The area of a rectangular wall of a barn is 216 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn

Answer: 8

Step-by-step explanation:

Answer:

[tex] LJ = 46 [/tex]

Step-by-step explanation:

Given:

[tex] LK = MK [/tex]

[tex] LK = 7x - 10 [/tex]

[tex] KN = x + 3 [/tex]

[tex] MN = 9x - 11 [/tex]

[tex] KJ = 28 [/tex]

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

[tex] MK + KN = MN [/tex] (segment addition postulate)

[tex] MK = MN - KN [/tex] (Subtract KN from each side)

[tex] MK = (9x - 11) - (x + 3) [/tex] (subtitution)

[tex] MK = 9x - 11 - x - 3 [/tex]

[tex] MK = 9x - x - 11 - 3 [/tex]

[tex] MK = 8x - 14 [/tex]

LK = MK, therefore,

[tex] 7x - 10 = 8x - 14 [/tex]

Subtract 8x from each side

[tex] 7x - 10 - 8x = 8x - 14 - 8x [/tex]

[tex] -x - 10 = -14 [/tex]

Add 10 to both sides of the equation

[tex] -x - 10 + 10 = -14 + 10 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

Step 2: Find LJ

[tex] LJ = LK + KJ [/tex] (segment addition postulate)

[tex] LJ = (7x - 10) + (28) [/tex]

Plug in the value of x

[tex] LJ = 7(4) - 10 + 28 [/tex]

[tex] LJ = 28 - 10 + 28 [/tex]

[tex] LJ = 46 [/tex]

Answer:

y = - x² + 2x - 4

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

x² + y = 2x - 4 ( subtract x² from both sides )

y = - x² + 2x - 4 ← in standard form

Answer:

2909

Step-by-step explanation:

Answer:

So the answer for your question is Sarah is correct because square root 2 is irrational:)

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

√  means square root. Square root means a number which produces a specified quantity when multiplied by itself. SO for example 7 is a square root of 49...

Example of another irrational and rational number: 74 is rational. Irrational number would be  3.14:)

Hope this helped...yeah I wrote a lot of stuff, I hope you understand it;)

Answer:

17

Step-by-step explanation:

Whenever you are multiplying 2 negative numbers together, the answer is always positive. In this case, you are multiplying -1 and -17 together, so your answer is going to be 17.

Answer:

4.63 as simplified fraction is

463/100

Step-by-step explanation:

4.63 as a fraction in simplest form

To convert 4.63 to fraction, follow these steps:

First write down the decimal number divided by 1 like this:

4.63/1

As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10² = 100, so that there is no decimal point in the numerator

4.63 × 100

   1 × 100

=

463/100

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 4.63 as a mixed number, thus 463/100 is equal:

4 63/100

Answer:

true

Step-by-step explanation:

bc the integer equals to the subset

Answer:

________________

I think it's 85 yards

Answer:

6+36-4=38/2=19

Answer is 19 for number 1

Step-by-step explanation:

Answer:

[tex]$\frac{1}{1029} $[/tex]

Step-by-step explanation:

[tex]$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} } $[/tex]

[tex]$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}} $[/tex]

[tex]$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} } $[/tex]

[tex]$\frac{\frac{1 }{343} }{3} $[/tex]

[tex]$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3} $[/tex]

[tex]$\frac{1}{1029} $[/tex]

Answer:

O is greater than -4

Step-by-step explanation:

Answer:

O is less than -4

0<-4

Step-by-step explanation:

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

Answer:

509 rounded to the nearest hundred is:

500

Step-by-step explanation:

When rounding to the nearest hundred, like we did with 509 above, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

Rounded to Nearest Hundred

Enter another number below to round it to the nearest hundred.

What is 510 rounded to the nearest hundred?

Now you know what 509 rounded to the nearest hundred is. Go here for the next number we rounded.

Answer:

It's A :)hope this helped.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: Khan Academy

Answer:

7

Step-by-step explanation:

Answer:

1/81

Step-by-step explanation:

First, square 1/3 that gets you, 1/9, multiply by 3 again to get 1/27, again to get 1/81

Answer:

x = 3

Step-by-step explanation:

4x+3=15

subtract

4x=12

divide

x=3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4x+3=15\\\\4x+3-3=15-3\\\\4x=12\\\\\frac{4x=12}{4}\\\\\boxed{x=3}[/tex]

Hope this helps.

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

Answer:

W

Step-by-step explanation:

so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)

Answer:

Shown in the picture

Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

Answer:180

Step-by-step explanation:

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

given:

A penny is a cylinder with a diameter of 19.05 millimeters

and a thickness of 1.55 millimeters.

find:

what is the surface  area of a penny?

surface area of a cylinder formula:

As = 2 π r h + 2 π r²

let r = 19.05 / 2

r = 9.53 mm

let h = 1.55mm

plugin values into the formula:

As = 2 π (9.53) 1.55    +    2 π (9.53)²

As = 92.76 +  570.05

As = 662.81 mm²

therefore,

the surface  area of a penny = 662.81 mm²

Answer:

the surface  area of a penny = 662.81 mm²

Step-by-step explanation:

got this correct in exam

Answer: 0.75 minutes per lap

Explanation:

Answer:

probably the first one 4x+6

Answer

4x square + 3

Step-by-step explanation:

Perimeter of a Rectangle = 2(l * b)

= 2*(2x+3 * x)

=2*(2x*x+3)

=2*(2x squared * + 3)

2*2x squared + 3

=4x square + 3

Hi

[tex]\sqrt{(x+7)[/tex]   -1 = X

Let's square the whole thing  

so we have :    x+7 +1 = x²

                         x² +x+7 +1 = 0

                         x²+x+8 = 0

no easy way to see a common factor so, let 's resolve by using discriminate.  

Δ = 1-4*1*8

Δ = 1 -32

Δ = -31

as Δ  ≤ 0 , there is no Real answer to your equation  

however , if you need we can find imaginary solutions. Just ask in commentaries

Answer:

its 2

Step-by-step explanation:

Answer:I have now idea how to do this I only nine

Step-by-step explanation: IDK

Answer:

6 eggs for a 15 person cake.

Step-by-step explanation:

The cake recipe for 5 people requires 2 eggs.

You are solving for the amount of eggs for 15 people.

Divide 15 with 5: 15/5 = 3

The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:

2 x 3 = 6

6 eggs is needed.

[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]