area of a rectangle whose length is 4 cm is greater than the width is 96cm².find the length and the width?​

Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

Expression for the nth term of the sequence: (n + 1) / (n + 3).The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

To find the expression for the nth term of the sequence, we observe that each term can be expressed as (n + 1) divided by (n + 3), where n represents the position of the term in the sequence.

Let's verify this formula with the given terms:

For n = 1: (1 + 1) / (1 + 3) = 2 / 4 = 1/2 (first term of the sequence)

For n = 2: (2 + 1) / (2 + 3) = 3 / 5 (second term of the sequence)

For n = 3: (3 + 1) / (3 + 3) = 4 / 6 (third term of the sequence)

For n = 4: (4 + 1) / (4 + 3) = 5 / 7 (fourth term of the sequence)

For n = 5: (5 + 1) / (5 + 3) = 6 / 8 = 3 / 4 (fifth term of the sequence)

Therefore, the first five terms of the given sequence are: 1/2, 3/5, 4/6, 5/7, 3/4.

The expression for the nth term of the sequence is (n + 1) / (n + 3). Using this formula, we found the first five terms of the sequence, which are 1/2, 3/5, 4/6, 5/7, and 3/4.

To know more about Expression follow the link:

https://brainly.com/question/1859113

#SPJ11

Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.

Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75

He would have paid (let us say amount A)= $280

After filing for bankruptcy he has to pay = 205+75+150+110

He has to pay (let us say amount B)= $540

Difference between amount A and amount B = $540-$280

Difference between amount A and amount B = $260

Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

To get more about bankruptcy visit:

https://brainly.com/question/26392690

3 rational numbers between -2 and 0 are -1.5, -1, and -0.5.

Rational numbers can be either positive or negative, and can even be decimals. Therefore, -1.5, -1 and -0.5 are all rational numbers.

(make sure you change up my words a bit if you're submitting this online, there are bots that scan your words to see if you're getting your answers online!)

Each sales associate working under Golf Realty could potentially face charges related to practicing real estate without a valid license. If Golf Realty allowed their real estate brokerage license to lapse.

Real estate licensing is a legal requirement for individuals involved in real estate transactions, including sales associates. If Golf Realty allowed their real estate brokerage license to lapse and the sales associates continued to practice real estate without a valid license, they could be charged with unauthorized practice of real estate or a similar offense.

The specific charges and legal consequences may vary depending on the jurisdiction and applicable laws. In many jurisdictions, practicing real estate without a license is considered a serious offense as it undermines consumer protection and regulatory requirements. Penalties for unauthorized practice may include fines, license suspension or revocation, and potential civil liability for any harm caused to clients or parties involved in the transactions.

It is important for individuals working in the real estate industry to ensure that they maintain valid licenses and comply with all relevant regulations to avoid potential legal issues. If the sales associates were unaware of the lapsed license and can demonstrate good faith in their actions, it may be taken into consideration during any legal proceedings.

Learn more about transactions here:

https://brainly.com/question/24730931

#SPJ11

Reliable sources are what make your research paper solid and strong.

Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.

This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.

Learn more about Solid:

brainly.com/question/12649605

#SPJ11

Answer:

a and b

Step-by-step explanation:

just trust =) ive done this before

Answer: The first one i think is C and the second one is B

Answer:

y+2x-5= 0

Step-by-step explanation:

Applying,

(y-y₁) = m(x-x₁)............... Equation 1

Where m = slope

But,

m = (y₂-y₁)/(x₂-x₁)

Given: y₁ = -3, y₂ = 1, x₁ = 4, x₂ = 2

m = (1+3)/(2-4)

m = 4/-2

m = -2

Substituting into equation 1

(y+3) = -2(x-4)

y+3 = -2x+8

y = -2x+8-3

y = -2x+5

y = 5-2x

y+2x-5 = 0

Answer:

\(x+y=27\)

\(y=2x+6\)

Step-by-step explanation:

Letting \(x\) and \(y\) represent the smaller and larger number, respectively we create these equations.

Answer:

there is supplementary angle

Answer:

(- 4, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\), \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = A (- 2, 8) and (x₂, y₂ ) = B (- 6, - 4) , then

midpoint = ( \(\frac{-2-6}{2}\), \(\frac{8-4}{2}\) ) = ( \(\frac{-8}{2}\), \(\frac{4}{2}\) ) = (- 4, 2 )

Answer: i put B an got it correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I chose B section P because it is linear and it's going up so that means it's increasing.

By using the diagram we can say that a and b is to filled with the reason that angles are vertically opposite angles and c is to be filled with the reason that when the lines are parallel the corresponding angles are congruent .

Given a figure in which there are eight angles.

We are required to fill the blanks with appropriate reason.

It is said that P and Q lines are parallel. Two lines are parallel if they do not meet in any condition.

a and b is to filled with the reason that angles are vertically opposite angles.

Vertical angles are basically formed when two lines meet each other at a point.

c is to be filled with the reason that when the lines are parallel the corresponding angles are congruent .

Hence by using the diagram we can say that a and b is to filled with the reason that angles are vertically opposite angles and c is to be filled with the reason that when the lines are parallel the corresponding angles are congruent .

Learn more about angles at https://brainly.com/question/25716982

#SPJ1

Answer:

79

Step-by-step explanation:

The answer is 27 m² and 9 m² of blue and brown fabric will be used respectively.

A square pyramid is a three-dimensional shape that has a total of four triangular faces.  

A most famous example of such a pyramid in real life is the Great Pyramid of Giza.

The sides are triangular faces are 3 m and 4.5m

Height of the prism is 4.5m and the side of the square base is 3m

The surface area for triangular face is (1/2) *  base * height

= (1/2) * 3 * 4.5

= 6.75 m²

For four faces the surface area of the blue fabric required is side * side

= 4 * 6.75

= 27 m²

For the base , brown fabric is being used and the surface area of the base is

= 3 * 3

= 9 m²

Therefore 27 m² and 9 m² of blue and brown fabric will be used respectively.

To know more about square pyramid structure

https://brainly.com/question/10676249

#SPJ2

The standard form of an equation of a circle is,

Where

(h, k) is the center

r is the radius

The first equation is that of a circle.

Now,

The second equation is,

This is an equation of a parabola (quadratic).

When a circle and parabola intersect (solution point), there can be maximum 4 solutions, or 4 intersecting points.

The graphs of the two equations are shown:

Answer:

5

Step-by-step explanation:

0.02x=0.8-0.7

0.02x=0.1

x=5

Answer:

x = 5

Explanation :

0.02(5) + 0.7 = 0.8

0.1 + 0.7 = 0.8

To convert a system of differential equations, we differentiate the second equation with respect to the independent variable and substitute for the derivative of the first equation.

Consider a system of differential equations in the form:

\(\frac{dx}{dt}\) = f(t)

\(\frac{dy}{dt}\) = g(t)

To convert this system into a second-order differential equation, we differentiate the second equation with respect to t:

\(\frac{d^{2} y}{dt^{2} }\) = g'(t)

Next, we substitute for \(\frac{dy}{dt}\) from the first equation:

\(\frac{d^{2} y}{dt^{2} }\)  = g'(t) = g'(x)

We now have a second-order differential equation in terms of x. By solving this equation, we can find the second derivative of y as a function of x.

To calculate the values of x at which certain conditions are satisfied, such as y = 0 and \(\frac{dy}{dt}\) = 0, we need additional information or initial/boundary conditions. Without specific conditions, it is not possible to find the exact values of x that satisfy these conditions.

Therefore, without further information, we cannot determine the specific values of x and y that satisfy the conditions y = 0 and \(\frac{dy}{dt}\) = 0. Additional conditions or information are necessary to obtain specific values.

Learn more about calculate here:

brainly.com/question/30151794

#SPJ11

Answer:

The choose B. 4√3

I hope I helped you^_^

Answer:

40

Step-by-step explanation:

Area = Base * height

A = 8 * 5

A = 40

Answer:

40

Step-by-step explanation:

A=b×perpendicular height

=8×5

=40

Daniel

Step-by-step explanation:

student of account

The rent expense allocated to each department is as follows: Jewelry department: $30,800, Cosmetics department: $46,200, Housewares department: $21,000, Tools department: $9,000, Shoes department: $18,000.

The retailer allocates 70% of the total rent expense to the first floor and 30% to the second floor. Then, the rent expense for each floor is allocated to the departments based on the square footage they occupy. By applying these allocation percentages and calculations, we determined the rent expense for each department.

Rent expense allocation:

- Jewelry department (1,760 sq ft on the first floor): ($130,000 * 70% * 1,760 sq ft) / (1,760 sq ft + 2,640 sq ft) = $30,800

- Cosmetics department (2,640 sq ft on the first floor): ($130,000 * 70% * 2,640 sq ft) / (1,760 sq ft + 2,640 sq ft) = $46,200

- Housewares department (1,848 sq ft on the second floor): ($130,000 * 30% * 1,848 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $21,000

- Tools department (792 sq ft on the second floor): ($130,000 * 30% * 792 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $9,000

- Shoes department (1,760 sq ft on the second floor): ($130,000 * 30% * 1,760 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $18,000

To know more about rent each year, click here: brainly.com/question/29133557

#SPJ11

A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.

Jewelry department - 1,760 square feet of first-floor space

Cosmetics department - 2,640 square feet of first-floor space

Housewares department - 1,848 square feet of second-floor space

Tools department - 792 square feet of second-floor space

Shoes department - 1,760 square feet of second-floor space

The company allocates 70% of total rent expense to the first floor and 30% to the second floor, and then allocates rent expense for each floor to the departments occupying that floor on the basis of space Occupied.

Determine the rent expense to be allocated to each department

Answer:

8/1

Step-by-step explanation:

because 800% is basically 800/100, when you divide both by 100 it would equal to 8/1 in simplest form

Answer: B

Step-by-step explanation:

You are combining like terms

12y+4y=16y

16y+2x

Answer:

See below.

Explanation:

First look at image attached

From the information given, we can solve this using the Sine Rule:

The sine rule states that:

sin

A

a

=

sin

B

b

=

sin

C

c

Finding angle C. Since we know angle A and side a, we will use:

sin

A

a

=

sin

C

c

sin

(

70

o

)

25

=

sin

C

26

⇒

sin

C

=

26

sin

(

70

o

)

25

=

0.9778

C

=

sin

−

1

(

sin

C

)

=

sin

−

1

(

0.9778

)

=

77.76

o

Angle

B

=

180

o

−

(

70

o

+

77.76

o

)

=

32.24

o

Side b:

sin

(

70

o

)

25

=

sin

(

32.24

o

)

b

⇒

b

=

25

sin

(

32.24

o

)

sin

(

70

o

)

=

14.19

So the solution is:

A

=

70

o

B

=

32.24

o

C

=

77.76

o

a

=

25

b

=

14.19

c

=

26

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

Learn more about linear inequality here: https://brainly.com/question/30440630

#SPJ11

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

For similar question on vertex.

https://brainly.com/question/1217219  

#SPJ8

The most important details are that the press in the Diegene is 4.58 atm and the mass flow rate is m = -418.12 kg/s. The status of air in connection II is saturated and the enthalpy of air can be calculated from a psychometric chart or tables. The pressure in the Diegene is 4.58 atm and the mass flow rate is m = -418.12 kg/s.

Given,In a Heat Exchanger of AIR Contition Equipment 500 1 real Air with 4= 40% and t = 32,9° will be cold. For this purpose, we get 13,743 MJ Heat Questions. We have to find:(a) show the press in die Diegene(b) mw in Real Air (c) Ind: Dry Air(d) the status of AIR in Conction II(e) How much we should get consumate untilure have Saturate AIR?Solution:(a) We know, Heat Absorbed(Q) = Mass Flow Rate(m) * Specific Heat Capacity(c) * Temperature Difference(ΔT)Q = m * c * ΔTWhere,Q = 13,743 MJc = 1.005 kJ/kg°C (Specific heat of dry air at constant pressure)ΔT = -32.9° (From 32.9°C to 0°C, temperature is decreasing)Mass Flow Rate(m)

m = Q / (c * ΔT)

= (13,743 * 10^6) / (1.005 * -32.9)

= - 418.12 kg/s

Absolute Pressure(P) = 1 atm (Assuming standard pressure)From Ideal Gas Equation,

PV = nRT

Where,

P = 1 atm

V = 500 m³ (Volume of air)R = 0.287 kJ/kg.K (Gas constant for dry air)

T = 32.9 + 273

= 305.9 K (Temperature in Kelvin)n = m / M (Where M is the molecular weight of dry air)

M = 28.97 kg/kmoln

= -418.12 / 28.97

= -14.41 kmol

Thus, P * V = n * R * TP * 500

= -14.41 * 0.287 * 305.9P

= -4.58 atm (Negative sign means the pressure is below atmospheric pressure)

Thus, the pressure in the Diegene is 4.58 atm. (Approximately)Hence, the correct option is (a) show the press in die Diegene = 4.58 atm (approximately)(b) Mass of real air, mw in kg/s, will be the mass flow rate, which is m = -418.12 kg/s(c) Ind: Dry Air(d) The status of air in connection II is saturated(e) We can find the enthalpy of air using a chart. Assuming we are getting consumate untilure, which is around 100% relative humidity and is the saturation condition. Therefore, the enthalpy of saturated air can be calculated from a psychometric chart or tables.

To know more about Heat Absorbed Visit:

https://brainly.com/question/30836915

#SPJ11

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

Learn more about circular cylinder here : brainly.com/question/2963891

#SPJ1