The area of a rectangular door is 21 ft. Sq. The border around the door is 20 feet. What is the length and width of the door? Use the factors of 21 to help you find the area of the door first.

Answers

Answer 1

Answer:

Length = 7 feet, and width is 3 feet.

Step-by-step explanation:

For the given rectangular door,

area = length x width

21 = length x width ................. 1

Also,

perimeter = 2 ( length + width)

20 = 2 ( length + width)

10 = length + width ............ 1

Given that the factors of 21 are required to get the are of the door.

Then, from equation 1;

21 = 7 x 3

And from equation 2;

10 = 7 + 3

So that, the length of the door is 7 feet and its width is 3 feet.


Related Questions

someone help plz plz plz plz

Answers

Answer:

slope is -55 balance decreases by $55 each month

Step-by-step explanation:

solve for slope using slope formula:

(620-895)/(6-1) = -275/5 = -55

decreases by $55 since that's the slope

hi! i know someone has already answered but i solved this on paper, i got the same answer! the slope should be -55 and the balance goes down 55 per month since the slope of the line is negative!

hope this helps and sorry if i was too late!

what value of r gives the line passing through (3,2) and (r,-4) A SLOPE OF 3/2

Answers

Answer:

(-6,-4)

Step-by-step explanation:

to get to -4 from 2 you have to subtract 6, making the slope x/6 but you said the slope is 3/2. divide 6 by 2 and you get 3. 3x3=9 making the slope 9/6. simplify and you get 3/2

Matt is running for student council. His friends are going to help him give out 15 posters and 6 banners. Matt plans to pack all of the posters and banners in boxes. He wants to put the same number of posters and the same number of banners in each box. What is the greatest number of boxes Matt can pack?

Answers

Answer:

6 Boxes

Step-by-step explanation:

6 Boxes

1 Poster and 1 Banner in each box

Warm-Up: Solve each equation for x.
1. x + 5 = 15

Answers

X+5=15
-5 -5
X=10
Hope this helps!!

Answer:

x = 10

Step-by-step explanation:

x + 5 = 15

x = 15 - 5

x = 10

Thus, x = 10

-TheUnknownScientist

please answer seriously thanks !! will give brainliest

Answers

Answer:

Step-by-step explanation:

21) CD -  chord   (segment)

22)FG - line

23) EC  - segment -  diameter

24) AB - segment - radius

25) H - Point

26) A - Point

(2a + 3)^2

– (2a – 3)^2

.​

Answers

Answer:

24a

Step-by-step explanation:

Yamila had an average score of 4 strokes on the first 6 holes of a mini-golf course. On the 7th hole, she scored 11 strokes. What was her mean score for the first 7 holes?

Answers

her mean score for the first 7 holes is around 2 because 4+11=15 and 15 divided by 7 equals a little over 2

Find the slope of each line from the graph.

Answers

Answer:

a. 1/2

b. 5/3

c. 0

d. undefined

Step-by-step explanation:

Two functions are shown below. f(x) = 6x + 3 g(x) = 3x - 2 What is the product of f(3) and g(- 4) B. 210 -210 294

Answers

Answer:

f(3)=21

g(-4)=-14

Step-by-step explanation:

Hope this helps

can somone please help me with this, I will give brainliest.
Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d.

What is the unit rate of change of d with respect to t? (that is, a change of 1 unit in t will correspond to a change of how many units in d?)

The unit rate of change is blank.

Graph the relationship.​

Answers

Answer:

3/8 I believe.

Step-by-step explanation:

need to pass whats 1+3-4+24-23=

Answers

Answer:

the answer is 5

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

the answer is x= -3

y = -14

what does congruent mean in geomatry?

Answers

Answer:

Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal. Comment on David Severin's post “Congruent means same shape and same size.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Your Welcome;)

Jeff drove 5,784.5 miles in 12 days . To the nearest mile , what was the rate of miles Jeff drive each day

Answers

Answer:

500mph

Step-by-step explanation:

5784.4 miles --> estimates to 6000 miles

6000/12=500

500mph

Find the sine of J. Write your answer in rationalized form

Answers

Answer:

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Step-by-step explanation:

As we know that

sinФ = opposite ÷ hypotenuse

Given the triangle with

Ф = JThe opposite of j is [tex]4\sqrt{5}[/tex]

The length of the hypotenuse of a right triangle can be calculated as:

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

[tex]c=\sqrt{\left(3\sqrt{2}\right)^2+\left(4\sqrt{5}\right)^2}[/tex]

[tex]c=\sqrt{3^2\cdot \:2+4^2\cdot \:5}[/tex]

[tex]c=\sqrt{18+80}[/tex]

[tex]c=\sqrt{98}[/tex]

[tex]c=\sqrt{7^2\cdot \:2}[/tex]

[tex]c=\sqrt{2}\sqrt{7^2}[/tex]

[tex]c=7\sqrt{2}[/tex]

so

sinФ = opposite ÷ hypotenuse

substituting the values Ф = J, opposite = [tex]\sqrt{5}[/tex], hypotenuse = [tex]c=7\sqrt{2}[/tex]

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Therefore,

[tex]sin\:(J)\:=\:\frac{4\sqrt{5}}{7\sqrt{2}}[/tex]          

Find the area of the figure

Answers

Answer:

45 I'm pretty sure. so it 45

Answer:

The figure is 5.5in^2.

Step-by-step explanation:

To find the area of the triangle portion, we will use the formula for area of a triangle, [tex]\frac{bh}{2}[/tex], where b = base and h = height.

So lets find our variables,

b = 3

h = 3

So we can plug that into our equation and find the area,

3 · 3 = 9 and 9 ÷ 2 = 4.5

So the area of the triangle is 4.5in^2

To find the area of the square portion, we will use the formula for the area of a square or rectangle, l · w, where l = length and w = width

So lets find our variables,

l = 1

w = 1

So 1 · 1 = 1in^2

To find the total area we will add the areas of the two components together,

4.5 + 1 = 5.5in^2

So the area of the total figure is 5.5in^2.

ASAP HELP ME!!!!!!!

1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.

Answers

Answer:

1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].

2. Increasing exponential growth functions will rise much quicker than increasing linear functions.

3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

Answer:

Linear functions are written in the form  whereas exponential functions are written in the form .

Step-by-step explanation:

Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?

Answers

Answer:

$482.50

Step-by-step explanation:

Base salary: $400

5% of 1,650 is 82.50

.05 x 1,650 = 82.50

Commission : $82.50

Equation: 400 + 82.50 = $482.50

List the first 4 terms of a geometric sequence with a first term of 2 and a common ratio of 5.
I have no clue even where to start. The question after that is the same, except the first term is 4 and the common ratio is 4.

Answers

Answer:

pohujnkmhugyfdtr

Step-by-step explanation:

The first 4 terms of the geometric sequence with a first term of 2 and a common ratio of 5 are 2, 10, 50, 250

using the geometric sequence formula,

aₙ = arⁿ⁻¹

where

a = first term = 2

r = common ratio  = 5

let find the remaining 3 terms

The 2nd term can be found below

a₂ = 2 × 5²⁻¹ = 2 × 5 = 10

The 3rd term can be found below

a₃ = 2 × 5³⁻¹ = 2 × 25 = 50

The 4th term can be found as follows

aₙ = 2 × 5⁴⁻¹ = 2 × 125 = 250

Therefore, the first 4 terms are 2, 10, 50, 250.

read more: https://brainly.com/question/19799925?referrer=searchResults

Please help! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

Classify the sequence {an) = {10,4,8/5,16/25,...} as arithmetic, geometric, or neither. If there is not enough information to classify the sequence, chose not enough information.
-
-
-
A. arithmetic
B. geometric
C. neither
D. not enough information

Answers

the answer is arithmetic

It is a geometric series.

The ratio of the second to first term is= [tex]\frac{4}{10}=\frac{2}{5}[/tex]

The ratio of the third to second term is= [tex]\frac{\left(\frac{8}{5}\right)}{4}=\frac{2}{5}[/tex]

The ratio of the fourth to third term is=[tex]\frac{\left(\frac{16}{25}\right)}{\left(\frac{8}{5}\right)}=\frac{2}{5}[/tex]

Since the common ratios are same so it is a geometric series.

Learn more: https://brainly.com/question/8806877

-x+5-5x=8 pls help and I’ll give brainlluest

Answers

Answer: x = -1/2

-x + 5 - 5x = 8

⇔ -6x + 5 = 8

⇔ -6x = 3

⇔ x = 3/(-6) = -1/2

Step-by-step explanation:

Answer:

option 4

x=-1/2

Step-by-step explanation:

-x +5-5x=8

-6x= 3

x= -1/2

PLEASE HELP ME!!!!!!!!!


x/30 = 150/100

Answers

Answer: 45

Step-by-step explanation:

There are 18 marbles in a box. Six of the marbles are red and four of the marbles are blue.
What is the probability that a randomly selected marble will not be blue or red?

Answers

Answer:

4/9 ..................

PLEASE HELP ME I NEED THE ANS IN 5 mins
A)it is not possible to tell whether a is greater than or less than zero
b) a is less than zero
c)a is greater than zero
d) a=-1

Answers

Answer:

A

Step-by-step explanation:.................

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Answers

Answer:

C

Step-by-step explanation:

Hope this helps

Find the domain and range of the following function f(x) = 31x + 71 - 2?
Domain. [-2.0) Range: (-0,00)
O Domain: (-2,0) Range: (-800,9)
Domain: (-0.00) Range: (-2,0)
Domain. (-0.00) Range: (-2,0)
I need help asap!

Answers

Answer: domain and range are all real numbers!

Step-by-step explanation:

i need to find the slope for these two lines if right you’ll get brainlist

Answers

Answer:

both negative 1 over two

Step-by-step explanation:

Answer:

-10/5 for green line aka -2x

and the parallel line would be the same -2x

the equations would be

y= =2x- 6

and the other would be

y= -2x-6

(this should be right)

-3y + 8x = 36
6x + y = -21

Answers

Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

26x+63=36(Simplify both sides of the equation)

26x+63+−63=36+−63(Add -63 to both sides)

26x=−27

26x

26

=

−27

26

(Divide both sides by 26)

Give an example of a time when you used estimation to solve a problem.

Answers

Answer:

I wanted to know how many stars are in the sky above my house I counted and made the estimate of 80

Other Questions
can u pls help me with this question Its the red one but tell me why plz now hurry 4 min left Read the excerpt from chapter 2 of The Awakening.He was spending his summer vacation, as he always did, with his mother at Grand Isle. In former times, before Robert could remember, the house had been a summer luxury of the Lebruns. Now, flanked by its dozen or more cottages, which were always filled with exclusive visitors from the Quartier Franais, it enabled Madame Lebrun to maintain the easy and comfortable existence which appeared to be her birthright.Which best explains why the author uses the word flanked to describe the layout of cottages in the novels setting?to help the reader visualize a house bordered by smaller cottagesto help the reader understand how the setting changed over timeto help the reader visualize the neighborhood of the Quartier Franaisto help the reader understand Roberts relationship with the setting Need answers ASAP 15 points! The elements from this section of the periodic table all belong to the sameA. Family B. Group C. Period D. Valence Plz help!! Margo was adopted when she was an infant. Her adoptive parents' intelligence test scores are in the average range, while her biological parents have test scores well above average. When Margo is 30, what can we predict about her performance on an intelligence test? 36 - 7 (8+6-9) what is the answer to this question Emplea el pronombre posesivo apropiado.28-29. Mi carro es nuevo y tu carro es viejo.30-31. Nuestros amigos pueden asistir pero los amigos de Jos no quieren asistir.I+32-33. Yo he recibido mi invitacin. Has recibido tu invitacin?3435. Tenemos nuestros regalos pero no tenemos los regalos de ustedes.CulturaCorrige las frases falsas.36. La mayora de las celebraciones o ritos que marcan los pasajes de la vidason de ndole civil.37. El bautizo es una ceremonia hebrea y el bat mitzvah es una ceremoniacristiana.38. La edad legal para contraer matrimonio es la misma en todos los paseshispanos. Using the dictionary definition, write one to two sentences explaining the meaning of papyrus as it is used in this sentence: These included government officials, doctors, and priests, as well as the scribes who did the actual writing on papyrus and stone.help please me 8. With the help of her fairy godmother (la hada madrina) Cenicienta went to the dance. (ir)9. She was beautiful. (ser)10. Cenicienta danced with the prince, but she left at midnight. (bailar/salir)11. When she was leaving, she lost her shoe. (salir/perder)12. The prince fell in love with her and looked for her in the kingdom. (enamorarse/buscar)13. Finally Cenicienta and the prince lived happily ever after. (vivir)MUS Did the emperor of the qin dynasty share with the other lords Find the slope of the line graphed below. What is the belief in and worship of only god? which expression is equivalent to 2cos2(x/2)-cos(x) simplify this expression: 11k - 3 + 4k + 8 can someone help me??? Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?a) Write a let statement below to define your variable(s): b) Set up an equation using the variable you defined in (a): c) Solve your equation & Check. How many fish does Ms. Montesinos have? JUST TYPE THE NUMBER. EXAMPLE: IF SHE HAS 17 FISH JUST TYPE "17" d) Upload a picture of your SOLUTION & CHECK. plz help me plzz pls pls pls helppp i missed the zoom lol^^ what was the focus of the U.S government after the civil war was over? Firefighters have been called to the scene of a warehouse fire. The battalion chief informs the crew that the warehouse is used to store cleaning fluids, which are highly flammable. What should the firefighters use to extinguish the fires with these types of fuels?Class A foamsoxygenwaterClass B foams If a small asteroid named B612 has a radius of only 20 m and mass of1 104 kg, what is the acceleration due to gravity on its surface?