The area of a bedroom door is 24 square feet. The perimeter is 22 feet. What are the dimensions of the door?​

Answers

Answer 1

Answer:

8,3

Step-by-step explanation:

The Bedroom is in the Shape of Rectangle

Area of Rectangle = LW

Perimeter of Rectangle = 2(L+W)

Since the Area = 24

Then LW=24                                   --->1

Since the Perimeter = 22

Then 2(L+W)=22, Then L+W=11        --->2

Substitute by L=11-W from Equation 2 into Equation 1

(11-W)*W=24

[tex]11W-W^{2} =24[/tex]

[tex]W^{2} -11W+24=0[/tex]

(W-3)(W-8)=0

W=3  or W=8

Substitute in Equation 1 to Find L

at W=3 , L=24/3=8

at W=8 , L=24/8=3

so the Dimension of the Door is 8 and 3 feet


Related Questions

Which idea below is a rebuttal to the counterclaim?

Dogs should not be underestimated, so the clicker method might work.
Dogs have poor hearing, so the clicker method does not always work.
Dogs have amazing hearing, so the clicker method should work.
Dogs have amazing hearing and eating many treats won’t harm them.

Answers

the answer is c

Step-by-step explanation:

i took the test today


please help!!!!!!!!!!!!!!!!!

Answers

2 not given 3 given 4given 5 not given

Multiply (√a -2) (√a+2)

Answers

[tex](\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4[/tex]

Hope that helps!

I need help I am confused

Answers

The answer is C.)

1/3 = 0.3333… (the decimal 3 repeats forever)

.3 = 0.30

3% = 0.03

Therefore, in order of greatest to least, the numbers go from 3, 1/3, .3, 3%. The correct answer must be C.

Hope this was helpful and accurate! If you have any additional questions, feel free to ask.

Answer:

C. 3, 1/3, .3, 3%

Step-by-step explanation:

3 is a whole number that makes it the greatest

1/3 in a decimal form is 0.33 repeating

.3 is .30 which is smaller than previous.

3% converted in decimal form is 0.03 which is the smallest

PLEASE HELPPP x^2+17x+16=0

Answers

Answer:

x=-1 x=-16

Step-by-step explanation:

X1=-16 AND X2=-1 :))))

Pls, I need help. I have the screenshot right there.

Answers

To find the area of a parallelogram, you use the same formula as you do for a rectangle! Length x Width
Which makes the equation: 12x12=144
Answer: 144 meters^2
Please give Brainliest!

Solve the following proportion for u. u/10 = 3/17 Round your answer to the nearest tenth.​

Answers

Step-by-step explanation:

To solve for u, remove the fraction.

Multiply each side by 10 to remove the fraction;

[tex]u = \frac{30}{17} = 1 \frac{13}{17} = 0.8[/tex]

Find the 66th term of the arithmetic sequence

-28,-45,-62,...

Please help me thank you!!

Answers

Answer:

-79 is the ansekendndjdisosj

the picture shows a transparent piece of paper with a design drawn on it. The paper is then folded twice, as shown. what will be seen on the folded paper?

Answers

Folding the paper is an illustration of rotation

Two right triangles and one square would be seen on the diagram, when folded

How to determine the output of folding the paper

From the figure, we have the following highlights

The paper is a squareThe paper is transparentThe designs on the paper are on either sides

This means that when the paper is folded as shown, the designs would fall on each other, and the shapes would fit in perfectly.

Hence, two right triangles and one square would be seen on the diagram, when folded

Read more about rotation at:

https://brainly.com/question/4289712

ABC  DEF. Find the length of median CP. please help me out!

Answers

Answer:

[tex]CP = 24[/tex]

Step-by-step explanation:

The measured sides are 24 and 32 units long. It means that the larger triangle is [tex]\frac{32}{24} =\frac 43[/tex] times bigger than the smaller one. In particular, all linear measures are scaled of the same ratio: for medians we can write

[tex]FQ= \frac 43 CP \rightarrow 3FQ=4CP[/tex]

At this point we replace both segments with their lengths and solve for x. Once we find x, we can determine the length of CP.

[tex]3(2x+8)=4(3x-12)\\6x+24=12x-48 \rightarrow 6x=72 \rightarrow x=13\\CP = 3(13)-12 =36-12=24[/tex]

The length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The ratio of the sides:

DE/AB = 32/24 = 4/3

Similarly, the ratio of the sides:

QF/CP = 4/3

3QF = 4CP

3(2x + 8) = 4(3x - 12)

6x + 24 = 12x - 48

6x = 72

x = 12

CP = 3(12)—12 = 24 units

Thus, the length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2


How many grams in 3.2 tons

Answers

Answer:

2 902 991.17 grams in 3.2 tons

2902991.17 grams in 3.2 tons

how many lines can be constructed perpendicular to AB that pass through point D?
A. 0
B. 1
C. 2

Answers

Answer I believe is C. 2 but I could easily be wrong

don't spam answer only if you know What is the measure of angle x? Enter your answer in the box​

Answers

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Original price of an SUV: $34,400.00
Discount: 25%

Answers

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

What is the range for the possible side length AB of ABC?

Answers

Answer:

2 < AB < 18

Step-by-step explanation:

Answer:

The range is from [tex]18[/tex] to [tex]2[/tex] (greatest to least)

[tex]2 < x < 18[/tex]

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of the third side AB of triangle ABC

Applying the triangle inequality theorem

case A)

[tex]8+10 > x[/tex]

[tex]18 > x[/tex]

Rewrite

[tex]x < 18[/tex]

case B)  

[tex]8+x > 10[/tex]

[tex]x > 10-8[/tex]

[tex]x > 2[/tex]

The solution for the range of possible side lengths of the third side is the interval

[tex](2,18)[/tex]

so

[tex]2 < x < 18[/tex]

All real numbers greater than [tex]2[/tex] and less than [tex]18[/tex]

The number [tex]2[/tex] and the number [tex]18[/tex] are not included in the solution

A field is divided into three senion A, B and C ratio 2:3:5. If section A covers an area 3.5 acres. Calculate the area of field

Answers

Answer:

17.5 acres

Step-by-step explanation:

Let the areas of A, B, and C be 2x, 3x, and 5x, respectively,

then 2x = 3.5 acrea, x = 3.5/2 acres

Total area is 2x + 3x + 5x = 10x = 10 * 3.5/2 = 17.5 acres

PLEASE SHOW YOUR WORK TY!
GIVING BRAINLIEST!!!

Answers

Answer:

Lori reportedly paid her mother a third of the $39. Now let's see what 1/3 of $39 is.

$13 = 39/1 x 1/3 So she paid $13, but she still owes $23 of the original $39.

So, we need to figure out what 2/3 is, and here's how: 39 - 13 = $26. She owes her mother $26.

As a result, it now indicates that she paid 1/4 of the outstanding debt. Let's see what 1/4 of $26 equals.

6.50 = 26/1 x 1/4 She repaid $6.50 of the $26 she had borrowed. And she still owes 3/4 of what she owes. Let's find out what 3/4 means now. So, remove $6.50 from $26, as follows: 26 - 6.50= $19.50.

Step-by-step explanation: See above.

Hope this helps.

Answer:

7.08

Step-by-step explanation:

39 divide by 1/3 =117

117 divide by 1/4= 708

and u get 7.08

What is the value of 5a when a=7 ?

Answers

Answer:

35

...

....

....

....

...

.

.

it’s 35. when you have a letter right next to a number it means multiply. so this is asking 5x7

Can someone help me with this

Answers

Answer:

Some right angles

Step-by-step explanation:

In triangle ABC, m∠B=a, Find the measure of the angle, in degrees, between the altitudes dropped from the vertices A and C. WILL GIVE BRAINLIEST

Answers

The value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex].

How to determine an angle between two heights inside a triangle

In this question we must apply definitions and theorems of Euclidean geometry to derive the value of all required angles.

Based on geometry we know that heights are perpendicular to sides opposite to an angle, sum of internal triangles equals 180°, sum of supplementary angles equals 180°.

If we know that [tex]m\angle B = \alpha[/tex], then the value of the angles between the altitudes dropped from the vertices A and C equals [tex]180^{\circ} - \alpha[/tex]. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512

A line passes through the points (20, 15) and (19, 14) What is its equation in slope-intercept form?

Answers

Answer: y = x - 5

Step-by-step explanation:

Slope intercept form is y = mx + b

to find the slope: y2-y1/x2-x1: 15-14/20-19 = 1/1 = 1

so we can write it as y = x + b, (since the slope is 1).

To find b, plug in either point given to the formula:

15 = 20 + b

b = 15 - 20

b = -5

so the completed equation is y = x - 5

Answer:

y = x-5

Step-by-step explanation:

The form of slope intercept is y=mx+b]

To solve :

First you need to find the slope

To find the slope, you the slope equation, which is y2-y1/x2-x1

Since first you put y2-y1 at the top, it would be 14-15 and then 19-20 at the bottom since x2-x1 is put at the bottom.

Your slope equation should be : m=14-15/19-20, which should give you m=-1/-1 with m being 1.

Then you plug in the value in the slope intercept equation

To help us find the y intercepts, lets choose one our points.  In this case, we will be using (20,15) since it is the first point.

Slope intercept form is y=mx+b.

we do 15= 1 x 20 +b

15=20+b, gives you b=-5

How you got b=-5:

1)Put the equation into this by switching sides :

1 (20)+b=15

2) Get rid of the parenthases :

1 x 20 + b=15

3) multiply :

1 x 20=20, so

20+b=15

4) On both sides, subtract 20

so it would be

20+b-20=15-20, which gives you b=-5

solve for x each triangle is similar

Answers

Step-by-step explanation:

m ( < Q ) = m ( < L )... alternative angles

m ( < R ) = m ( < M )... alternative angles

m ( < RPQ ) = m ( < LPM )... vertically opposite angles ķ

Change 39 square yard to feet

Answers

Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

Check whether the given ratios are equal
5:7 and 35:49

Answers

Step-by-step explanation:

1st ratio=

5:7

[tex] \frac{5}{7} [/tex]

2nd ratio =

35:49

[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

5:7 = 35:495/7 = 35/49

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

35/49 ⇒ 7 x 5/7 x 7 ⇒ 5/7

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)

Could anyone help me / giving crowns away

Answers

https://brainly.com/question/2952247

I messed up, so here's the answer.

Please look at the picture and answer it. Thank you.

Answers

Answer:

63

Step-by-step explanation:

27+90=117

180-117=63

x = 10

Work shown in image! Hope this is helpful & accurate:)

I NEED HELP WITH QUESTIONS 10 - 12

Answers

Step-by-step explanation:

10. [-19-(-20) - (-34)] ÷ (-6)

= (-19+20+34) ÷ (-6)

= 35 ÷ (-6)

= -5.83

12. [-18 - (-66) -22] × 2

= [-18+66-22] × 2

= 26 × 2

= 52

Answer:

10. -35/6

12. 52

Step-by-step explanation:

A notation like - (-6) can be written as +6 ("two times minus is plus").

So your question 10. becomes:

(-19 + 20 + 34) / -6, which is more pleasant to the eye.

Further simplifying gives you 35 / -6 which you should write as -35/6.

The next question, same principle:

(-18 + 66 - 22) * 2 = 26 * 2 = 52

simplify (2x+4÷3) ×6x÷x+2​

Answers

Answer:

12x+10

Step-by-step explanation:

pls mark brainliest

5. How can you use the Distributive Propery
factor the expression 6x + 15?

Answers

Answer:

3(2x+5)

Step-by-step explanation:

Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.

this can be the expression 3(2x+8)

Need help with geometry

Answers

Answer:

12

Step-by-step explanation:

this is answer of q.n.8

__________________

3x+5+4x+7+6x+12=180°[being sum of angle of triangle is 180°]

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

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