the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door

Answers

Answer 1

Answer:

  width: 37.9 ft

  height: 39.7 ft

Step-by-step explanation:

Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...

  A = LW

  1504.6 = (x +0.9)(x -0.9) = x^2 -0.81

  1505.41 = x^2

  x = √1505.41 ≈ 38.7996

  width = x -0.9 = 38.8 -0.9 = 37.9

  height = 38.8 +0.9 = 39.7

The width of the door is approximately 37.9 ft; the height is about 39.7 ft.


Related Questions

Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.

please help! its my exam study guide and i need to finish it! ​

Answers

[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]

[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]

The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

Answers

The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.

The side lengths of EFGH are given as:

[tex]EF = 12\ cm[/tex]

[tex]FG = 6\ cm[/tex]

[tex]GH = 9\ cm[/tex]

[tex]EH = 9\ cm[/tex]

Length NO is also given as:

[tex]NO = 7.5\ cm[/tex]

Because both quadrilaterals are similar, then side NO corresponds to side FG.

The scale factor (k) from EFGH to MNOP is then calculated as:

[tex]k = \frac{NO}{FG}[/tex]

[tex]k = \frac{7.5}{6}[/tex]

[tex]k = 1.25[/tex]

The side lengths of MNOP are then calculated using:

[tex]MN = 12cm \times 1.25[/tex]

[tex]MN = 15\ cm[/tex]

[tex]OP = 9cm \times 1.25[/tex]

[tex]O P = 11. 25 cm[/tex]

Also,

[tex]MP = 11. 25 cm[/tex]

So, the true statement is (d)

Read more about dilations at:

https://brainly.com/question/3457976

help me plssssssssssssssssssssss

Answers

Answer:

p < 319

Step-by-step explanation:

what is the anser to 9 + 7

Answers

Th answer to this question is 16

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]9 \: + \: 7 \: = \boxed{16}[/tex]

USE CALCULATOR...

[tex]#CARRYONLEARNING[/tex]

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Jordan made this design from three pieces of square shaped cloth. What is the total area of design Jordan made? EXPLAIN how u found your answer

Answers

Applying the area of a square, the total area of the design is: 116 cm²

Area of Square

A square has equal side lengths, s, this, the area of a square is given as: A = s².

The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.

To find the total area of the design, find the area of each square shaped cloth and add all together.

Thus, applying the area of a square, the total area would be:

Total Area = 4² + 6² + 8²

Total Area = 116 cm²

Learn more about area of square on:

https://brainly.com/question/16758129

Find the product of 5 and 539.

Answers

Answer:

Step-by-step explanation:

5*539=2695

The product of 5 and 539 is 2695

What does it mean to find the product of numbers:

Finding the product of numbers simply means multiplying 2 or more numbers.

Therefore, the product of 5 and 539 can be done as follows:

5 × 539

Multiplication or product sign is denoted as ×.

Therefore,

5 × 539 = 2695

learn more on product: https://brainly.com/question/24867438?referrer=searchResults

Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than the third shelf?

Answers

Using a system of equations, it is found that since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

For the system, we consider that:

x is the number of books on the first shelf.y is the number of books on the second shelf.z is the number of books on the third shelf.

In total, there are 152 books, hence:

[tex]x + y + z = 152[/tex]

The first shelf has 7 fewer books than the second shelf, hence:

[tex]x = y - 7[/tex]

Also, it has 11 more books than the third shelf, hence:

[tex]x = z + 11[/tex]

Then:

[tex]y - 7 = z + 11[/tex]

[tex]z = y - 18[/tex]

Then, replacing in the first equation:

[tex]x + y + z = 152[/tex]

[tex]y - 7 + y + y - 18 = 152[/tex]

[tex]3y = 177[/tex]

[tex]y = \frac{177}{3}[/tex]

[tex]y = 59[/tex]

The number of books in each shelf has to be countable, that is, cannot be decimal.

Then, since the solution of the system does not involve decimal numbers, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at https://brainly.com/question/14183076

can somebody help solve 75 - 6x = 4x - 15

Answers

Answer:

x = 9

Step-by-step explanation:

75 - 6x = 4x - 15

We want to arrive at an answer that looks like

x = a number,

so we want x on the left side and numbers on the right side.

Remember that whichever operation we do to one side of the equation, we must do to both sides.

Since there is a 75 on the left side, and it is being added to -6x, subtract 75 from both sides.

75 - 75 - 6x = 4x - 15 - 75

Simplify both sides.

-6x = 4x - 90

Since there is a 4x on the right side, and it is being added to -90, subtract 4x from both sides.

-6x - 4x = 4x - 4x - 90

Simplify both sides.

-10x = -90

We want x, but x is being multiplied by -10, so we divide both sides by -10.

[tex] \dfrac{-10x}{-10} = \dfrac{-90}{-10} [/tex]

Simplify both sides.

x = 9

Which statement is true about the function f(x)= Vx?
O The domain of the graph is all real numbers.
O The range of the graph is all real numbers.
O The domain of the graph is all real numbers less than or equal to 0.
O The range of the graph is all real numbers greater than or equal to 0.

Answers

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

                                             

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

                                       

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Select the two pairs of figures that are similar

Answers

It is 3 and 2 good luck

Describe the location of the polnt having the following coordinates. abscissa and ordinate have the same sign
Quadrant II or Quadrant IV
Quadrant II or Quadrant III
Quadrant or Quadrant IV
Quadrant I or Quadrant III​

Answers

Answer:

i think its D

Step-by-step explanation:

hope this helps!

-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2

Answers

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.

Answers

Jody invested less in an account paying simple interest than she did in an account paying simple interest. At the end of the first year, the total interest from both accounts was Find the amount invested in each account.

It will take 29 years to reach $725 to $2000 compounded twice in a month.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded twice each month is,

A = P(1 +(r/24)/100)²⁴ⁿ.

Given, A = 2000, P = 725, r = 3.5.

∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.

(1 + (3.5/24)/100)²⁴ⁿ = 2.76.

(1.00146)²⁴ⁿ = 2.76.

24n = [tex]log_{1.00146}2.76[/tex].

24n = 695.87.

n = 29 years.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?

Answers

Answer:

Step-by-step explanation:

Answer:

  (17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

  35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

  35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

  (17.5√2 miles west, 17.5√2 miles north)

_____

Additional comment

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

  (-24.7, 24.7) miles

what is 35 divided by 97.3

Answers

Answer: 2.78

Step-by-step explanation:

long division

Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?

Answers

Answer:

39

Step-by-step explanation:

d = s - 15

d + s = 63

Replace d with s - 15

s - 15 + s = 63

2s -15 = 63

2s = 78

s = 39

The length of a rectangular garden is 3 feet more than 2 times the width. The perimeter of the garden is 48 feet. Find the length and width of the garden .

Answers

Answer:

  length 17 feet

  width 7 feet

Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

  P = 2(L +W)

  48 = 2((2w+3) +w) = 6w +6

  42 = 6w

  7 = w . . . . . . . . width

  (2w+3) = 17 . . . length

The length of the garden is 17 feet; its width is 7 feet.

Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?

Answers

Answer:

34 yards of ribbon

Step-by-step explanation:

If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer

Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?

Answers

Answer:

18mph

Step-by-step explanation:

We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.

[tex]\frac{88yd}{10sec} times \frac{3ft}{1yd} times\frac{1mi}{5280ft} times\frac{60sec}{1min} times\frac{60}{1hr}[/tex]

When you multiply all that you get 18 mph

Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)

Question 3 options:

1)

tablespoons

2)

tablespoon

3)

tablespoon

4)

tablespoon

Answers

Answer:

the answer 3/5 lets hop i ace it

Step-by-step explanation:

Does anyone know how to solve this?

Answers

I don’t now but good luck

Help help help math math math

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?

Cost of parking for 3 hours:
I
Cost of parking for t hours:

Answers

Answer :6

If it’s two dollars every hour and she leaves her car out in the parking lot for three hours if you go 2 x 3 =6 or you could go 2,4,6 so add 2 three times you get 6

Step-by-step explanation:

let's create the corresponding equation.

it is linear, because the cost per hour is constant, no matter how many hours the car parks.

t is the variable indicating the amount of hours parking.

every hour costs $2.

and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).

cost(t) = 2t + 8

so, the cost after 3 hours is

cost(3) = 2×3 + 8 = 6 + 8 = $14

PLEASE HELP ME please please

Answers

Answer:

if its before bed time I think it is A

Step-by-step explanation:

What is the answer to this?

Answers

Answer:

2x+1=9

Step-by-step explanation:

[tex]\sqrt{2x+1}+5=2[/tex]

[tex]\sqrt{2x+1}=-3[/tex]

[tex]2x+1=9[/tex]

If they want you to solve, then you can go farther.

2x=8

x=4

Check for extraneous solutions:

[tex]\sqrt{2(4)+1} +5 = 2[/tex]

Pls confirm if right. Thx!

Answers

Answer:

If I am thinking right ya

Step-by-step explanation:

Answer:

Step-by-step explanation:

no mate

your answers for consecutive interior angles are wrong, the answers for that

8 and 13     and    3and 10  should go into the alternate interior angles section

and 2 and 11  should go into the alternate exterior angles section

Solve 3-x/2<18.
A. X>-42
B. x > -30
C. X< -30
D. X<42

Answers

The solution of the given equation will be C -x< 30

What does it mean to solve an equation?

An equation represents the equality of two or more mathematical expressions.

A Solutions to an equation are those values of the variables, involved in that equation for which the equation is true.

We have been given the equation as 3-x/2<18.

Now solving for x

3-x/2<18.

Eliminate 3

-x/2 < 18 - 3

-x/2 < 15

Multiply by 2 on both sides;

-x/2 < 15 (2)

-x< 30

Therefore, the solution of the given equation will be C -x< 30

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ1

How do you dived a fraction with a number like for an a example:

4/10 divided 2 = ?

Please explain step by step to get marked as brainliest!

Answers

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

What positive acute angle is
Зл/4

related to?

Answers

Radians can be converted to degrees using the formula degrees = radians * (180/pi)

So,

degrees =

3pi/4 * (180/pi)

= 135 degrees

Answer:

[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]

2...

BINGO cards are $2 for 3 cards. How many BINGO cards can joy get for $12

Answers

she can get 9 cards

Answer:

18 cards

Step-by-step explanation:

Because..[tex]12 \div 2 = 6 \times 3 = 18[/tex]
Other Questions
what is mass of sodium hydroxide NaOH is present in 0.25 mole of sodium hydroxide pls be quick please help i will give 100 points HELLLLP BRAINSS !!! What is the best way to describe Douglass' tone in his Narrative of the Life of Frederick Douglass?A. Douglass remains calm, just presenting the facts of slavery; he shows no opinion one way or the other.B. He is angered by slavery, encouraging other slaves who read his book to rise against the institution, as well.C. He is straightforward; matter of fact, but angered by his treatmentD. Douglass isn't bothered by what slavery was, he is simply presenting his side of the story, stating clearly that it wasn't this way for all slaves. What geographic factor influenced the changing political borders in the Indus River Valley?developments in transportationdamages from natural disastersconflict over control of waterwaystechnological advancements in farming Q4An ice cube measures 2 cm by 2 cm by 2 cm. A)What is its volume? B) Is there enough room in a container measuring8 cm by 12 cm by 10 cm for 100 ice cubes? A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow? Name and summarize the four areas of imperial control. Ten year old Matt Zigbowski struggles at school. His teacher seats students alphabetically, so he is at the back of the classroom. He cannot see the words on the chalkboard from his desk. When he goes to the teacher's desk near the chalkboard, he can see the words. What is probably wrong with his eyes?a. hyperopiab. myopia c. astigmatism d. astigmatism and myopia e. astigmatism and hyperopia what is the correct terminology for the nerve block that provides anesthesia to the lower vagina a As a wave enters a more dense medium (i. E. , air to water), its velocity. 1985 x 99 I already know the answer: 196515 American midwestern companies and banks supported whom during the war What factors were common in 19th-century European revolutions? Choose three correct answers.the rise of nationalismthe expansion of national territorythe desire for national self-rulethe desire to unify territoriesinspiration from other revolutions Who was the star of the christmas movie jingle all the way? Compare the investment below to an investment of the same principal at the same rate compounded annually. principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually. After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.) Visit ikea.my and identify the services the company provides to its customers. HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.A.Translation B.Rotation about the origin C.Reflection over the x-axisD.Reflection over the y-axis HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot? Stem Leaf 1 3 7 7 2 2 4 4 4 5 3 1 5 8 9 4 0 6 7 Key: 2|1=21 Which word in this sentence is an adverb?I hardly know where to start. What is the slope-intercept equation of the line containing the points (5, 22) and (4, 49) ?