The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.

Answers

Answer 1

The length and width of the given rectangle is 16cm and 13cm.

What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.

Formula of perimeter of a rectangle: 2(l+b)

Let, width be 'x' then length will automatically be 'x+3'.

Now, put the values in the formula:

P = 2(l+b)58 = 2(x+3+x)58 = 2(2x + 3)58 = 4x + 64x = 58 - 64x = 52x = 52/4x = 13

So, width is 13cm then length is (13+3) that is 16cm.

Therefore, the length and width of the given rectangle is 16cm and 13cm.

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Related Questions

Work out the volume of the cuboid below.
Remember to give the correct units.
13 m
5m
13 m
3 m

Work out the volume of the cuboid below.Remember to give the correct units.13 m5m13 m3 m

Answers

Answer:

195m^3

Step-by-step explanation:

Volume of a rectangle = Length x Width x Height

L = 5m

W = 3m

H = 13m

V = 5m x 3m x 13m

V = 195m^3

Can someone pls help me with it’s due tonight

Can someone pls help me with its due tonight

Answers

Answer:

7/17

Step-by-step explanation:

8+2=10/17

17-10=7

geraldo has a gold chain that is 34 inches long.he cuts it into 2 1/8 - inch-long chains.how many gold chains does geraldo have now

Answers

The number of gold chains that Geraldo will have is 16 gold chains.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since Geraldo has a gold chain that is 34 inches long and he cuts it into 2 1/8 - inch-long chains.

The number of chains will be:

= 34 ÷ 2 1/8

= 34 / 2.125

= 16

He'll have 16 chains.

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What is the rate of change in the table for 2.6(x-7)^2 + 16, please.

Answers

Answer:

the rate of change is negative 0.93 since x is 1 and u subtract 0.07 u get my answer. trust me im learning this im right

Step-by-step explanation:

the area of a square with side s is ()=2a(s)=s2. what is the rate of change of the area of a square with respect to its side length when =5s=5

Answers

The rate of change of the area of a square with respect to its side length when s = 5 is 10.

The given equation represents the area of a square as a function of its side length, A(s) = s^2.

To find the rate of change of the area with respect to the side length, we differentiate the area function with respect to s:

dA/ds = 2s.

Substituting s = 5 into the derivative, we have:

dA/ds = 2(5) = 10.

Therefore, the rate of change of the area of a square with respect to its side length when s = 5 is 10. This means that for every unit increase in the side length, the area of the square increases by 10 units.

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Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Using the regression formula with a slope = .704 and an intercept = .719, what would the predicted college gpa be for a student whose current high school gpa = 3.2?

Answers

The predicted college gpa be for a student whose current high school

gpa = 3.2 is 2.9718.

What is linear regression?

In statistics, a scalar response and one or more explanatory factors are modeled using a linear approach called linear regression. Simple linear regression is the scenario in which there is only one explanatory variable; multiple linear regression is the scenario in which there are numerous explanatory variables.

When predicting a variable's value based on the value of another variable, linear regression analysis is utilized. The dependent variable is the one you're trying to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.

The linear regression for Y (dependent variable) on X (independent variable) is given by:

Y = a + bX

where,

a be the y-intercept

b be the slope of the line

When the slope is positive (or negative), the regression line is presumed to be increasing, which gives rise to the characteristics for the assumption (or decreasing).

For a = 0.719, b = 0.704, and X = 3.2, the predicted college GPA exists,

Y′ = 0.719 + (0.704 \(*\) 3.2) = 2.9718

Therefore, the predicted college gpa be for a student whose current high school gpa = 3.2 is 2.9718.

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What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2

Answers

The degree is 2 because the highest exponent in the polynomial is 2

In New York, it snows 8 inches in 3 hours. At this rate, how many inches of snow did they get in 9 hours?
Show Your Work


Anyone plz help

Answers

Answer: 24 inches

Step-by-step explanation:

Set up the proportion 8/3 = x/9 so the 8 inches match up with the unknown amount of inches it snowed and 3 hours with the 9 hours. Cross multiply. 3x = 72Divide by 3 on both sides. x = 24

find the cost of of 1/2 litre if if 6 litres cost £7.20

Answers

if 6 litres cost £7.20

then 1/2 of it will cost 'x'(algebraic value)

we form equation

\( \frac{ 7.2}{6} \times \frac{1}{2}x\)

which is equal to 0.6

Cost of 1/2 liter is £0.6.

What is unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

According to the question

Cost of 6 liters ⇒ £7.20

Cost of 1/2 liter ⇒ X

According to the unitary method

6X = \(7.20\times\frac{1}{2}\)

X  = \(\frac{7.20}{6}\times\frac{1}{2}\)

X = \(\frac{3}{5}\)

X = £0.6

Cost of 1/2 liter is £0.6

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In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data. you are not required to find the model, just choose the appropriate regression and explain how to use the technology. (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1)

Answers

The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

How to determine the regression equation?

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

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you order two tacos and a salad. the salad costs $2.50. you pay 6% sales tax and leave a $3 tip. you pay a total of $13.60. how much does one taco cost?

Answers

The cost of one taco is $3.75.

We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.

The equation will be -

2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60

2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60

Now, solving this equation to find the value of x and hence the cost of one taco.

2x + 2.50 + 0.12x + 0.15 + 3 = 13.60

Performing addition on Left Hand Side

2.12x + 5.65 = 13.60

Shifting 0.18 to Right Hand Side and performing subtraction

2.12x = 13.60 - 5.65

2.12x = 7.95

x = 7.95÷2.12

Performing division

x = 3.75

Thus, the cost of one taco is $3.75.

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-10x+15=4x+1 please help lmso

Answers

Answer:

x = 1

Step-by-step explanation:

- 10x + 15 = 4x + 1 ( subtract 4x from both sides )

- 14x + 15 = 1 ( subtract 15 from both sides )

- 14x = - 14 ( divide both sides by - 14 )

x = 1

A multicore processor with 4 cores has 15 attached tape drives. There is a large number of jobs submitted to the system that each requires exactly 4 tape drives to complete execution. Assume that each job runs on 4 tapes for the entire duration of its execution. Also assume an endless supply of such jobs. The scheduler in the operating system will not start a job unless there are 4 tape drives available. When a job is started, 4 drives are utilized immediately for its execution and are not released until the job finishes.


Required:

a. What is the maximum number of jobs that can be in progress at once ?

b. What are the maximum and minimum number of tape drives that may be left idle at a given time as a result of this policy?

Answers

a. The maximum number of jobs that can be in progress at once is 3. b. The maximum number of idle tape drives at a given time is 3, and the minimum number of idle tape drives depends on the scheduling algorithm and job execution order.

a. The maximum number of jobs that can be in progress at once is determined by the number of available tape drives. In this case, there are 15 tape drives available. Since each job requires exactly 4 tape drives, the maximum number of jobs that can be in progress at once is 15 divided by 4, which is 3.75. However, since we cannot have a fraction of a job, the maximum number of jobs that can be in progress at once is 3.

b. The maximum number of tape drives that may be left idle at a given time is determined by the number of tape drives and the number of jobs in progress. Since there are 15 tape drives and a maximum of 3 jobs in progress, the maximum number of idle tape drives at a given time is 15 - (3 * 4) = 3.

The minimum number of tape drives that may be left idle depends on the scheduling of the jobs. If all the jobs are scheduled such that they fully utilize all available tape drives, then there would be no idle tape drives. However, if the jobs are not scheduled optimally and there are gaps in the execution of jobs, then some tape drives may be left idle. The minimum number of idle tape drives would depend on the specific scheduling algorithm and the order in which the jobs are executed.

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I’ll give brainliest pls help me:0

Ill give brainliest pls help me:0

Answers

Answer:

68719476736

Step-by-step explanation:

(4−2)−9

=(4−2)−9

=4(−2)(−9)

=418

=68719476736

Answer:

This is pretty simple, im almost certain you just make all exponents positive.

Step-by-step explanation:

so just make it 4 to the power of 2, to the power of 9

write one problem statement for each subject area that stactistics can solve

Answers

Answer:

look in explanation

Step-by-step explanation:

what is the probability of the ball hitting u in dodge ball in pe

what is the ratio of your computer to everyone else's in comp science

how much of your essay did you finish (in a fraction)

how many people are there in psychology class for every notebook?

PLEASE HELP FAST!!! I’ll give brainliest

PLEASE HELP FAST!!! Ill give brainliest

Answers

Quadratic and trinomial. Because highest degree is 2 and there are 3 terms

How do you explain graph analysis?

Answers

The strength and direction of relationships between objects in a network can be determined using analytical methods called "graph analytics" or "graph algorithms." In graph analytics, pairwise interactions between two items at once and structural aspects of the graph as a whole are the main topics.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Graph analytics analyses relationships between entities in a variety of applications by using graph-specific techniques such clustering, partitioning, breadth first search, PageRank, connected components, and shortest path:

Clustering is the process of grouping things according to their traits so that there is a high level of intra-cluster similarity and a low level of inter-cluster similarity. Machine learning, data mining, statistics, image processing, and numerous applications in the physical and social sciences are examples of applications.

To identify the cut with the fewest number of crossing edges, use cutting or partitioning. Applications include community discovery in social networks and identifying weak points in data and communication networks.

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Un tipo de tela cuesta $31.25 por 5 yardas cuadradas. Otro tipo de tela cuesta $71.50 por 11 yardas cuadradas. ¿La relación entre el número de yardas cuadradas y el costo es proporcional entre los dos tipos de tela?

Answers

Answer:

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Explicación paso a paso:

Para que una relacion sea proporcional

a:b = c:d

en otra forma

a/b = c/d

______________________________________________

Proporción para el primer tipo de tejido

costo de tela/ área de tela = 31.25/5 = 6.25

Ratio para otro tipo de tejido

costo de tela/ área de tela = 71.50/11 = 6.5

como proporción de dos tipos de tela es diferente.

por lo tanto, la relación entre el número de yardas cuadradas y el costo

no es proporcional entre los dos tipos de tejido

Step-by-step explanation:

trig integration x/square rooot of 36-x^2

Answers

xsin^-1(x/6)sqrt(36-x^2) - 1/2 ∫ (36-x^2)^-1/2 dx

To integrate x/square root of 36-x^2, use content loaded trig integration. First, we will use the formula u = sqrt(36-x^2) to rewrite the expression:

Integrate x/u

Then use trig substitution to get:

Integrate xsin^-1(x/6)dx/sqrt(36-x^2)

Finally, solve using integration by parts to get the answer:

xsin^-1(x/6)sqrt(36-x^2) - 1/2 ∫ (36-x^2)^-1/2 dx

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at gatech there are 30 students and 4 awards in chemistry, english, math and physics. i) assume that a student can have at most one award. how many possible selections for the 4 awards? ii) assume now that a student can have at most two awards. how many possible selections for the 4 awards ? iii) assume now that a student can have at most 3 awards. how many possible selections are the 4 awards?

Answers

If we assume that 1 Student can have atmost 1 award , then the possible selections for the 4 awards is  657720 .

The total number of students at Gatech is = 30 ;

The 4 awards that are being distributed to students are : Chemistry, English, Math and Physics ;

all the awards are different , and 4 students needed to be chosen out of 30 for 4 awards ; and

every student can have atmost only 1 award

So , the number of ways is = ³⁰P₄ (because order is important) = 657720 ;

Therefore , the possible selection for 4 awards is 657720 .

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The given question is incomplete , the complete question is

At Gatech there are 30 students and 4 awards in Chemistry, English, Math and Physics. Assume that a student can have at most one award.

How many possible selections for the 4 awards ?  

ll
Gina is making a square tablecloth.
54 in.
How much fabric will Gina need?

Answers

Answer:13.5

Step-by-step explanation:

13.5

What is the solution ?

What is the solution ?

Answers

Answer:

C

Step-by-step explanation:

I’m 90% sure that the answer is D

PLEASE HELP I CANT CONTINUE WITH MY WORK UNLESS THESE ARE COMPLETE AND CORRECT
IP Check: Solving Systems by Elimination
Teachers instructions:
Do not forget the PARENTHESIS in your answers.

PLEASE HELP I CANT CONTINUE WITH MY WORK UNLESS THESE ARE COMPLETE AND CORRECTIP Check: Solving Systems

Answers

Answer:

1) x=3, y=-3

Step-by-step explanation:

10x + 7y = 9 —— (1)

-4x -7y = 9 —— (2)

(1) + (2)

6x = 18

x = 18/6

x = 3

put x=3 in (1)

10(3) + 7y = 9

30 + 7y = 9

7y = 9 - 30

7y = -21

y = -21/7

y = -3

please give me brainlist if it is helpful for you

76. 6 25. 5 10. 87 =

What wa Sela' etimate and what i the actual um of the number?

Answers

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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the distance between the earth and the moon is approximately feet, and a rocket can travel there at a speed of about 1,540,000 ft/min. how long will it take the rocket ship to travel to the moon and back, in minutes? express your final answer in minutes and round to the nearest minute.

Answers

The average distance between the Earth and the Moon is about 238,855 miles or 1.28 light-seconds.

To convert miles to feet, multiply by 5,280, giving us approximately 1.27 million feet. A rocket traveling at a speed of 1,540,000 ft/min would take approximately 82.5 minutes to travel to the Moon. The round trip to the Moon and back would take approximately 165 minutes, or about 2 hours and 45 minutes.

It's important to note that this is an estimate and the actual time it takes may vary due to various factors such as the rocket's trajectory, speed, and other environmental conditions. Also, it's worth noting that this speed is significantly faster than current spacecraft speeds, so the actual time it would take a rocket to travel to the Moon and back is likely to be much longer.

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There were 125 students at a creative writing workshop last year. This year there are 140 students. What is the percent of increase in the number of students at the workshop?

Answers

Answer:

12%

Step-by-step explanation:

140/125= 1.12

Now ignore the one that lies before the decimal because technically percentage is based on hundreds so both 125 and 140 are over 12%

select all that apply which of the following statements is (are) true about variance? multiple select question. variance is a measure of the squared deviations of a security's return from its expected return. standard deviation is the square root of variance. variance measures a security's expected return over many periods. computation of variance requires the use of a computer.

Answers

The variance formula is straightforward to calculate, and it can be calculated using a calculator or spreadsheet software. While using a computer, the use of Excel spreadsheets is widespread in finance for variance and standard deviation computations.

Variance is a measure of the squared deviations of a security's return from its expected return, and standard deviation is the square root of variance. The computation of variance doesn't always require the use of a computer.The variance is the most frequently used measure of risk in finance. The security's returns' variability from its expected return is the measure of the variance.

It's computed by taking the deviations from the anticipated return and then squaring them. A larger variance means a larger risk level. Variance is used in a number of calculations in finance, including the calculation of the covariance matrix.

The standard deviation is the square root of variance. It's a measure of the spread of a data collection. It's frequently used to assess the amount of risk associated with investing. When the security's prices fluctuate more from its anticipated price, the standard deviation is greater. The standard deviation is the most frequently used risk measure in finance.

Variance computation may be done using a computer. However, manual computations are still possible. The variance formula is straightforward to calculate, and it can be calculated using a calculator or spreadsheet software. While using a computer, the use of Excel spreadsheets is widespread in finance for variance and standard deviation computations.

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7.
California has approximately 4 x 10' people living in it. The United states has
an approximate population of 3.3 x 108. How may more people live in the
United States than live in the state of California?

Answers

555555578686

5555555ghjg

Step-by-step explanation:

4x10

40x3,3x108

=14256

The graph of the function f(x) = –(x + 6)(x + 2) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0). Which statement about the function is true? The function is increasing for all real values of x where x –2. The function is decreasing for all real values of x where x < –4.

Answers

Answer:

see below

Step-by-step explanation:

f(x) = –(x + 6)(x + 2)

The function is increasing until it reaches the vertex, so it will increase until x=-4.  The function will decrease after the vertex, so after x = -4

increasing: -∞ < x < -4

decreasing : -4 < x < ∞

Answer:

The function is increasing for all real values of x where x is -2

Step-by-step explanation:

You can put your work in a graphing calculator

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What are 3 ways an author develops a theme?. A laser with a wavelength of 600 nm is passed through a diffraction grating with 600 lines per mm. How far from the grating must you place a screen with width w = 30 cm (width, not thickness) to just barely see both the left and right m = 2 maxima on the edges of the screen? Completa la oracin con el verbo estary el participio pasado.Estudiar a distancia es muy cmodo. Yo estoy en pijama, tomando jugo, y todas las preguntas del examenestoy respondiendoson respuestasestn respondidasestoy respondido what class is sodiumtrioxocarbonate(IV) strong or weak base and why? The number of cavities you will develop in a year varies inversely with the total number of minutes spent brushing your teeth. If Jim Bo Smith only brushes his teeth for half a minute and developed 4 cavities in the year, how many cavities will he get if he brushes his teeth for 2 minutes each time? Jack is running a 5-mile race with Jill. Jack's run is represented by the function d = 0.05t, where d isdistance traveled in miles and t is the minutes run. Jill's run is represented by d = 0.04t+ 0.5.Part AHow do the graphs of Jack's representative function and Jill's representative function compare to thegraph of the linear parent function?Part BWhat do the effects of comparing Jack and Jill's functions to the linear parent function mean in the real-world context? The ____ tool combines all possible overlapping and non-overlapping areas from two layers and joins their attribute tables.A. IntersectB. UnionC. DissolveD. Clip how do we know what happens at the event horizon of a black hole? we don't know for sure: we only know what to expect based on the predictions of general relativity. astronomers have analyzed the light from matter within the event horizon of many black holes. physicists have created miniature black holes in the lab. astronomers have detected x-rays from accretion disks around black holes. astronomers have sent spacecraft through the event horizon of a nearby black hole There are ________ different skeletal muscles that are responsible for the movement of the body through contractility, extensibility, and elasticity. Which of the following operations would most likely need to be inside a critical section? Select one: a Fetch the value of a shared variable. b Fetch the value of a nonshared variable.c Reduce the value of a shared variable by 1 d Reduce the value of a nonshared variable by 1 from a prior scene the audience knew that the lead was hysterical because of the contemptible villain The role of the papillary muscles is toA. Allow backflow of blood into the atria when the venticles arefull. B. hold the heart in position within the mediastinum. C.transmit the action potential to Researchers wanted to study if having a long beak is related to flight and birds they surveyed a total of 34 birds the data are shown in the contingency table below what is the relative risk of flying for those birds that have long beaks Use the diagram below to answer 3 questions if people speculate that a run on one bank will cause a run on all banks in the finacial system and this pwculation proves accurate, then the the financial system would experience what is known as Who won the third stage of conflict, According to Zaroff, what will happen the next day An chicken with black feathers is crossed with a chicken with all white feathers, the chickens are born with both black and white feathers. What type of dominance is shown? A. Complete dominance B. Incomplete dominance C. Co-dominance D. Mixed dominance E. None of the above - Find the length of the missing side of the light the8 cm15 cmA.)289 cmB.)17 cmC.)23 cmD.)4.79 cm ASAP!!! ITS URGENT Write the formula, and find the volume of each right rectangular prism. After the success of the Sputnik launch in 1957, the US feared that it would never be able to launch its own satellite. The USSR had used technology developed by the US. The Soviets had superior nuclear capabilities. Any future satellites would not be as successful.