The dimensions (width and length) of room1 have been read into two variables : width1 and length1 . The dimensions of room2 have been read into two other variables : width2 and length2 . Write a single expression whose value is the total area of the two rooms. (width1length1) (width2length2)

Answer:

12x+y

Step-by-step explanation:

12 times a number x

12x

Plus y

12x+y

Answer:

below

Step-by-step explanation:

(8! - 7!)

= 35280

that is the procedure above

Answer:

-92

Step-by-step explanation:

2x+3-4x-7=180

Answer:

x ≈ 5.7

Step-by-step explanation:

Recall, SOH CAH TOA.

We are given:

Reference angle = 35°

Opposite side length to reference angle = 4

Adjacent side = x

To find x, apply the trigonometric equation, TOA, which is:

Tan 35° = Opp/Adj

Substitute

Tan 35° = 4/x

x*Tan 35° = 4

x = 4/Tan 35°

x ≈ 5.7

Answer:

P = 1 / 40320       or   P  = 2.48*10⁻⁵

Step-by-step explanation:

The total number of outcomes To is:

To  =  8!       To  =  8*7*6*5*4*3*2

To  =  40320

Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:

P = 1 / 40320       or   P  = 2.48*10⁻⁵

Answer:

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]

Required

Integrate

Using partial fraction, we have:

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]

Take LCM

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]

Cancel out the denominators

[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]

Open brackets

[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]

Collect like terms

[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]

Compare like terms on opposite sides

[tex]Ax^3 + Cx^3 = 3x^3[/tex]              [tex]A + C = 3[/tex]

[tex]Bx^2 + Dx^2 = 4x^2[/tex]              [tex]B + D = 4[/tex]

[tex]3Ax + Cx = 9x[/tex]                  [tex]3A + C = 9[/tex]

[tex]3B + D = 4[/tex]

Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]

[tex]3B - B + D - D = 4 - 4[/tex]

[tex]2B + 0 = 0[/tex]

[tex]2B = 0[/tex]

[tex]B = 0[/tex]

[tex]B + D = 4[/tex]

[tex]D =4 - B[/tex]

[tex]D =4 - 0[/tex]

[tex]D =4[/tex]

Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]

[tex]3A - A + C - C = 9 - 3[/tex]

[tex]2A = 6[/tex]

[tex]A = 3[/tex]

[tex]A + C = 3[/tex]

[tex]C = 3 - A[/tex]

[tex]C = 3 - 3[/tex]

[tex]C = 0[/tex]

So, we have:

[tex]A = 3[/tex]        [tex]B = 0[/tex]       [tex]C = 0[/tex]       [tex]D =4[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]

[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]

The integral becomes:

[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]

Split:

[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]

Split

[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]

Integrate

[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]

Hence:

[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]

Answer:

A. x = 2 and y =2

B. x = 3 and y = -1

Step-by-step explanation:

A. { x = 3y − 4

    2x − y = 2

1) Substitute the value of x

2(3y − 4) − y = 2

2) Solve the equation for y

y = 2

3) Substitute the value of y

x= 3(2) -4

4) Solve the equation for x

x = 2

Final Solution: x = 2 and y =2

B. { 3x + 2y = 7

     −x + y = −4

1) Multiply both sides of the equation by 3

-3x + 3y = -12

2) Eliminate one variable by adding the equations

  3x + 2y = 7

+ (−3x + 3y = −12)

   5y = -5

3) Divide both sides of the equation by 5

y = -1

4) Substitute the given value of y into the equation -x + y = -4

-x + (-1) = -4

5) Solve the equation for x

x = 3

Final Solution: x = 3 and y = -1

Step-by-step explanation:

g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55

Answer: A.

The correct answer is actually A.

Step-by-step explanation:

n ^2 - 14n + 43 / 7n - 49

Answer:

-DE+EF

Step-by-step explanation:

this is because DE is a negative vector because we are moving against the direction

Answer:

x>2

Step-by-step explanation:

x+1>3.

Subtract 1 from each side

x+1-1 > 3-1

x>2

There is an open circle at 2 and the lines goes to the right

OPTION C AND D

99.8 AND 458 are the values have 3 significant figures

Answer:

x=KY

as x is directly proportional to y

Answer:

41393415 in kg is 1.8776E+07, or about 18775737.2.

Step-by-step explanation:

For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.

Answer:

16/ 4 (11-7)

Step-by-step explanation:

The phrase "quotient" tells us that there is division involved. The phrase "times" tells us that there is multiplication involved. The phrase "less" tells us that there is subtraction involved. Using these terminologies and clues, you can basically put together the equation 16/ 4 (11-7).

Second choice.

Which is 1591.1 cm^2.

Answer:

5y+16

Step-by-step explanation:

see image below:)

Answer:

5y+16

Step-by-step explanation:

like terms y and y

7y-2y

9+7

5y+16

Answer:

[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]

Answer:

66.32

Step-by-step explanation:

Hello!

[tex]\large\boxed{66.32 m}[/tex]

We are given the area, so we can solve for the width given the length:

A = l × w

Thus:

272.4 = 15 × w

w = 18.16 m

The perimeter of a rectangle can be calculated using this equation:

P = 2l + 2w

Therefore:

P = 2(15) + 2(18.16)

P = 30 + 36.32 = 66.32m

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]

[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]

[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]

[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]

[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]

[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]

[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]

[tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]

۵ Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

-4.3 degrees

Step-by-step explanation:

if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.

11.4 - 15.7 = -4.3 degrees

so, the temperature at midnight was -4.3 degrees

1/6 odds of rolling a 6

1/2 odds of flipping tails

1/6 x 1/2 = 1/12

The probability that she gets a 4 and a tail is 1/12.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Helen rolls a die and flips a coin.

The probability of getting 4 on the die,

= 1/6

The probability of getting tail on the coin,

= 1/2

The probability that she gets a 4 and a tail,

= 1/2 x 1/6

= 1/12

Therefore, the probability is 1/12.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Answer:

c

Step-by-step explanation:

OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

Th correct option is (d).

Step-by-step explanation:

The given expression is :

[tex]16x^2 + nx + 49[/tex] ....(1)

We know that, 16 = 4² and 49 = 7²

Also, (a+b)² = a²+2ab+b²

The given expression becomes,

[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]

Comparing equations (1) and (2),

n = 56

Hence, the value of n is equal to 56.

Answer:

27 cm²

Step-by-step explanation:

Formula of Area Triangle = 1/2(base x height)

Base = 6 cm

Height = 9 cm

1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27

Units = cm * cm = cm²

27 cm²

Why the formula (1/2 ( base x height )) works:

Take a triangle

Duplicate the triangle

And rotate the triangle and put it next to the other one

What shape does it form?

Either a parallelogram or a rectangle

The formula for a parallelogram or rectangle is (base x height)

Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.

So, do base x height

And divide by 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is found at option D

Answer:

Step-by-step explanation:

Using the solution diagram below ;

Let height of monument = h

Using trigonometric relation :

Tan θ = Opposite / Adjacent

Tan 47 = h / 32

h = tan 47 * 32

h = 34.315 feets

h = 34.3 feets

Answer:

50%

Step-by-step explanation:

Let X = Green and red

     Y = Red and blue

     Z = Green and blue

( Buy green or red or blue )

⇒ (x + y) + (y + z) + (z + y)  = 25 + 40 + 25

⇒ 2( x + y + z) = 100

∴ x + y + z = 50

Buy at least one shirt = 50%

So, did not buy any shirt = 100 - 50

                                        = 50%