The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer 1

Answer: [tex]16p^{2} -9[/tex]

Answer 2

The area of the rectangle is [tex]16p^{2} -9[/tex].

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The side length of square = 4p

The length of rectangle, l = 4p+3

The width of rectangle, w = 49-3

The formula of area of rectangle is

[tex]A=lw[/tex]

⇒ [tex]A=(4p+3)(4p-3)[/tex]                 [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]

⇒ [tex]A=(4p)^{2} -3^{2}[/tex]

⇒ [tex]A=16p^{2} -9[/tex]

Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].

Learn more about the rectangles here

brainly.com/question/12019874

#SPJ2


Related Questions

Help please
3 |X-4| +1 = 19

Answers

The answer would be X = 10

please help me with this

Answers

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

Can someone plz help me with this?

Answers

Answer:

D

Step-by-step explanation:

because the odds have to be even if the possobility number is even

Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3

Answers

Answer:

Less than 4 I guess??

This part I have scribbled so I can answer

no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh

Answer:

D

Step-by-step explanation:

Hi i need some help on this it will really help

Answers

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

Which of the linear solution has no solution?

Answers

Answer:

c

Step-by-step explanation:

it will eventually cancel

The Answer Is C! :))

Please Help!! I will give Brainliest to the correct answer!!

Evaluate 12.3s +11.9t when s= 3 and t = 4



Thank you so much

Answers

Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

Answer:

87.5

Step-by-step explanation:

12.3 x 3= 39.9=s

11.9 x 4= 47.6=t

47.6 + 39.9= 87.5

4. (Claim 1 Example)
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
H
16 ft
Ladder
20 ft

Х
Ground
Select all equations that can be used to solve for e.
12
12
sino =
cos 0 =
A.
20
B.
20
tan
C.
12
20
16
sin =
20
16
cos O =
20
tan
16
20
D.
E.
F.

Answers

Answer:

D

Step-by-step explanation:

using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)

D is the only one that uses the correct equation of S = o/h

(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)

its d hope this helps

COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help​

Answers

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

In Fluorescent higher secondary school there are 53 students in class 8. If number of boys is 3 morethan that of number of girls find.
a. Equation representing the number os students.
b. The number of Boys and Girls.​

Answers

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

10/27=a/135
what is the answer for this equation?

Answers

Answer:

So we have this equation:

10/27 =  a/135

What we can do is multiply  both sides by 27 and 135:

10*135 = a * 27

1350 = 27a

a = 1350/27. = 50.

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

Help me out

Length = m

Answers

[tex]perimeter = a + b + c[/tex]

[tex]perimeter = 4 + 3 + c[/tex]

//

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]

[tex] \sqrt{25} = 5[/tex]

[tex]c = 5 \: meters[/tex]

//

[tex]perimeter = 4 + 3 + 5[/tex]

[tex]perimeter = 12 \: meters[/tex]

//

[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]

If a model of a dinosaur is 3.75 feet and the scale factor for the actual dinosaur is 1:24. What is the size, in feet, of the actual dinosaur?

Answers

Answer:     120

Step-by-step explanation:

Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.

LengthWidth=scaleactual=4l=scaleactual=8w

Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.

LengthWidth=4l=1160=8w=1160

Next, cross multiply each equation.

LLWW=4×160=640 feet=8×160=120 feet

Then, to find the area of the display, multiply length times width.

The actual size of the dinosaur is 90 feet.

What is a scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A model of a dinosaur is 3.75 feet,

and the scale-factor for the actual dinosaur is 1:24.

So,

the size of the actual dinosaur = model size x the scale-factor

The size of the actual dinosaur = 24 x 3.75

The size of the actual dinosaur = 90 feet.

Therefore, the actual size is 90 feet.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ6

This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.

ASAP BEFORE 11:59

Answers

2 kilometers per trip

Answer:

whats the question

Step-by-step explanation:

thats the answer

Can you guys help me!!!

Answers

Answer:

I guess its the 3rd one not sure


1. In the expression x2, 2 is what we call
A. Base
B. Exponent
C. Multiple ​

Answers

Answer:

hello! if you're talking about x², then 2 is what we call: B. Exponent.

2 would be the exponent. X would be the base.

Un reloj marca las 4:55 horas . Que valor tiene el ángulo que forman las manecillas? Escribe tu resultado considerando el ángulo positivo y el ángulo negativo.​

Answers

Answer: what does this say please help

Step-by-step explanation:

what is the y value when x=-1?

what is the y value when x=0?

what is the y value when x=-1?

Answers

Answer:

2

0

-2

Step-by-step explanation:

sub x into formula

-2(-1)=2

-2(0)=0

-2(1)=-2

Answer:

60

Step-by-step explanation:

A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.

What is the value of y when the value of x is 1?

The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P

Answers

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

plzz write with formula and explanation plzzzzzzzz

Answers

Given:

[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].

To find:

The unknown number.

Solution:

Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].

[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]

[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]

Multiply both sides by 16.

[tex]-33=-44x[/tex]

Divide both sides by -44.

[tex]\dfrac{-33}{-44}=x[/tex]

[tex]\dfrac{3}{4}=x[/tex]

Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].

Please help me to solve the 7th part !​

Answers

Answer:

i don't know

Step-by-step explanation:

sorry sorry sorry berry much


List the first five prime numbers ​

Answers

Answer:

2,3,5,7,11

Step-by-step explanation:

see above for the first five prime numbers

Answer:

2, 3, 5, 7, 11

hope this helps

have  a good day :)

Step-by-step explanation:

In triangle KLM, the measure of angle M is 90 degrees, the measure of angle K is 75 degrees, and LM is equal to 6.3 feet. Find the length of KL to the nearest tenth of a foot.

Answers

Answer:

6.5feet

Step-by-step explanation:

Using the SOH CAH TOA identity

<K = 75 degrees

opposite = LM = 6.3 feet

Hypotenuse = KL

sin theta = opp/hyp

sin 75 = 6.3/x

x = 6.3/sin75

x = 6.3/0.9659

x = 6.5feet

Hence the length of KL to the nearest tenth of a foot is 6.5feet

A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?

Answers

the answer is 6577.85 m^2

The area of the parking lot is 4606 square meter.

What is parallelogram?

It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.

What is the area of parallelogram?

The area of a parallelogram is the product of its base and height.

We have,

length of two adjacent sides are 70meters and 100meters.

And base of parallelogram is 70m.      (length of parallelogram is its base)

Angle between the adjacent sides is 70 degrees.

Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.

For the height of the parallelogram

In ΔADE, we have

[tex]sin70=\frac{DE}{AD}[/tex]           [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]

⇒ [tex]0.9397=\frac{h}{70}[/tex]

⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]

⇒ h=65.8m

Formula to find the area of parallelogram:

Area= base× height

so, the area of parking lot=base × height

substitute the value of base and height of the parallelogram in the above formula.

Therefore,

[tex]Area=65.8[/tex]×[tex]70[/tex]

[tex]Area=4606m^{2}[/tex]

Hence, the area of the parking lot is 4606 square meter.

Learn more about area of parallelogram here:

https://brainly.com/question/21576252

#Tag #SPJ2

Heidi is driving 200 miles. She has finished 80% of the drive. How many miles is 80% of Heidi's drive.

Answers

Answer:

160 miles

Step-by-step explanation:

200 * 0.8 is 160

Answer:

160 miles

Step-by-step explanation:

80/100*200

80*2

160

YOU CAN MARK ME AS BRAINIEST IF YOU WANT

HELP AND WILL GIVE BRAINLIEST!!! Solve for x

Answers

Triangles add to 180.

180 - 57 - 43 = 80.

Vertical angles are always equal, so they are both 80 degrees in this case.

Now we know the top triangle has 80 + 2x = 180

2x = 100

Therefore x is 50 degrees.

Answer:

let the opposite angle of 43=y

57°+43°+y=180°[by sum of all angle is 180°]

100+y=180°

y=180°-100

y=80°

opposite angle of x is equal to the 80°

so the equation will be like this

x+x+80°=180°

2x+80°=180°

2x=180°-80°

2x=100

x=100/2

x=50°

so the value of x is 50°

Si un terreno tiene 15 m de ancho y 40 m de largo y ademas al lado existen 5 terrenos identicos ¿cual es el area de todos los terrenos?​

Answers

no se boy a septimodkxkdkdkdkdkdoi

what is the standard form of (-2/3)x - 4

( slope intercept )

Answers

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

H
(3n - 15)°
(2n + 5)º
E
F
G
What is the value of n ?

Answers

I’m not good at math but I’ll help you the value of n is 20
Other Questions
(a) Let A be an nxn matrix, and let B and C be nxp matrices. What conditions on A, B and C guarantee that the cancellation law holds? (The cancellation law is that AB AC implies B = C.)(b) Give an example of matrices A, B and C for which the cancellation law does not hold. when considering the basic function of management, motivating is categorized as select one A Monte Carlo simulation model uses: A. random variables as inputs.B. a point estimate.C. the cost of capital.D. portfolio risk The following data come from the inventory records of Dodge Company:Net sales revenue$625,000Beginning inventory63,000Ending inventory42,000Net purchases420,000Based on these facts, the gross profit for Dodge Company is:A. $180,000.B. $174,000.C. $205,000.D. $184,000. Some questions on the gradient.(1) Suppose f (x, y) is the temperature (in C) of a flat sheet of metal at position (x, y) (in cm). Supposef (7, 2) = h2, 4iSuppose an ant walks on the pan. Its position (in cm) at time t (in s) is given by ~r (t). We have~r (6) = h7, 2iand~r 0 (6) = h3, 4iBy "the temperature of the ant," we mean the temperature at the position of the ant.(a) What are the units of f?(b) How would you interpret ~r 0 (6) = h3, 4i within this problem? Answer using a sentence aboutthe ant. Include units in your answer.(c) What is the instantaneous rate of change of the temperature of the ant per second of time, attime t = 6 s? Include units in your answer.(d) What is the instantaneous rate of change of the temperature of the ant per centimeter the anttravels, at time t = 6 s? Include units in your answer.(e) Standing at the point (7, 2), in which direction should the the ant walk so its instantaneousrate of change of temperature will be as rapid as possible? Give your answer as a unit vector.(f) If the ant at (7, 2) walks in the direction given by (e), what will be the instantaneous rate atwhich the ant warms up per cm travelled at that moment? Include units in your answer.(g) If the ant at (7, 2) walks in the direction given by (e) at a rate of 3 cm/s, what will be theinstantaneous rate at which the ant warms up per second at that moment? Include units in For the following reaction:N2+3H22NH3What is the change in free energy inkJmol? The relevant standard free energies of formation are:Gf,N2=0kJmolGf,H2=0kJmolGf,NH3=-16.3kJmolYour answer should include three significant figures. South Africa. Your discussion must focus on curriculum development, Assume you are given a functional implementation of a tree ADT. Select correct, error-free implementations of a deep tree copy function:Group of answer choicesdef copy_tree(t): return tree(root(t), branches(t))def copy_tree(t):return tree(root(t), [b for b in branches(t)])def copy_tree(t):return tree(root(t), [copy_tree(b) for b in branches(t)])def copy_tree(t):return tree(root(copy_tree(t)), [copy_tree(b) for b in branches(t)]) Calculate the density (in g/L) of Xe at 61 C and 588 mmHg. (R=0.08206 L'atm/mol.K) 3.71 g/L 13.1 g/L 2.82x103 g/L 2.82x10-2 g/L 20.3 g/L calculate the root-mean-square speed of the air pollutant gas so2 at 25 degreees celsius Write the vector in the form ai + bj. Round a and b to 3 decimal places if necessary. 8) Direction angle 17% magnitude 4 8) A) 1.169i-3.825j B)1.1691 + 3.825j C)3.825i + 1.16oj D)-3825 ? + 1.1 69j 9) Direction angle 115 magnitude 8 9) A) 7.25i+3.381j B) 7.25i-3.381j C) 3381 ? + 729 D) -3.38li + 7.25j In the Basic New Keynesian model, when there is a liquidity trap, if the central bank promises higher inflation in the future, then output rises and inflation falls. output falls and inflation rises. output falls and inflation falls. output and inflation stay the same. output rises and inflation rises. Suppose 1-year T-bills currently yield 7.00% and the future inflation rate is expected to be constant at 3.20% per year. What is the real risk-free rate of return, r* Which solid figure has the following net?A square pyramidB coneC triangular pyramidD triangular prism Essential question : where people need to belong do we feel like outsiders at some point in our lives ? Is being an outsider always a negative experience ? Can being an outsider offer any advantages ? A merry-go-round speeds up from rest to 4.0 rad/s in 4.0 s. a. How far does a rider who's 1.5 m from the center travel in that time? Show your work and give units. b. What's her centripetal acceleration at 2.0 s? Show your work and give units. c. What's her tangential acceleration at 2.0 s? Show your work and give units. a) based off of the principles of intermolecular forces, which liquid has higher vapor pressure?a) water b) methanol c) ethyl etherb) Based off of the principles of intermolecular forces, which liquid has the lowest vapor pressure?a) water b) ethanol c) ethyl ether Which sentence includes a transition that signals a basic, fundamental idea? Clojure member function questionThe given scheme is : (define (member atm lizt)(cond ((null? lizt) #f)((eq? atm (car lizt)) #t)(else (member atm (cdr lizt))) )Can you translate that to Clojure member that is recursive? how many different states are possible for an electron whose principal quantum number is n = 4? write down the quantum numbers for each state.