

3L = 82-7

3L = 75 ⇔ L = 25

Thus, Total Loss=25 Games & Thus Total Win = 57 Games

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a 4.

Answers

Answer:

1 : 12

Step-by-step explanation:

P(4) = 4 cards out of 52 = 1/13

P(4') = 48 cards out of 52 = 12/13

Odds in favour of selecting a four

Probability "for" : Probability "against" = P(4) : P(4') = 1/13 : 12/13 = 1 : 12

Simplify ratio to the simplest integers.

A person walks 1/6 mile in 1/18 hour.

The person's speed is _ miles per hour.

Answers

This Is What I Got!

Hope This Helps! :)

Have A Good Day!!

And If You Can I Wouldn't Mind A Brainliest! :))

Answer:

Divide 1/6 miles to 1/12hour since u wanna find our miles per hour

So it’ll be : 1/6 / 1/12

= 1/6 x 12/1

= 2 miles

The height of a square pyramid with a that has 12 cm edges and a lateral area of 240cm sq.

Answers

Answer:

The height of the pyramid = 8 cm

Step-by-step explanation:

Given that,

The edges of a pyramid, a = 12 cm

The lateral area of a pyramid, A = 240 cm²

The formula for the lateral area of a square pyramid is given by :

[tex]A=a\sqrt{a^2+4h^2}[/tex]

Where

h is the height

Squaring both sides,

[tex]A^2=a^2\times (a^2+4h^2)\\\\\dfrac{A^2}{a^2}=a^2+4h^2\\\\\dfrac{A^2}{a^2}-a^2=4h^2\\\\4h^2=\dfrac{(240)^2}{12^2}-12^2\\\\4h^2=256\\\\h^2=64\\\\h = 8\ cm[/tex]

So, the height of the pyramid is equal to 8 cm.

How many dimensions does a plane have?
O
A. Three
о
B. Zero
O C. Two
D. One

Answers

I think it is b or d

A Plane does not have one dimensions.

What is Plane?

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.

A plane doesn't only have one dimension, though. The two dimensions of a plane.

A plane is a flat, infinitesimally long two-dimensional surface.

The plane can occasionally be extended into three dimensions.

Consequently, a plane has more than one dimension.

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Find the zero of the polynomial 2y – 3​

Answers

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

[tex]y = \frac{3}{2}[/tex]

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

calculate the volume of each cone. Use 3.14 for π. Round answers to the nearest hundredth if necessary.​

Answers

Answer:

πr of length

»» 3.14 x (5)²

»» 3.14 x 30 = 94.2cm²

πr of base

»» 3.14 x (4)²

»» 3.14 x 16 = 50.24cm²

Length x base

»» 94.2cm² x 50.25cm²

A= 4733.55cm²

[tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex][tex]\color{yellow}{}[/tex]

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still water and the rate of the current.

Answers

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream[tex]=\dfrac{60}{3}=20\ mph[/tex]

The rate while moving upstream [tex]=\dfrac{60}{5}=12\ mph[/tex]

The rate of the boat in still water is the average of these:

[tex]v_s=\dfrac{20+12}{2}=16\ mph[/tex]

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.


The cost of 8 chalk markers in a store is $12.20. Ava buys 20 chalk markers from the store. How much will Ava pay at the store?

Answers

Answer: 0.61

Step-by-step explanation:

Divide 12.2 by 20

I am not sure if this is the answer you can try it

Answer:

$30.50

Step-by-step explanation:

20 x 12.20 = 244

244 divided by 8 = $30.50

A. 11.1
B. 6.7
C. 13
D. 4.1

Answers

Answer:

C. 13

Line AE & Line AD have the same in measurement.

Which expression are greater than 1/2? Choose all the apply

Answers

Answer:

25/30

5/8

Step-by-step explanation:

Which fraction is it out of all of these 6/14,5/8,25/30,or 3/6?

to determine which fractions are greater than 1/2, convert the fractions to decimals

to convert to decimals, divide the numerator by the denominator

1/2 = 0.5  less than half

6/14 = 0.43 less than half

5/8 = 0.625 greater than half

25 / 30 = 0.83 greater than half

3 / 6 = 0.5 equal to half

whats the area of a rectangle

:)

Answers

Answer:

Baguette. :)

Step-by-step explanation:

Answer:

I don't know you lollollollll

What is the slope of the line?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m = (7/4)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{The slope formula is rise over run.}}\\\\m=\frac{\text{Rise}}{\text{Run}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\-------------\\(x_1,y_1) \text{ and } (x_2,y_2) \text{ are two points that are on the line.}[/tex]

⸻⸻⸻⸻

The line passes through the points (3,4) and (-1, -3).

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Slope:}}\\\\\rightarrow m = \frac{-3-4}{-1-3}\\\\\rightarrow m=\frac{-7}{-4}\\\\\rightarrow m=\boxed{\frac{7}{4}}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I’m suppose to find the measure of each angle. Thank you

Answers

Answer:

E) π/9

Step-by-step explanation:

The angles are complementary meaning they add up to 90°.

Convert radians to degrees:

7π/18 · 180/π = 70°

Now we know that we need the radian equivalent of 20°.

Convert degrees to radians:

70 · π/180 = π/9

Therefore, the measure of the missing degree is π/9.

I need help please, i dont understand

Answers

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

Additional comment

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

Create a tree diagram that shows all the possible outcomes for tossing a coin and spinning a spinner with six equal sections numbered 1 through 6.

Answers

Step-by-step explanation:

We can use a tree diagram to help list all the possible outcomes.

probability tree coin dice

From the diagram, n(S) = 12

This may help you....

plzzz mark me as brainlist....

the area of a tennis court is 2000m2 . a rugby pitch has a legnth of 45m and width of 45m . which has the biggest area?

Answers

Answer:

The area of a rugby pitch is more as compared to the area of the tennis court.

Step-by-step explanation:

Given that,

The area of a tennis court is 2000 m².

The length and width of a rugby pitch are 45 m and 45 m.

The area of a rugby pitch is given by :

A = lb

So,

A = 45×45

A = 2025 m²

So, it is clear that the area of a rugby pitch is more as compared to the area of the tennis court.

the lengths of two sides of a right triangle are 12 inches and 15 inches.What is the difference between the two possible lengths of the third side of the triangle

Answers

Answer:10.2 inches

Step-by-step explanation:

we know that

In this problem we have two cases

First case

The given lengths are two legs of the right triangle

so

Applying the Pythagoras Theorem

Find the length of the hypotenuse

substitute

Second case

The given lengths are one leg and the hypotenuse

so

Applying the Pythagoras Theorem

Find the length of the other leg

substitute

Find the difference between the two possible lengths of the third side of the triangle

so

Answer:

The difference between the two possible lengths for the third side of the triangle is about 10.21 inches.

Step-by-step explanation:

We are given that the lengths of two sides of a right triangle is 12 inches and 15 inches.

And we want to find the difference between the two possible lengths of the third side.

In the first case, assume that neither 12 nor 15 is the hypotenuse of the triangle. Then our third side c must follow the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute in known values:

[tex](12)^2+(15)^2=c^2[/tex]

Solve for c:

[tex]c=\sqrt{12^2+15^2}=\sqrt{369}=\sqrt{9\cdot 41}=3\sqrt{41}[/tex]

In the second case, we will assume that one of the given lengths is the hypotenuse. Since the hypotenuse is always the longest side, the hypotenuse will be 15. Again, by the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute in known values:

[tex](12)^2+b^2=(15)^2[/tex]

Solve for b:

[tex]b=\sqrt{15^2-12^2}=\sqrt{81}=9[/tex]

Therefore, the difference between the two possible lengths for the third side is:

[tex]\displaystyle \text{Difference}=(3\sqrt{41})-(9)\approx 10.21\text{ inches}[/tex]

point o is the center of this circle what is m angle CAB
a 55
b 48
c 45
d 35​

Answers

Answer:

m< CAB = ½× 96° = 48° (option b)

If a regular polygon has exterior angles that measure 36° each, how many sides does the polygon have? O A. 12 O B. 6 O c. 10 O D.8​

Answers

Answer:

A decagon with has 10 sides.

The polygon has 10 sides.

What are Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

Regular polygons are polygons which are having all the sides and interior angles equal to each other.

Given that,

Each exterior angle of the polygon = 36°

Sum of the exterior angles of a polygon is always 360°.

So,

Each exterior angle of a regular polygon = 360° / Number of sides

Number of sides of the polygon = 360° / measure of each exterior angle

Substituting,

Number of sides = 360° / 36°

                            = 10

Hence there are 10 sides for the polygon.

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HELP HELP HELP
Solve this

Answers

Answer:

What is the cos theta for, i would use sin to solve for theta and then we would get 41.25 degrees.

Step-by-step explanation:

Calculate the total population increase of South Africa from 2001 Difference You may use the following formula: Increase = 2001 Population Calculate the total population of KZN in 2021. Identify the province with the lowest population in 2011. Write down the 2011 total population of South Africa in words.​

Answers

ccd is good to see ur message and he is so fine lol i just got home lol he is fine with it too but i is good too but he is

A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?

Give your answer as a whole number.
They will need to purchase

Answers

Answer:

15 gallons of milk at 3 week

15/3= 5

for a month 5 * 4 =20

in a year 12 * 20 = 240

Step-by-step explanation:

Please help will mark BRAINLIEST! This is pt.1

Answers

Answer:

See below.

Step-by-step explanation:

Problem 1.

1. QU

2. QW

3. UW

Given

4. QUW

Problem 2.

1. CB

2. <1, <2

Given

3. BD, BE

Given

4. ABD, CBE

SAS

How much is six dimes, 8 nickels, and three one-dollar bills? *

Answers

Answer:

.60 + .40 + 3.00 = 4.00

Step-by-step explanation:

Answer:

$ 4

Step-by-step explanation:

six dimes (.10 each) = .60

8 nickels (.05 each)= .40

3 dollars (1.00 each) = 3.

Add together

in the diagram, the measure of angle 3 is 105°

which angle must also measure 105°?

A.1

B.4

C.6

D.8​

Answers

Answer:

it's angle 1.

Reason:

vertically opposite angles are equal

When an airplane is 35,000 feet from an air traffic control tower, the angle of elevation between the tower and the airplane is.



What is the approximate altitude, a, of the plane at this point?
A. 45,689 feet
B. 26,812 feet
C. 29,369 feet
D. 41,711 feet

Answers

Answer:

26,812 ft

Step-by-step explanation:

The drawing given is very helpful in this case.  When solving problems like this, it's important to realize what trigonometric ratio we're going to use.  From the given angle (50°), we are given the hypotenuse (35,000 ft) and we're trying to solve for the opposite side ([tex]a[/tex]).  

So since we're trying to find the opposite side side and we have the hypotenuse, we should try to find a trigonmetric ratio between the opposite side and the hypotenuse.  Using SOH-CAH-TOA, hopefully you can see that we should pick SOH (i.e. [tex]\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]).  Therefore, we can set up our equation given the angle [tex]\theta=50^\circ[/tex].  

[tex]\sin(50^\circ)=\frac{a}{35000}[/tex]

Since we're solving for [tex]a[/tex], we can just rearrange to get [tex]a=35000\sin(50^\circ)=26812[/tex]

Therefore, the plane's altitude [tex]a[/tex] is 26,812 ft.

The approximation altitude of the plane at 35,000 feet from an air traffic control tower will be 26812 feet hence option (B) will be correct.

What is a trigonometric function?

the trigonometric functions are real functions for only an angle of a right-angled triangle to ratios of two side lengths.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

Given that 35000 feet are the distance between a plane and the air traffic control tower.

Hypotaneous =  35000 feet

The angle of elevation is 50°

By trigonometric function sin

Sinx = perpendicular/hypotaneous

Sin50° = Altitude/35000

Altitute = 35000 × sin50°

Altitude = 26811.55 ≈ 26812 feet will be the correct answer.

For more information about the trigonometric function

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Researchers examine the impact of Omega-3 fatty acids on vasomotor symptoms in menopausal women. Subjects in the study are given either a placebo (0g daily), 1g daily or 1.8g daily and asked to record any vasomotor symptoms they experience. The Omega-3 fatty acid variable is an example of what type of data?

a. interval level
b. nominal
c. ordinal
d. ratio

Answers

Answer:

c. ordinal

Step-by-step explanation:

Possible values of Omega-3 fatty acids:

Placebo(0g daily).

1g daily

1.8g daily

Ordered numbers, each number representing a category, and thus, it is an ordinal variable and the correct answer is given by option c.

The Omega-3 fatty acid variable is an example of Ordinal type of data.

What is an Ordinal data type?

An ordinal data type is one that shows order and description. The "Omega-3 fatty acids" term is descriptive in nature. However, its order is also indicated in the rating of the placebo effect as 0, 1, and 1.8 grams.

Thus, the descriptive and order nature of ordinal data is shown.

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Find the value of x° in rhombus ABCD.

Answers

sorry but we need to see the actual picture
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