The area of a room is 28 sq.cm.If the length of the room was 1m less and its breadth was 2m more than it would be in the shape of a square.Find the length and breadth of the room?​

Answers

Answer 1

Answer:

Length = 7cm

Breadth = 4cm

Step-by-step explanation:

The shape of the room is original my in a square shape

Area of a rectangle = Length × Breadth

Area = 28 cm²

Length = L - 1

Breadth = B + 2

Hence

28 = (L - 1)(B + 2)

b(b + 3) = 28

b² + 3b = 28

b² + 3b - 28 = 0

b² +7b - 4b - 28 = 0


Related Questions

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

∠ 1 = 99°, ∠ 2 = 81°, ∠ 4 = 81°

Step-by-step explanation:

∠ 1 and ∠ 3 are vertical angles and are congruent, then

∠ 1 = 99°

∠ 1 and ∠ 2 are adjacent angles and sum to 180° , so

∠ 2 = 180° - 99° = 81°

∠ 2 and ∠ 4 are vertical angles and are congruent, so

∠ 4 = 81°

In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70​

Answers

Answer:

A=35

Step-by-step explanation:

180-75=105, 105÷3=35, 35×2=70, 35+70+75=180

o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл​

Answers

Answer:

3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.

Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.

12 ft
7 ft
10 ft

Please help

Answers

Answer:

not a right triangle

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 and 12² = 144

7² + 10² = 49 + 100 = 149 ≠ 144

Then triangle is not right

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
5x^2-57x=3x-120

Answers

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.

Answers

Answer:1

Which of the following functions has a line of symmetry of x = 2?

Step-by-step explanation:

A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).

Answers

Answer:

3.15 cents

Step-by-step explanation:

So, lets go over all the information we know.

First off, we know that the cost of the item is 70 dollars.

Secondly, we know that the fee is 4.5% of 70 dollars.

Now, what is 4.5%?

Well, we know that 100% is qual to 1.

So lets divide 4.5 by 100, which is just moving the decimal point back by 2:

0.045

Now, the last thing to do is multiply 0.045 by 70.

0.045x70

=

3.15

So now we know the fee for a 70 dollar item is 3.15 dollars!

Hope this helps ;)

6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

A. 80 hours

B. 900 hours

C. about 1.78 hours

D. 2.25 hours

Answers

Answer:

C. about 1.78 hours

Step-by-step explanation:

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

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

Answer: about 1.78 hours

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

t = k/r

2 = k/67

k = 134 (which happens to be the distance)

t = 134/r

t = 134/55

t = 2.436 hours

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

The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours

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

t = k/r\

4 hours and 35 miles per hour,

we find that k = 140.

Now use that 140 in another equation to solve for t:

t = 140/45, and

t = 3.1 hours

What is the value of cose in the diagram below?
a)3/5
b)3/4
c)4/5
d)4/3

Answers

The answer to your question is A which is 3/5


solve for n: 3 x n = 2 x 9

Answers

Answer:

n = 6

Step-by-step explanation:

3 x n = 2 x 9

2 x 9 = 18

3 x n = 18

divide by 3 on both sides:

n = 6

hope this helped :)

What is the geometric mean of 18 and 49

Answers

Step-by-step explanation:

Geometric mean =√18×49√88229.69

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

pedro tenia 80.000 y gasto el 25% ¿cuanto dinero le queda?

Answers

A Pedro le queda 60,000

P , Q, R and S are four points on a circle

Answers

Answer:

Yes

Step-by-step explanation:

it is because they meet together

Which expressions are differences of squares?

Select each correct answer.

Answers

Answer:

First two are difference in squares.

81=9^2 225=15^2

Answer:

The expression which denotes the differences of squares is

n² - 225

As here 225 is a square of 15.

Hope it will help :)❤

54 as a fraction of ____ is equivalent to 9/10

Answers

Answer:

54 as a fraction of 60 is equivalent to 9/10

Step-by-step explanation:

54/x = 9/10

54 * 10 = x * 9

6*9 * 10 = x * 9

6 * 10 = x

x = 60

18. Is this figure a polygon? Explain.

Answers

Answer:

no

Step-by-step explanation:

A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.

(help pls)
1. what is the probability of an event if event will never happen?
a. 0
b. 1
c. ½
d. ¼
2. which of the following can be the probability of an event?
a. -0.4
b. 1.004
c. 18 over 23
d. 10 over 7​

Answers

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?

NO LINK​

Answers

Answer:

Find the Slope = y2 - y1 / x2 - x1

 = 6 - 2 / 12 - -4

 = 4/16  

= 1/4  This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

  y - 6 = 1/4 (x - 12)  Distribute the 1/4

 y - 6 = 1/4 * x - 3  Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3

Step-by-step explanation:

brainliest please?

The value of m for a line that passes through  (-24, m) and (12,11) and have a slope of 1 / 12 is  8.

What ia a slope?

The slope of a line is a measure of its steepness. The slope is rise divided by the run.

Therefore,

(-24, m)(12, 11)

slope = m = 1 / 12

slope = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = -24

x₂ = 12

y₁ = m

y₂ = 11

1 / 12 = 11 - m / 12 + 24

1 / 12 = 11 - m / 36

cross multiply

36 = 12(11 - m)

36 = 132 - 12m

36 - 132 = -12m

-96 = -12m

m = 96 / 12

m = 8

learn more on slope here:https://brainly.com/question/13929101

NO LINKS plz help
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.
What is the area of the shaded region

Answers

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

U + 3 = 7 step by step explanation

Answers

U + 3 = 7
-3 -3

(7-3=4)

U=4
u = 4
3-3=0
take it to the other side and 7-3=4

Alyssa was out at a restaurant for dinner when the bill came. Her dinner came to $25
She wanted to leave a 27% tip. How much was her meal plus the tip, before tax, in
dollars and cents?

Answers

$31.76 because .27 x 25= 31.76

pls help me answer this question

Answers

Answer:

c

Step-by-step explanation:

10*10=100

100-78.54=21.46

so rounded answer is c or 21.5

goodluck on your test

Answer: Hello Luv......

C. 21.5

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

Find the base area of a square pyramid
whose base has a side length of 12cm.
A) 148 B) 144
C) 143
D) 140

Answers

Answer:

B) 144 cm^2

Step-by-step explanation:

B) would be the right answer

In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°

Answers

Answer:

x = 19

Step-by-step explanation:

The lower base angles in an isosceles trapezoid are congruent , then

5x - 20 = 2x + 37 ( subtract 2x from both sides )

3x - 20 = 37 ( add 20 to both sides )

3x = 57 ( divide both sides by 3 )

x = 19

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer: A) 82.3

Step-by-step explanation:

Mean= average

To find mean, you add up all the numbers and divide by the number of numbers.

In this case you do:

(81+78+83+89+80+87+78) ÷ 7

81+78+83+89+80+87+78

=576

Now, divided by 7

576 ÷ 7

= 82.2857142857

Round to nearest tenths place

= 82.3

2+2=4 got it right took the test.

Answers

Answer:

Good for you

Step-by-step explanation:

210 is what percent of 500?

Answers

Answer:

42

hope this answer helps you!

The answer is 42

Explanation:

Step 1: We make the assumption that 500 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%= 500.

Step 4: In the same vein, X%= 210.

Step 5: This gives us a pair of simple equations:

100%= 500(1)
X%=210(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100%/X%= 500/210

Step 7: Taking the inverse (or reciprocal) of sides yields
X%/100= 210/500
X= 42%

What two numbers multiply together to equal 15 and add together to equal 8?

Answers

5 times 3 equals 15 and 5 plus 3 equals 8

Answer:

5 and 3

Step-by-step explanation:

please mark me brainlist

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?​

Answers

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Other Questions
What is the mass of 1.72 moles of sodium nitrate? Use the periodic table and the polyatomic ion resource. Required information The Foundational 15 (Static) [LO13-2, LO13-3, LO13-4, LO13-5, LO13-6] Skip to question [The following information applies to the questions displayed below.] Cane Company manufactures two products called Alpha and Beta that sell for $120 and $80, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 100,000 units of each product. Its average cost per unit for each product at this level of activity are given below: Alpha Beta Direct materials $ 30 $ 12 Direct labor 20 15 Variable manufacturing overhead 7 5 Traceable fixed manufacturing overhead 16 18 Variable selling expenses 12 8 Common fixed expenses 15 10 Total cost per unit $ 100 $ 68 The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars. Foundational 13-1 (Static) Required: 1. What is the total amount of traceable fixed manufacturing overhead for each of the two products so2+o2 = so3 mtodo de tanteo I'LL GIVE BRAINLIEST !!!!What is the atmosphere? Answer please no links or files Jewish reforms included___ stopping the rare practice of "suttee".a loss of hope that a personal Messiah would ever come.elevating women's status.a rededication to the authority of scripture, especially the Torah. A body is thrown vertically upward, reaches the maximum height h. It then return to the ground calculate the distance travelled and displacement And the difference between the range and the mean (15. 13. 22, 18, 13. 12. 18, 16, 14, 18, 14) What is the difference between a cup of tea at 95C, and a drop of tea at 95C? a. 75.5 meters in 20 seconds A roller coaster climbing up hill is an example of A. Building up nuclear energy B. Building up potential energyC. Building up chemical energy D.building up kinetic energy For each of the following items, calculate the cash sources or cash uses that should be recognized on the statement of cash flows for Baldin Co. for the year ended December 31, 2019: Required: a. Sales on account (all are collectible) amounted to $763,000, and accounts receivable decreased by $22,300. How much cash was collected from customers Which country used denazification as a reason for killing and enslaving millions of German men, women, and children? PLEASE HELP ME!!!!!!!!!! Da solucin al siguiente sistema de ecuaciones utilizando el mtodo de igualacin. X + y =82 , 5x + 10y = 500 por favor es para hoy. Answer the following question in 5-6 sentences. Include specific details or quotes from either of the texts in this activity:What do myths reveal about the connection between the natural world and humans? 2y - 6 = 2What value of y makes the following true Early Rome was able to develop because -A. It was far away from the empires to the eastB. It was under the protection of AthensC. The Persian Empire had collapsed into small statesD. Phoenician sailors kept pirates from attacking Rome Seasons in the Southern and Northern Hemispheres occur during the same times of the year.TrueFalse find the length of x plsss