The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle

Answers

Answer 1

Answer:

Step-by-step explanation:

 L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w      -       6 )( w  +       2  ) = 0

w - 6 = 0 ----> w = 6 ----> L=10  ---> P = 32  and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected


Related Questions

Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as elena. Link drank twice as much as Jada. Did jada drink more or less then elena? Explain how you know

Answers

Answer:

Step-by-step explanation:

3\4 bc on a nuberline it would be 3 3\4

                                                        I--I----(etc)

so yeah hope i helped

Ahmed bought a TV for his room in 2016 for AED 1,500. he decided to sell it in 2020 for AED 900. what is the rate of depreciation when he bought the TV and when he sold it

Answers

Answer:

40% depreciation over the 4 years

10% depreciation per year

Step-by-step explanation:

The number of years between buying and selling is:

2020 - 2016 = 4

4 years

The amount of depreciation in the 4 years is:

AED 1,500 - AED 900 = AED 600

The percent depreciation for the 4 years is:

(1500 - 900)/1500 * 100% = 40%

The percent depreciation per year is:

40%/4 = 10%

Little’s Law Firm has two lawyers. Customers arrive randomly at an average rate of 1 per hour. Service times have a mean of 60 minutes and a standard deviation of 15 minutes. What is the average number of customers in Little’s Law Firm?

Answers

Answer:

[tex]X=4[/tex]

Step-by-step explanation:

From the question we are told that:

Number of lawyers [tex]N=2[/tex]

Arrival Rate [tex]r= 1 per hour[/tex]

Mean [tex]\=x=60min[/tex]

Standard deviation [tex]\sigma= 15[/tex]

Generally, the equation for average number of customers in Little’s Law Firm

is mathematically given by

[tex]X=Arrival rate (r) * Average service time (t)[/tex]

[tex]X=1*\frac{60}{15}[/tex]

[tex]X=4[/tex]

Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B

Answers

9514 1404 393

Answer:

  perimeter ≈ 12.4 units

Step-by-step explanation:

The side adjacent to the angle is given. The relationships useful for the other two sides are ...

  Tan = Opposite/Adjacent

  Cos = Adjacent/Hypotenuse

From these, we have ...

  opposite = 5·tan(22°) ≈ 2.02

  hypotenuse = 5/cos(22°) ≈ 5.39

Then the perimeter is ...

  P = a + b + c = 2.02 + 5 + 5.39 = 12.41

The perimeter of ∆ABC is about 12.4 units.

An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
Z-3-7)
2173)
27-3)
21-7-3)

Answers

Answer:

Does the answer help you?

Nick needs one more class to complete his schedule. There are 5 writing classes, 3 history classes, and 4 mathematics classes that can fit into his schedule. If Nick chooses a class at random, what is the probability that he chooses a history class? Give your answer as a fraction.

Answers

Answer:

1/4

Step-by-step explanation:

Probability = 3/(5+3+4)

= 3/12 or 1/4

find the side of a cube whose surface area is 150² m​

Answers

Answer:

6 m

Step-by-step explanation:

[tex]surface \: \: area = 4 {s}^{2} [/tex]

s is side

[tex]150 = 4 {s}^{2} \\ {s}^{2} = 37.5 \\ s = 6.1 \: m[/tex]

Each edge will be 5 m long

There are 6 identical square faces
Area of each face = 150 / 6 = 25 m^2
Edge length = sr(25) = 5 m

Please answer spammers will be reported ​

Answers

Answer:

Answer is number 2 as twice of 2 is 4 and double of 4 is 8 and 8+2=10

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

PLEASE HELP

-1/2m=-9

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

m=18

Step-by-step explanation:

-1/2m=-9

-m=-18

m=18

[tex] \begin{cases} \\ \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m = \: 18 \: \\ \\ \end{cases}[/tex]

Pls help me plakalalla

Answers

Answer:

#10 x = 6

Step-by-step explanation:

Not sure how many questions you needed answered.  The line segments DE + EF = DF

4x - 1 + 9 = 9x - 22

solve for x

x=6

The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviation Sigma = 3.3. What percentage of the scores are between 75.8 and 89?

Answers

Notice that

75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3

89 = 82.4 + 6.6 = 82.4 + 2 × 3.3

Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.

Answer:

b

Step-by-step explanation:

x^2+ 8x+ How to make it a perfect square

Answers

The answer to that is blaksjsjsjsjsjsjnsksjsjsjsksjdjsjsjdjkdkdkdkdkdk

Hey there! I'm happy to help!

A perfect square means that this equation is the product of two identical binomials (this is a quadratic due to the x^2, so it is made up of two binomials) so for example (x+2)(x+2) would be x^2+4x+4 which is a perfect square as you can square root x^2+4x+4 and (x+2) and not some other crazy thing.

So, we have most of the final quadratic but we need the one constant number on the end. How are we going to find it?

If you are familiar with quadratics, you probably know that adding the two numbers in the binomials gives you b and multiplying them gives you c with a quadratic ax^2+bx+c because of the foil method (if you don't know what that it is, just comment on the answer and I can explain it to you). Basically what that tells us is that our binomial numbers are going to add up to be eight (and we also know that they must be the same number as we want a perfect square). We know that 4+4 is equal to eight, so that means that our binomial pair will look like this:

(x+4)(x+4)

And we also know that multiplying them gives you c, so 4×4=16 and there is our c. We just throw it on at the end of the equation.

x^2+ 8x+16

If you have any more questions, feel free to ask me. Have a great day! :D

Find the surface area of this triangular prism.

Answers

Answer:

96

Step-by-step explanation:

Surface area=2*Area of triangle+Area of different rectangular strips

Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96

Is 9/16 closest to 0, 1/2, 1, or 9

Answers

Answer:

1/2

Step-by-step explanation:

9/16 is equal to 0.5625 . The closest number to this is 0.5 which is the same as 1/2

Hello Pls help and thanks

Answers

Answer:

c.) in the correct answer

Use a calculator to find
the mean of the data.
{217, 253, 214, 247,
217, 253, 232, 246,
223, 227, 229, 247,
206, 241, 239, 223,
222, 216, 252, 209,
236, 256}

A. 230.811

B. 231.045

C. 232.045

D. 232.811

Answers

Answer:

232.045

Step-by-step explanation:

217 + 253 + 214 + 247 + 217 + 253 + 232 + 246 + 223 + 227 + 229 + 247 + 206 + 241 + 239 + 223 + 222 + 216 + 252 + 209 + 236 + 256 = 5105

5105 / 22 = 232.045454545

Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per
day (rounded to the nearest hour)
Number of hours spent doing leisure and sports activities per day
Sample A: Number of adults
70 90 135 140 65
Sample B: Number of adults
80 80 130 135 75

Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct-Dan or Bret?
Explain your answer in two or three sentences. Make sure to use facts to support your answer.

Answers

Dan is Correct by concluding  that adults spend a mean of 3 hours each day doing leisure and sports activities. because [tex]3.08[/tex] hours or [tex]3.09[/tex] hours which are the mean time of sample A and B  is approximately equal to 3 hours

From the question we are told that:

Total Sample size [tex]n=500[/tex]

Dan's mean  [tex]\=x_D= 3hr[/tex]

Bret's mean   [tex]\=x_D= 4hr[/tex]

Generally, the  Total hours spent doing leisure and sports activities  is mathematically given by

For Sample A

[tex]T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\[/tex]

[tex]T_a=1540 hours[/tex]

For Sample B

[tex]T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)[/tex]

[tex]T_b=1545[/tex]

Therefore

Mean Time spent doing leisure and sports activities by an American Adult

For Sample A

[tex]T_A=\frac{T_a}{n}[/tex]

[tex]T_A=\frac{1540}{500}[/tex]

[tex]T_A=3.08[/tex] hours

[tex]T_A \approx 3[/tex] hours

For Sample B

[tex]T_A'=\frac{T_b}{n}[/tex]

[tex]T_A'=\frac{1545}{500}[/tex]

[tex]T_A'=3.09[/tex] hours

[tex]T_A' \approx 3[/tex] hours

In conclusion

Dan is Correct because [tex]3.08[/tex] or [tex]3.09[/tex] which are the mean time of sample A and B is approximately equal to [tex]3[/tex]

Learn More about this at

https://brainly.com/question/14355235

Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing x>0; Decreasing x<0

B. Decreasing on all real numbers

C. Increasing on all real numbers

D. Increasing x<0; Decreasing x>0

Answers

Answer:

Option A, increasing x>0; decreasing x<0

FIND THE AREA OF THE SHAPE BELOW

PLEASE HELP I HAVE BEEN STUCK ON THIS FOREVERRRR!!
THANK YOU

Answers

Answer:

Is answer 22 units sqaure ?

Which of the following theorems verifies that angle DEF ~ angle XZY?

Answers

Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.

So we can determine that the measure of the missing angle

of our first triangle is 40° because 90 + 50 + 40 = 180.

Now we have two pairs of congruent angles,

the 40° angles, and the 90° angles.

Therefore, since two of the angles of one triangle are congruent to

two of the angles of the other triangle, we can say that yes, the

triangles are similar by the Angle-Angle Similarity Postulate (AA~).

A square pyramid with a base edge of 1 cm and pyramid height of 2 cm has a volume of 2/3 cm3.

.True

.False

Answers

Answer: True

Step-by-step explanation:

volume of a square pyramid = (1/3) · b² · h

b = base edge = 1 cmh = height = 2 cm

Therefore, the volume would become:

[tex]\frac{1}{3}*1^{2}*2= \frac{1}{3}*1*2=\frac{1}{3}*2=\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

False

What is the domain of the function in the graph?

Answers

Answer:

7≤r≤12

Step-by-step explanation:

The domain is the values that the input takes

The input goes from 7 to 12

7≤r≤12

Answer: Choice B) [tex]7 \le r \le 12[/tex]

=============================================================

Explanation:

The domain is the set of allowed x inputs of a function.

How far to the left can we go on this red line? That would be x = 7.

How far to the right? That would be x = 12.

We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).

So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.

what song goes whoooooo Iiiiii smoooooooooke ​

Answers

Answer:

Lol yu lateee das "who i smoke by yung ace"

Step-by-step explanation:

Answer:

woogle said woo hoo  by rock a teens

Step-by-step explanation:

given the circle find the arc measure

Answers

9514 1404 393

Answer:

  87°

Step-by-step explanation:

Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.

 arc FG = 180° -93° = 87°

Calculate a high estimate for each. Show your work?81×37​

Answers

Step-by-step explanation:

2997

81

×

37

=2997

it just a simple calculation just multiply the numbers

Given that (-7,3) is on the graph of f(x), find the
corresponding point for the function
f(x) +5.
Enter the correct answer.
OOH
DONE
Clear all
?

Answers

✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅✅

Mr. Lock bought 6 quarts of oil for his car. He spent $16.02. How much was each quart of oil?

Answers

Answer:

2.67

Step-by-step explanation:

To solve this problem do 16.02 / 6.

I hope this answer helps you out! Brainliest woudl be appreciated.

Choose all the numbers that are multiples of 2.
A 18
B. 21
C. 34
D. 45
E 50
F. 67
G. 83

Answers

Answer:

18 , 34and 50 are multiples of 2

Step-by-step explanation:

2×9=18

17×2=34

25×2=50

Answer:

A,C,E

Step-by-step explanation:

A,9×2=18

C,17×2=34

E,25×2=50

a gift wrapping store has 8 shapes of boxes, types of wrapping paper, and 12 different bows. How many different gift-wrapping options are available at this store?

Answers

Answer:

This sum is related to fundamental principal of counting which states that if one thing is happen in m different ways and other thing happen in n ways, Then both thing will happen in mn ways. We shall use its generalised form.

In given sum, Number of shapes of boxes=8

Number of types of wrapping papers=14

Number of different bows=12

As gift wrapping includes three items Therefore by fundamental principal of counting, number of different gift wrapping option =8×14×12= 1344

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

8 boxes* 8 paper * 12 bows

768 different combinations

A manufacturing company plans to coat the entire exterior of a cylindrical shipping container with a 0.075-mm layer of special rust proof paint. The cylinder has a radius of 5 cm and height of 12 cm. The paint costs $0.35 per cubic centimeter. What is the cost of the paint for each cylinder?

Answers

Answer:

534.07cm² * 0.35=186.9245 dollar

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