The width of classroom is 4 meters less than the length, and the area is 192m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom

Answers

Answer 1

Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m


Related Questions

A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer

Answers

Answer:

502.4 mm^2

Step-by-step explanation:

First find the area of the larger circle, and then that of the smaller one.

Then subtract the latter (2nd) area from the first.

larger circle area           smaller circle area

-------------------------           ---------------------------

 3.14(14 mm)^2                   3.14(6 mm)^ 2

This comes out to 3.14[14^2 - 6^2] mm^ 2 =  3.14[196 - 36] mm^2, or

3.14(160 mm^2) = 502.4 mm^2

The area of the metal washer is 502.4 mm^2.

At Safeway, a pound of apples cost $1.32. Mrs. Terry purchased 7.5 pounds of apples. How much money did
Mrs. Terry spend on apples?

Answers

Answer:

the answer is $1.32×7.5=$9.9

Answer:

£9.90

Step-by-step explanation:

There are 2 ways you can do this. Both are similar.

For the first method it's much quicker but you might need a calculator.

You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.

If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24

Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.

Add the 2 numbers together

0.66 + 9.24 = £9.90

Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary

Answers

Answer:

0.2

Step-by-step explanation:

0.2=2/6=1/3=P(x)

.........

Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?

Answers

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Find the sum of the measures of the exterior angles of a 52-gon.


9360°


9000°


360°


520°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Please help if yk tha answer :))

Answers

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Drag the correct word and the appropriate value to the box with each given interval

Answers

Answer:

this answer is for functional value only

Write the following number in standard decimal form
seven and fifty-two thousandths

Please help

Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

Find the circumference of the circle.​

Answers

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?

Answers

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.

Answers

The pythagorean theorem states that a^2 = b^2 + c^2, where a is the side that opposes the right angle.

In this case, you have a and b, so you need c.

That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.

Answer: 10 in.

Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2}  = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.

A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?

Answers

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

) yx2x1 how do you write it in simplest form​

Answers

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated


Convert y + 2 = 3/2(x – 4)
to general form.

Answers

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

MATH QUESTION HELP ME PLS, KINDA URGENT!!

I need to resolve this with the elimination method

x +y +z = 13
x–z = −2
−2x +y = 3

how-?

Answers

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer

X=2

Y=7

Z=4

Step by step answer

Trust

Find the nth term of 9, 12, 13, 18​

Answers

Answer:

3

Step-by-step explanation:

in this pattern, you can see that it constantly increases by 3. knowing that, we can plug in 3 I. your equation to figure out any term you would like!

The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?

Answers

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

100% = 50%

Basically, every 10% is +5 cars

answer?? please answerr

Answers

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

(0, -4)(2, 6) (-2, -14)

function A y-int: (0, -86)

function B y-int: (0, -4)

What rav3ntails said

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answers

Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]

round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it ​

Answers

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

Learn more about Rounding off here:

https://brainly.com/question/28128444

#SPJ6

what is the tan B in the given triangle​

Answers

Answer:

tan 4/3

Step-by-step explanation: also bts sucks

Answer:

4/3

Step-by-step explanation:

tan B = opp/adj

tan B = 4/3

What is the volume of the following rectangular prism?

Answers

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

Learn more about prism here:

brainly.com/question/23946563

#SPJ6

Find the value of p when 3P = 1/9​

Answers

Answer:

p=1/27

Step-by-step explanation:

3p=1/9

when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied

3p*9=1

27p=1

when 27 goes the right hand side multiplication changes to division .So

p=1/27

The value of P is 1/27 for equation 3P = 1/9​

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Equation is  3P = 1/9​

Three times of P equal to one by nine

We need to find the value of P

3P = 1/9​

Divide both sides by nine

3P/3=1/9×1/3

P=1/27

Hence, the value of P is 1/27.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle

Answers

The answer is scalene

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Solve the given portion 10/a= 15/24 x=?

Answers

Answer:

[tex]a = 16.[/tex]

Step-by-step explanation:

[tex] \frac{10}{a} = \frac{15}{24} [/tex]

Then

[tex]15 \times a = 24 \times 10[/tex]

So

[tex]a = 240 \div 15[/tex]

Therefore

[tex]a = 16.[/tex]


[tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]
Pls include steps...​

Answers

Step-by-step explanation:

everything can be found in the picture

I need help finding the slope

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1

what is 94.2 and 87 averaged out

Answers

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The answer is 90.6 . You take the sum of the numbers and divide by two .
Other Questions
what makes you special don't think too hard just have with it. La televisin persuasiva Los medios de comunicacin social, principalmente la televisin, se han convertido en medios muy influyentes en la cotidianidad de las personas [...]. La influencia de la televisin es peculiar, interesante y peligrosa. La persuasin es la tcnica ms utilizada: un propsito consciente de formar, reforzar o cambiar actitudes, creencias, opiniones, percepciones o conductas de alguna persona. Consiste en influir sobre los dems para hacerlos pensar de un modo determinado, rechazar algo o adaptarlo, o inducirlos a realizar una accin determinada. que impacto tendria en una comunidad por favor responder antes de hoy a las 5 pm universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber intersect A union C What can we say about Amber? 6th grade math help me pleaseee 1. Design pseudocode for a program that will permit a user to store exactly 75 numbers in an array. Create an array big enough to hold the numbers and store each number in the array as it's entered. Be sure to PROMPT the user for each number before it's entered. You do not need to initialize the array. HINTS: Make sure you use a named constant when you declare the array (the number inside the brackets should be a named constant that you declared before the array declaration.) Use a for loop (or while loop if you'd like) to get each number from the user. The module has an example of pseudocode very similar to this problem. You're free to use this pseudocode as you create your program. 2. Identify three advantages of arrays. For each advantage, write at least one complete sentence explaining why the advantage you listed is an advantage. More detail is better. You may use outside resources but be sure to CITE those resources using APA format. 1 point1. To win a prize, Jada must get a ball with an even number. Should she tryto win the prize using the tank of table tennis balls or the tank of golf balls?A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10table tennis balls from the tank and writes down their numbers.13513.24153A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf ballsfrom the tank and writes down their numbers.1452622.148O Jada should use the tank of tennis balls.O Jada should use the tank of golf balls.1b. Explain your reasoning."3 pointsYour answer how do you give BRAINLYIST for mathematics Debemos cuidar la formalidad cuando enviamos una carta por correo electrnico?, por qu? The one-to-one functions g and h are defined as follows In two or more complete sentences explain how to balance the chemical equation and classify its reaction type.___NaI + ___Pb(SO4)2 ___PbI4 + ___Na2SO4 Details from the speech:1) Dr. Kings life teaches many lessons.2) Dr. King knew that he would probably not survive his struggle.Meaning of the details:1) The lessons of Dr. King will help people truly be free at last.2) Heroes must accept that enormous sacrifices will be made in the name of justice.Based on the meanings of the important details, what is most likely a theme of Chavezs speech? A hero in Dr. Kings time was different from a hero in Cesar Chavezs time. A hero knows when he has made enough progress and will call it quits. A hero knows that fighting for justice is never easy but that making a difference is worth it. A hero should make sacrifices for other people, but he should also stay safe. Somebody Please Help!!! Which of the following statements is CORRECT?a. Suppose a firms total assets turnover ratio falls from 1.0 to 0.9, but at the same time its profit margin rises from 9% to 10% and its debt decreases from 60% of total assets to 40%. Under these conditions, the ROE will increase.b. Suppose a firms total assets turnover ratio falls from 1.0 to 0.9, but at the same time its profit margin rises from 9% to 10% and its debt increases from 40% of total assets to 60%. Without additional information, we cannot tell what will happen to the ROE.c. The Du Pont equation provides information about how operations affect the ROE, but the equation does not include the effects of debt on the ROE.d. Other things held constant, an increase in the debt ratio will result in an increase in the profit margin on sales.e. Suppose a firms total assets turnover ratio falls from 1.0 to 0.9, but at the same time its profit margin rises from 9% to 10%, and its debt decreases from 60% of total assets to 40%. Under these conditions, the ROE will decrease. The function f(x) = x +9 and the other function P is given by P(x) = f(x) - 34 x + 5 find P (5 ) The high temperature in the upper thermosphere: a. produces a tremendous amount of heat transfer. b. would feel cold to humans due to few molecules for heat transfer. c. is produced primarily by the increased molecular activity of argon and helium. d. is more a measure of sensible temperature than kinetic energy. e. is produced by the absorption of UV radiation. Why didn't the Guarani wear more clothing? Renaissance Creations restores antique stained glass windows. All jobs generate some breakage or improper cuts. This scrap can be sold to stained glass hobbyists. Renaissance Creations expects to incur approximately 90,000 direct labor hours during the year. The following estimates are made in setting the predetermined overhead rate for the year: Overhead costs other than breakage $594,400 Estimated cost of scrap $50,400 Estimated sales value of scrap (14,800) 35,600 Total estimated overhead $630,000 One job that Renaissance Creations completed during the year was a stained glass window of the Pierce family crest that took 250 hours, and direct labor is invoiced at $20 per hour. Total direct material cost for the job was $1,780. Scrap that was generated from this job was sold for $186. a. What was the predetermined overhead rate (set on the basis of direct labor hours) for the year The angles shown below are supplementary:what is the value of x How can buisness decision affect the local community?? At a constant temperature of 30 C, an ideal gas occupies 2.78 Liters at a pressure of 1.27 atm. What will be the volume (L) at a pressure of 3.95 atm?