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

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

Help me solve this problem please

Answers

Answer:

the answer is x= -3

y = -14

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

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

Answers

Answer:

C

Step-by-step explanation:

Hope this helps

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 ..................

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

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.

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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

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)

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

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


x/30 = 150/100

Answers

Answer: 45

Step-by-step explanation:

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:

-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

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

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:.................

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

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

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

Answers

Answer:

the answer is 5

Step-by-step explanation:

Please help! Will give brainliest!

Answers

Answer:

Step-by-step explanation:

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:

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:

-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)

(2a + 3)^2

– (2a – 3)^2

.​

Answers

Answer:

24a

Step-by-step explanation:

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:

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]          

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

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 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;)

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.

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