A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of
the room.

Answers

Answer 1

Answer:

The dimension of the room is 8m by 3m

Answer 2

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

What is the perimeter of a rectangle?

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

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Related Questions

Example object in kilometers

Answers

Answer:

what are you trying to ask?

Step-by-step explanation:

there's no picture or a question really

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! 100 POINTS

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

<1 and <7 , <2 and <8or<4 and <6 , <3 and <5

Step-by-step explanation:

There are totally four pairs of alternate angles:

Alternate interior angles:-

Pairs - <2 and <8 ; <3 and <5

Alternate exterior angles:-

Pairs - <1 and <7 ; <4 and <6

{You can choose any two pair}
This is not 100 points.... why are you lying

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.

Answers

Answer:

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

find the difference between the place value of: 6 in 6,15,265​

Answers

Answer:

6,15,265=lakh

6,15,265=tens

hope it helps.

Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter

Answers

Answer:

58.9

Step-by-step explanation:

y²=x²+z²-2×z cos(y)

20²=22²+18²-2(22)(18) cos (y)

400=484+324-792 cos(y)

-408=-772 cos (y)

408/792=cos y

y=cos⁻¹(408/792)=58.9

hope it helps...

have a great day!!

There are 25 students. Four of these students are selected to attend four different conferences. The first student selected will go to

a conference in Makati city, the second will go to Paranaque city, the third to Quezon city and the fourth to Caloocan city. How

many such selections are possible?

256

12,650

303,600

390,625

Answers

Answer:

the number of possible selection is 12650

Option b) 12650  is the correct answer.

Step-by-step explanation:

Given the data in the question;

total number of students n = 25

number of student selected r = 4

[tex]^nC_r[/tex] = ²⁵C₄

= 25! / ( 4!( 25 - 4 )! )

= 25! / (4!(21)!)

=  12650

Therefore, the number of possible selection is 12650

Option b) 12650  is the correct answer.

Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate

Answers

Answer:

overestimate = 7

underestimate = 5

Step-by-step explanation:

Table

_________________________________

Time (months)    0    1    2     3      4     5     6

Rate                   5   7     9    14    22    31    40

___________________________________

A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.

Overestimate

For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.

Just a month and that month has a value of  7

= 1* 7 (The largest value) = 7

Underestimate

This would be equivalent to the total until the previous meassure

= 1*5 = 5

3
60°
х
x = -
y=--
How to solve

Answers

Answer5

Step-by-step explanation:

Plz help me find perimeter and area you do not have to do both but plz help no links!!!!!

Answers

the answer is on the photo

Please help me with this math problem.

Answers

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

[tex]d_1=2 - 16 = -14[/tex]

[tex]d_2=-2 - 2 = -4[/tex]

[tex]d_3 = 4--2 = 6[/tex]

[tex]d_4 = 20 - 4 = 16[/tex]

(2) Subtract adjacent differences in (1) above

[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]

[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]

[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

Round this number to the nearest thousandth.
4.9675

Answers

Answer:

4.968

Explanation:

Answer:

4.968

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

I think you are right

Step-by-step explanation:

I need to find the missing angle and arc measures.
please answer
Step by step

Answers

9514 1404 393

Answer:

  1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°

  6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°

  11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°

  16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°

  21: 50°; 22: 95°

Step-by-step explanation:

The angles are shown in the attached. The following relationships are used to find them.

an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary

_____

All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.

Angle 1 is the central angle for arc HN, so has the same measure: 40°.

Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.

Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.

Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.

Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.

Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.

Angle 7 is half of arc SN, so is 140°/2 = 70°.

  — note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.

Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.

Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.

Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.

Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.

Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.

Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.

Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.

Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.

Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.

Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.

Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.

Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.

Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.

Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.

Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.

Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20- dollar bills. What is her change?

Answers

her change is $14.25

7 more than the quotient of a number is 2 and 9

Answers

Given:

Consider the given statement is "7 more than the quotient of a number and 9 is 2".

To find:

The value of the unknown number.

Solution:

Let be the unknown number.

Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]

7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]

It is given that, 7 more than the quotient of a number and 9 is 2.

[tex]\dfrac{x}{9}+7=2[/tex]

Multiply both sides by 9.

[tex]x+63=18[/tex]

[tex]x=18-63[/tex]

[tex]x=-45[/tex]

Therefore, the unknown number is -45.

Find the volume of each figure. Round to the nearest hundredth if necessary.

Answers

Answer:

316.41 m³

Step-by-step explanation:

7.5x7.5x3.75=210.9375

3.75x3.75x7.5=105.46875

210.9375+105.4675=316.405

what is y=mx+b solve for x

Answers

Answer:

equation of a line

Step-by-step explanation:

Answer:

Formula used during line equations

Which expression is equivalent to 7(3a + 4b) ?


21a + 28b
10a + 11b
10a + 28b
21a + 4b

Answers

Answer:

A

Step-by-step explanation:

21a+28b

hope this helps :))

Choose the correct simplification of a^5b^6/a^4b^4

Answers

Answer:

answer is b²a is the correct answer

Step-by-step explanation:

happy to help :)

the ages of people riding a bus or shown below

23 32 16 10 23 31 14 45 12 31 19 31

what is the mode of the ages

A. 31
B. 23
C. 16
D. 10

Answers

Answer:

31

Step-by-step explanation:

it is the most repeated number duh

A nationwide poll asked a random sample of US adults the question, "Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).
Interpret the confidence interval.

A. We are 95% confident that less than half of US adults favor making Election Day a federal holiday.

B. 95% of the time between 64% and 70% of US adults favor making Election Day a federal holiday

C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.

D. 95% of US adults are in favor of making Election Day a federal holiday by a margin of 64 to 70.

Answers

Answer:

C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.

Step-by-step explanation:

edge

Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

Answers

Answer:

The three best can be chosen and ranked in 336 ways.

Step-by-step explanation:

Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]

The three best can be chosen and ranked in 336 ways.

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

Answers

9514 1404 393

Answer:

  71.4

Step-by-step explanation:

The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...

  P = 2(16.4 +19.3) = 2(35.7)

  P = 71.4 . . . units

__

The missing length on the lower half of the upper right side is 6.3.

HELP ME OUT PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

18.9

Step-by-step explanation:

What is 1/3 divided by 2??
?X2=1/3

Answers

Answer:

2/33

Step-by-step explanation:

calculator.net

Answer:

.165, i think

.165×2 =.33

have a good day

Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?

Answers

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Jed received a $2.000 bonus from his job. He put it into an investment account at 4.65% interest and promises not to touch it for 30 years. How much will be in the account at that time?
WILL GIVE BRANLIEST NEED IN 10 MINS​

Answers

Answer:

$62,790

Step-by-step explanation:

look at the figure. i’ll give you brainlest!!!

Answers

Answer:

u already got it cos x = 8f

Step-by-step explanation:

Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.​

Answers

The equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

At r = 2, y = 3,

r = 4, y = 6,

r = 6, y = 9

Here, r is red paint and y is yellow paint.

The above condition can be written as

2r = 3y

r = 3 / 2y

Therefore, the equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.

To know more about equation:

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HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts

Answers

Answer:

D

Step-by-step explanation:

-3/8 converted to a decimal is -0.375

The absolute value of -0.5 is 0.5

hence, 0.5 is larger than -0.375

so the answer is d

hope this helps and is right :)

Answer:

Please look at the image.

Step-by-step explanation:

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