The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?

Answers

Answer 1

The area of the rectangle is 44 square inches larger than the area of the square.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

Learn more about the Area of the rectangle here:

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Related Questions

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)

Answers

Answer:

(x-3)(x-5)

Step-by-step explanation:

Answer:

x = 3 or x= 5

Step-by-step explanation:

Δ = (-8)² - 4×15

   = 64- 60

   =4

and 4≥0

so x = (8 - √4 )÷2 = 3

or  x= (8 + √4 )÷2 = 5

so P(x) = (x-3) (x-5)

If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]

Answers

5x^5/6

Step-by-step explanation:

!Plsss help mee!! I will give u BRAINLYEST!!

What radius length would
make a circle with an
area of 78.5 in.2?

A. R=3 in
B. R=5in
C. R=10in
D. R=25in

Answers

Answer:

r≈5

the answer is b

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!

Answers

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

please help me it's in like 10 minutes..................

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!

Answers

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.

a. How many copies will bill have to purchase if he is to have enough resumes?

b. how much will the copies cost bill, including the 6% sales tax?​

Answers

A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60

Can anyone help me please?

Answers

Answer:

area= 50.2654825

dssssss

Answer:

48 if pi is equal to 3

50.48 if pi is equal to 3.14

Step-by-step explanation:

What polygon is formed by
joining the points
(1, -1), (4, -1), (-1, -3),
and (7, -3)?

Answers

Answer:

Its a trapezoid

Step-by-step explanation:

Also you don't have to ask this on brainly

go to desmos its a free graphing calculator

Please mark me brainliest I'm doing a challenge  

A ​$310 suit is marked down by 20​%. Find the sale price.

Answers

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step

Answers

if mary beth jumps 42 times per minute you need to figure out how many minutes in 2 hours (120 minutes). 42x120=5,040

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Simplified to create an equivalent expression

(2+2w)•4+9(w+3)=

Answers

Answer:

17 w  +  35

Step-by-step explanation:

You get this answer by using PEMDAS.

help me again pleaseee

Answers

Answer:

a). x = 10.20 in

b). x = 2.24

Step-by-step explanation:

a). By applying Pythagoras theorem in the given right angle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

    (15)² = x² + (11)²

     225 = x² + 121

     x² = 225 - 121

     x² = 104

     x = √104

     x = 10.198 ≈ 10.20 in

b). By applying Pythagoras theorem,

    (3x)² = (2x)² + (5)²

     9x² = 4x² + 25

     9x² - 4x² = 25

     5x² = 25

      x² = 5

    x = √5 = 2.24

5/7 + 2/3

Plz Answer

Answers

Answer:

29/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

Answer:

1.38 or  1 and 1/7

Step-by-step explanation:

5/7 + 2/3

10/21 + 14/21= 24/21

then your have to divide 24 by 21 = 1 and 3/21

then simplify 1 1/7

does this help?

If the distance from the center of a Ferris wheel to one of the seats is approximately 90 feet what is the distance traveled by a seated person, to the nearest foot, in four revolutions r=90 feet

Answers

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

How do you calculate the distance?

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

To know more about the distance, follow the link given below.

https://brainly.com/question/1214027.

Which of the following is the equation of the line shown graphed below?

Answers

Answer:

Is the 4

Step-by-step explanation:

The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2​, what are the measures of the base and the​ height?

Answers

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrolled, how many students are enrolled at Wellington Middle?

Answers

1039 + 158 = 1197 students

Please help with this math qs!!

Answers

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Given:

Diameter of circle = 6 m

The value of pi = 3.14

To be calculated:

Calculate the circumference and area of given triangle.

Formula applied:

Circumference of circle = 2πr

Area of circle = πr²

Solution:

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

Which calculation will ALWAYS give a result greater than 1? 89 × a number less than 1 7 × a number less than 1 125 − a fraction less than 25 37 + a fraction less than 12

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer please.............

Answers

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4        

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{7}{7}[/tex]

x = 1

Hence,

Option D: 1 is the correct answer.

If the Volume of a box is 250 feet3 and the height is 5 feet and the length is 5
feet, what is the measurement of the width?

Answers

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7

A. 2/5

B. 5/2

C. 5/5

D. 4/4

Answers

C hope this works well

what is the measure of the central angle that represents blue backpacks?

Answers

Answer:

Yes it is 10

Step-by-step explanation:

Domain and Range NAME: MR. Q State the domain and range for each graph and then tell if the graph is a function (write yes or no). 1) Domain 2) Domain 3Doman Range Range Range Function? Function? Function?​

Answers

Answer:

1) Domain = -3 ≤ x ≤ 2

Range = -4 ≤ y ≤ 5

Function? No

Step-by-step explanation:

From the given graph, we have;

The domain of the dot plot = -3 ≤ x ≤ 2

The range of the dot plot = -4 ≤ y ≤ 5

From the given data plot, we have that a straight line joining the data points is in the form of an arrow head with one value of the input (independent) variable, 'x', giving two values of the output (dependent) variable, 'y', such as the input, x = 1, gives two output, y = -2, and y = 3

Therefore, the relation is not a function as one input value produces two output values.

Solve for x please!!!!!nowwww

Answers

Answer:

x = 37

Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.

Help needed. Will mark brainliest. Please help:c

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

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