The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what are the
dimensions of the rectangle?
The width, or shorter side is i inches
Enter an integer or decimal number (more..
inches
The length, or longer side is

Answers

Answer 1

Answer:

b = 7 inches and l = 12 inches

Step-by-step explanation:

Given that,

The area of a rectangle, A = 84 sq inches

Let the width is b.

Length = (5+b)

The area of a rectangle is given by :

A = lb

So,

[tex]84=b\times (5+b)\\\\b^2+5b-84=0\\\\(b-7)(b+12)=0\\\\b=7\ in, b =-12\ in[/tex]

Neglecting negative value,

b = 7 inches

Length, l = 5+b = 5+7

l = 12 inches


Related Questions

2,45,250 students appeared for an entrance examination. If 94,750 students did not get admission, find how many students got admission.





can i please get the answer

Answers

Answer:

2.45.250- 94.750

= 92. 2975. this is the learners who got the admission

Answer:

1,50,500 students

Step-by-step explanation:

Hope this helps... vote as brainliest

plz answer this very important​

Answers

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

1 = 1

2 = 4

3 = 9

4 =?

Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:

1 = 1² = 1

2 = 2² = 4

3 = 3² = 9

Thus, we shall use the same logic to obtain that of 4. This is illustrated below:

4 = 4² = 16

Thus the answer to the question is 16.

Hi if you have a 65% grade can a 80% bring it up to a C 70%

Answers

Yes it should bring it up to a C or maybe it will be a 70 or 75

Answer:

Not a 70%, but a 72.5% (or a 73%)

Step-by-step explanation:

Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.

The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.

identify the 3D shape

Answers

Answer and Step-by-step explanation:

The 3D shape shown is a rectangle. This is the net-form of a rectangle.

#teamtrees #PAW (Plant And Water)

Answer:

rectangular prism

Step-by-step explanation:

a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.

using the digits 0-9 at most one time each fill in the boxes so that the fraction equals the decimal

Answers

Step-by-step explanation:

Z 00m

336"083"2553

(wZE2XQ) are

Let m Z1=(3x)º, m 22=(5x-7)", m 23=(4x+15), and m ZAFD=128º. Find m44 and m ZBFD.​

Answers

Answer:

m<4 = 52°

m<BFD = 98°

Step-by-step explanation:

m<1 = (3x)°

m<2 = (5x - 7)°

m<3 = (4x + 15)°

m<AFD = 128°

✔️Find m<4:

m<4 = 180° - m<AFD (angles on a straight line)

Substitute

m<4 = 180° - 128°

m<4 = 52°

✔️m<BFD = m<2 + m<3

Substitute

m<BFD = (5x - 7)° + (4x + 15)°

We need to find the value of x.

Create an equation to find x.

m<1 + m<2 + m<3 = m<AFD (angle addition postulate)

Substitute

3x + 5x - 7 + 4x + 15 = 128°

Add like terms and solve for x

12x + 8 = 128

12x + 8 - 8 = 128 - 8

12x = 120

12x/12 = 120/12

x = 10

m<BFD = (5x - 7)° + (4x + 15)°

Plug in the value of x

m<BFD = 5(10) - 7 + 4(10) + 15

m<BFD = 50 - 7 + 40 + 15

m<BFD = 98°

Given the set of vectors , decide which of the following statements is true:
A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.
B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.
C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.
D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.

(1,0,0),(0,1,2)

Answers

I think the answer is c sorry if I get it wrong

There are four white socks and six black socks in a drawer what is the probability of selecting a white sock not replacing it and then selecting another white sock

Answers

Answer:

Step-by-step explanation:

Add all the socks in the drawer to get a denominator

12

blue socks can be picked out of the

36

total socks, so

12

36

Then you take away one sock from the top and bottom, so you now have

11

35

Multiply the two numerators (

12

and

11

), then multiply the denominators (

36

and

35

), then divide the numerator by the denominator,

132

1260

, to get your answer.

Answer:

6/10

Step-by-step explanation:

1st step: 4+6=10

Select all that apply.
Which of the following name a line segment in the drawing?

Answers

Answer:

lineAF, CE, EF

Step-by-step explanation:

Because a line does not curve. And AB curves.

Assuming I got the correct question, this is the answer.

So, take this as an advice, and next time u post such questions, give a pick, so we know which question u are talking about

Thank You

Hope u understood

Please mark as brainliest

Question 1 of 10
Simplify this algebraic expression completely.
5y-3(y + 2)

Answers

Answer:

2y -6

Step-by-step explanation:

5y-3(y + 2)

Distribute

5y -3y - 6

Combine like terms

2y -6

if y=8, evaluate the following expression: 40-5y​

Answers

0
Explanation:
y = 8

40 - 5 x 8
40 - 40
= 0

Have a nice day

Helen is taking part in a quiz on tv. The Probability she answers the questions correctly is 4/5. Helen is asked two questions. Calculate the probability she answered both questions correctly

Answers

Answer:

16/25

Step-by-step explanation:

To find the probability that she gets both questions right, multiply the probabilities together:

4/5 x 4/5

= 16/25

So, the probability that she answers both correctly is 16/25

CAN YOU SOLVE THIS MATH PROBLEM 20 POINTS

Answers

The correct answer is A. x=22

Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)
Answer is x=22 just did the work if interested for the work lemme know

Stevens College plans to have 20 computers for every 100 students. How many computers are needed for 1,500 students?

Answers

Answer:

300 computers

Step-by-step explanation:

So I divided 1500 out of a 100 and got 15, then I multiply 15 to 20 and got 300.

(I am a high schooler so I hope this is 3rd grade math because I notice you are a college student and I hope this not some college tricky math, if you get this wrong I am truly sorry)

If F(x)= 3x-2 and G(x)= x^2+8, what is G(F(x))?

Answers

Answer:

(3x-2)^2+8= 9x^2-12x+12

A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.

Answers

Answer:

$3.50

Step-by-step explanation:

Given:

$10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise

P(6) = 1/6 ; p(5) = 1/6 ; p(4) = 1/6 ; p(1,2or3) = 3/6 = 1/2

P(x) ____ 1/6 _____ 1/6 _____1/6 _____1/2

x______ 10 _______ 7 _____ 4 _______ 0

Expectwd value ; E(x)

Σx*p(x) = (1/6 * 10) + (1/6 * 7) + (1/6 * 4) + (1/2 * 0)

E(x) = 3.50

Find the value for the side marked below.
Round your answer to the nearest tenth.
47
у
74°
y = [?]

Answers

Answer:

y ≈ 13.5

Step-by-step explanation:

In the given right triangle we have to find the measure of unknown side 'y'.

Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,

We will use tangent ratio for the given angle.

tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]

tan(74°) = [tex]\frac{47}{y}[/tex]

y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]

y = 13.48

y ≈ 13.5 units

If you help me I’ll mark brainliest

Answers

Answer:

∠2=92°

Step-by-step explanation:

Using an angle formula, -8x+144=2x+74

Simplification:

-8x+144=2x+74

-8x+70=2x

70=10x

x=7

Therefore, each angle is 88°

Now, because ∠2 is adjacent to one of 88°, they add up to 180°

Therefore,

180°=88°+∠2

∠2=92°

What is the axis of symmetry for the function f(x)=7−4x+x2?

x = –3
x = –2
x = 2
x = 3

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]y = {x}^{2} - 4x + 7 \\ y = (x - 2) {}^{2} - 4 + 7 \\ y = {(x - 2)}^{2} + 3[/tex]

Therefore, axis of symmetry is x = 2

The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

f(x)=7−4x+x^2

Rewriting as

f(x)  = x^2 -4x+7

a =1  b -4  c=7

The axis of symmetry is:

h = -b/2a

 = -(-4)/ 2(1)

 = 4/2(1)

 = 4/2  

 =a

The axis of symmetry is x=2.

Hence, The solution is: x=2, is the axis of symmetry for the function f(x)=7−4x+x2.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

Your job in a company is to fill quart sized bottles of oil from a full 50-gallon oil drum

Answers

Step-by-step explanation:

....

I Dont Known........

Answer:

16 full cases

Step-by-step explanation:

4 quarts to a gallon

50 gallons is 200 quarts (50 x 4)

200 quarts / 12 quarts per case = 16.66667 (.66667 isn't a full case)

so, it's 16

What is the standard form of y - 8 = 2(x + 3)

Answers

Answer:

y=2x+14

Step-by-step explanation:

y=2x+2.3+8=2x+14

Ahmad made $114 for 12 hours of work. At the same rate, how many hours would he have to work to make $108?​

Answers

Answer:6

Step-by-step explanation:


Answer: 6

Step-by-step explanation

Ali wants to attend more group exercise classes at his gym. This week, he plans to attend 1 cardio class and 5 weightlifting classes, which will last a total of 237 minutes. Next week, he hopes to attend 5 cardio classes and 5 weightlifting classes, which will last a total of 465 minutes.

a) Write a system of equations that represents the above situation.





b) Use the elimination method to show the length of the cardio class and the length of the weightlifting class.

Answers

Answer:

x + 5y = 237

5x + 5y = 465

Step-by-step explanation:

Let

x = length of cardio class

y = length of weightlifting class

x + 5y = 237 (1)

5x + 5y = 465 (2)

Using elimination method

Subtract (1) from (2) to eliminate y

5x - x = 465 - 237

4x = 228

x = 228/4

x = 57 minutes

Substitute x = 57 into (1)

x + 5y = 237 (1)

57 + 5y = 237

5y = 237 - 57

5y = 180

y = 180/5

y = 36 minutes

x = length of cardio class = 57 minutes

y = length of weightlifting class = 36 minutes

Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?

Answers

Answer:

Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.

Answer:

c

Step-by-step explanation:

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

which is approx $123.

Hence final answer is C) $123.

calculate the value of A in the statement​

Answers

please edit your question man

1, Find the interior angle of a regular polygon with 20 sides. What is the size of exterior angle?
2, Calculate the
(I) exterior angle
(ii) the number of sides of a regular polygon with an interior angle of
(a) 60° (b) 72° (c) 165°​

Answers

Answer:

Step-by-step explanation:

1) (20 -2) * 180 = 3240 (sum of the inner angles)

3240 : 20 = 162 degrees

2)  (I) 180 - 162 = 18 degrees

(ii)

a = 3 (it is an equilateral triangle)

b = 5 (it is a pentagon)

c = 24

Answer:

1. 180(n-2) gives you the angle sum

devide by n to get the value of one interior angle

n are the number of sides, or corners

180(20-2)/20 = 162° is the interior angle.

the exterior angle is just 360°-162° = 198°

2i) seems to be included in 1), pls clarify if that's not the case.

remember

180(n-2)/n = int.angle

let's do this with (a) 60°

180(n-2)/n = 60

(180n-360)/n = 60 |*n

180n-360 = 60n |-180n

-360 = -120n |/(-120)

3 = n

2iia) 3 sides / triangle

2iib) 5 sides / pentagon

2iic) 24 sides

One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes together.

Which equation could be used to find the number of lattes, x, sold at café

Answers

Answer:

x=6

Step-by-step explanation:

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:
H, :μ< 26.9
Ha : μ> 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

If the null is rejected, then we conclude that the average Consumption of beer and cider by customers who are 21 years and above is greater than 26.1

A type 1 error is committed if the null hypothesis is incorrectly rejected ; this means we will be concluding that customers who are 21 years and older have higher average Consumption when they actually do not. This may lead to a restriction on beer consumption in the city when there actually isn't a need for it.

For type 2 error, a false null is incorrectly accepted, in this scenario, we are saying that the consumption of beer and cider is not beyond the mean value when in actual sense it is.

Translate the phrase into an algebraic expression.
3 more than b

Answers

Answer:

b+3 or 3+b

Step-by-step explanation:

I WILL MAKE YOUR ANSWER THE BRAINLIST MAKE SURE YOU ARE RIGHT

FIND THE VOLUME OF THE CONE

Answers

Answer:

301.59

Step-by-step explanation:

V=1/3hπr²

sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer

Other Questions
Predict how all of the conflicts in The Outsiders will be resolved. Then, for each conflict, predict a complication that could prevent the characters from solving the problem. Complete each of the sentences with the correct word or words regarding the function and structure of nails. a. Nails are a scalelike modification of the __________layer of the _________b. Nails form on the _______edges of the fingers and the toes. c. Fingernails _________digits from damage protect the 1. stratum corneum 2. do 3. dermis 4. do not 5. ventral 6. epidermis 7. dorsal Add the following rational numbers: -1/6 and 3/10 Life is worth living if we are content with what we have. Do you agree to this statement. Explain it can dna replication occur without proteins , The average temperature of Kopikoville was reported to be - 23 last year. This year, the average temperature of Kopikoville rose by 6. Which of the following is true about this year's average temperature of Kopikoville? A. This year's average temperature of Kopikoville is - 29. B. This year's average temperature of Kopikoville is - 17. C. This year's average temperature of Kopikoville is 17. The length of the missing sides Simplify fullya) 8cd^5 2cdb) 9ab^5 3ab plsssssssssssss help What are the functions of the kidneys that help in maintaining Homeostasis?A. remove waste products from the bloodB. help maintain the balance of electrolytes, pH, and fluid in the body.C. release hormones that help keep the bones healthyD. All are correct choicesE. Non of the choices are correct Simplify........................ Factores de la union goda y hispanoromana. Which French document promoted the rights of all men?a. the Declaration of Colonial Rightsb. the Declaration of the Rights of Man and of the Citizenc. the Declaration of Independence d. the Declaration of Sentiments Learning is a big part(15) .. life. We start learning right away. Babies learn how to walk and say words. They learn from their parents. They learn from their (16) .. brothers and sisters. They learn what to eat and to drink. They learn what to do (17) .. they are cold. They learn when to sleep. All of these things are learned by watching others.First, a young child watches others, and then, he or she (18) .. to do those things. Later, we learn to read. This is the main way we learn about the world when we are in school. We learn about other countries. We learn about animals and plants. We learn about history. Reading (19) .. the door to the world of books. Books can teach us about anything. Reading to learn is a very important skill we (20) .. at school. We learn how to teach ourselves with books.But our learning does not stop with books. As we get older, our teachers in school show us another way to learn. This next type of learning is through writing. Did you know that you can learn by writing? We learn more from writing our ideas than from only reading. This is also another way we learn.15.A.atB.inC.of16.A.youngerB.olderC.little17.A.whenB.whatC.who18.A.hasB.findsC.tries19.A.closesB.opensC.brings20A.doB.ownC.DevelopThe end ADvantage of friction Which of these are refusal skills? Select the three correct answers.A. Saying "no"B. Presenting alternativesC. Validating others' opinionsO D. Taking responsibility What were the intended effects of Roosevelts speech? Check all that apply.to make Americans believe that going to war was the right thing to doto help Americans believe in the strength of Britains leadersto make Americans feel patriotic and nobleto prompt citizens to research more information about Hitler to convince Congress to become involved in the warto provide a credible source on current events in Europe which one is not a lip Compared with medieval art, Renaissance art often appeared to be?