A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​

Answers

Answer 1

Answer:

w=6

l=14

Step-by-step explanation:

Area of rectangle = l*w

So:

[tex]w*(w+8)=84[/tex]

Then, just find w, and w+8.

[tex]w^2+8w=84\\w^2+8w-84=0\\(w-6)(w+14)=0\\w-6=0, w=6\\w+14=0, w=-14[/tex]

Length cannot be negative, so the width is 6.

Length = width + 8 = 6+8=14


Related Questions

Identify all of the transformation effects on the graph of the function f(x) = x when f(x) is replaced with -f(x + 4) - 6.
A)
shifted up 6 units
B)
shifted down 6 units
shifted left 4 units
D)
shifted right 4 units
E)
reflected over x-axis

Answers

Answer: B,C E put as brainliest

Step-by-step explanation:

Solve for x 6x + 7 = 19x = 28
Help and I will give brainiest use the photo to answer. Please provide step by step answer explanation

Answers

Answer:

I think X=6

Explanation:

If X was 6 that That would mean 6(6)+7=43 and 19(6)-28=86 Line 6x+7 is about half of line 19x-28 so that means that this right here would be the closest answer. 86/2=43 Hope that helps .

The value of x to satisfy the given case is 2.

What is mid point theorem?

The mid point theorem states that in a triangle the line segment joining the mid point of two sides is always parallel and equal to half of the length of the third side.

As per the given figure the data is as follows,

The line segment of length 6x + 7 is parallel to the side of a triangle of length 19x - 28 such that it divides other two sides equally.

Apply mid point theorem to obtain,

6x + 7 = 1/2(19x - 28)

=> 19x/2 - 6x = 14 - 7

=> 7x/2 = 7

=> x = 2

Hence, the value of x for the given triangle is 2.

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Help please (NO LINKS ASAP AND NO RANDOM THINGS)

Answers

Answer: the answer is 13

Step-by-step explanation:

answer is b. you’d need to add 13

Write the linear equation that gives the rule for this table.

Answers

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

I need help on dis one

Answers

Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

The Unit Circle

For the given central angle, determine the distance traveled along the unit from the point (1. 0)
210°

a. 3.67 units
b. 1.17 units clockwise
c. 1.83 units
d. 7.33 units

Please select the best answer from the choices provided

Answers

Answer:

A. 3.67 units

Step-by-step explanation:

I calculated it logically

A right-angled triangle, with two sides adjacent to the right angle labeled 7 and 11 respectively, and the hypotenuse is labeled x.
Find the exact value of $x$ .

Answers

Answer:

170

c=a^2+b^2=7^2+11^2≈13.0384 or 170

Step-by-step explanation:

mrk me brainliest please


13. Car Depot rents a car for an initial fee of $20
plus an additional $0.10 per mile. Model the
total cost of the rental car C as a function of the
number of miles driven m.
a
a. C(m) = .10(20m)
b. C(m) = m(20+.10)
C. C(m) = 20m +.10
d. C(m) = .10m + 20
2

Answers

Answer:

d. C(m) = .10m + 20

Step-by-step explanation:

Given the following data;

Initial rent fee = $20

Cost per mile = $0.10

To find the total cost;

The total cost is simply the sum of the initial rent fee and the cost per mile of the car.

Mathematically, the total cost is given by the expression;

T = I + cm

Substituting into the above formula, we have;

T = $20 + 0.10m

In parallelogram ABCDwith diagonals AC and BD, which of the following is true?

Answers

Answer:

Last one at the bottom

Step-by-step explanation:

Because all of those diagonals are equal to each other. So that would mean those diagonals are equal in legnth.

BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Remember that the parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

The diagonals of the parallelogram are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.

LEarn more about the parallelogram here;

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Numerical expressions for add 12 to 8 then multiply by 5

Answers

Answer:

(12 + 8) x 5

Step-by-step explanation:

Consider the following question: How many years has each person played on the soccer team? Which best describes the question? It is a statistical question because the data may vary for each player. It is a statistical question because the data will all be the same. It is not a statistical question because the answers are all whole numbers. It is not a statistical question because there is only one answer per person.​

Answers

Answer:

Its the first one

Step-by-step explanation:

It is a statistical question because the data may vary for each player. :)

If g(x)= -(3/(4x)) , find g(g(x)) please show work.

Answers

Answer:

[tex] g(g(x)) = x [/tex]

Step-by-step explanation:

[tex] g(x) = -\dfrac{3}{4x} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4g(x)} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4(-\frac{3}{4x})} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4} \div (-\frac{3}{4x}) [/tex]

[tex] g(g(x)) = -\dfrac{3}{4} \times (-\frac{4x}{3}) [/tex]

[tex] g(g(x)) = \dfrac{3 \times 4x}{4 \times 3} [/tex]

[tex] g(g(x)) = x [/tex]

copy and paste his work ^

There were 104 females and 78 males present at the high school pep rally. Find the ratio of males to the total number of people present in simplified form

Answers

simplified is 3:7

yeah that’s they answer i got

iihhhhhhhhhhhhhhhhhhhhiiiiiiiiiiii

Answers

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

HELP IF RIGHT I WILL MARK BRAINLIEST!!!! TRUST

Answers

Answer:

I came up with 412cm^2

Step-by-step explanation:

10*12+(12*2)2+(10*2)2+6*8+(8*3)2+(6*3)2+(12*10-6*8)

A person invests 1000 dollars in a bank. The bank pays 4% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 1600 dollars
A=P(1+)
"
Sant Pere

Answers

Answer:

The person must leave the money for 11.8 years until the investment reaches 1600 dollars.

Step-by-step explanation:

Given that a person invests 1000 dollars in a bank, and the bank pays 4% interest compounded quarterly, to determine to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 1600 dollars the following calculation must be done:

1000 x (1 + 0.04 / 4) ^ Xx4 = 1600

1000 x 1.01 ^ 4X = 1600

1010 ^ 4X = 1600

X = 11.8

Therefore, the person must leave the money for 11.8 years until the investment reaches 1600 dollars.

Find the volume of the cube below.

Answers

The answer would be 42.875

Answer :

3.5 × 3.5 × 3.5 = 42.875

You are walking 1 mile home from school. When you are halfway home, you realize that you forgot a book in your locker and have to go back and get it. Once you finally get home, how far have you walked?

Answers

Answer:

2 miles

Step-by-step explanation:

2 miles :)

5 + 14 x y = 9 x y - 5

Answers

Answer:

xy = -2

Step-by-step explanation:

To solve:

5 + 14xy = 9xy - 5

=> First subtract 9xy from each side of "="

5 + 5xy = -5

=> Now, subtract 5 from each side:

5xy = -10

=> Finally divide 5 on each side:

xy = -10/5

xy = -2

Hope this helps!

Convert the polar representation of this complex number into its rectangular
form:
z = 4(cos pi/2 + i sin pi/2)

Please help!!! I will mark brainliest!!! Thank you!!!

Answers

Answer: (0,4)

Step-by-step explanation:

The complex number z = 4 into its rectangular form

What is complex number?

Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfying the equation i² = 1.

Given

* Lets revise the complex numbers

- If z = r(cos Ф ± i sin Ф), where r cos Ф is the real part and i r sin Ф is the imaginary part in the polar form

- The value of i = √(-1) ⇒ imaginary number

- Then z = a + bi , where a is the real part and bi is the imaginary part

 in the rectangular form

∴ a = r cos Ф and b = r sin Ф

* Lets solve the problem

∵ z = r (cos Ф ± i sin Ф)

∵ z = 4 (cos π/2 + i sin π/2)

∴ The real part is 4 cos π/2

∴ The imaginary part is 4 sin π/2

- Lets find the values of cos π/2 and sin π/2

∵ The angle of measure π is on the positive part of x axis at the

 point (0 , 4)

∵ x = cos π/2 and y = sin π/2

∴ cos π/2 = 0

∴ sin π/2 = 1

∴ a = 4(0) = 0

∴ b = 4(1) = 4

∴ z = 0 + i (4)

* The complex number z = (0,4) into its rectangular form

To learn more about complex numbers refer to:

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Martina is on the swim team. Each week she swims a total of 8,000 meters. How many kilometers does she swim each week?
Be sure to include the correct unit in your answer

Answers

Answer:

She swims 8 kilometers a week 8KM

Step-by-step explanation:

(2.8•10^8)(1.9•10^4)

Answers

Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Your answer is correct because a triangular prism has three faces on the top sides and a face on the bottom of the prism. The vortex is the corner edges which equal to 4. I hope that helps. Have a great day!

in a certain lake 30% of the fish are thrown back because they are too small. Consider catching 20 fish from the lake. Assume that the fish you caught can be considered a random sample from the very large number of fish in the lake. does this represent a binomial setting

Answers

Answer:

Binomial probability distribution concept & application, example

Step-by-step explanation:

Yes, this represents a binomial setting. As, it is used for finding probability of - particular number of success outcomes , from repetitive or multiple events.

Here

Success {Event P} ie small fish, with prob = 30% = 0.3 .Failure {Event Q} ie large fish, with prob = 70% = 0.7Number of trials = 20.  Let r be number of small fishes out of 20 fishes.

Binomial probability = N c r . (P)^r . (Q)^ (n-r)

Ex :  P( 5 small fish out of 20) = 20c5  (0.30)^5  (0.70)^15

Write 18/n
as a verbal expression.

Answers

Answer:

18 divided by a N value

Step-by-step explanation:

i need find volumen i need help ​

Answers

Answer:

it's 512

Step-by-step explanation:

Which of these numbers are greater than 3.2 x 10-3
2.1 x 10-3

4.2 x 10-4

5.2 x 10-2

5.2 x 10-1

NEED HELP ASAP TY

Answers

all of them look greater if u do the math

Haley is going on a vacation to Australia. Her flight leaves at 10:20 A.M. It takes 1 hour and
20 minutes to get to the airport, and Haley wants to be at the airport 55 minutes before her
flight leaves. What is the latest time that Haley can leave for the airport?
HELPPPPP FACTUAL ANSWERS

Answers

Answer:

8:05 am is the time she will have to leave her house to get to the airport on time.

Step-by-step explanation:

First, subtract 55 minutes from 10:20.

10:20 - 20 = 10:00

10:00 - 35 = 9:25

This is the time she wants to arrive. 9:25

Now, we have to subtract an hour and 20 minutes

9:25 - 1:00 = 8:25

8:25 - 20 = 8:05

Hope this helped and have a great day! :)

I need he answer pls {WIIL MARK BRAINLIST}

Answers

Answer:

B.  {2, 5, 6, 9}

Step-by-step explanation:

Mean: the sum of all numbers divided by the amount of numbers.

Median: The number between the two middle numbers

-------------------------------------------------------------------------------------------------

Mean: {2 + 5 + 6 + 9} = 22 ÷ 4 = 5.5.

Median: The median of this data set will be 5.5 because it is in between 5 and 6    

PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?

Use the on-screen keyboard to type the answer in the box below.

https://imgur.com/a/UwbnsCV

Answers

Answer:

  1/2,

Step-by-step explanation: Please find the attached image of unit circle.

We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.

We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.

We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .  

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