USE THE SQUARE ROOT PROPERTY!!!!!

the sides of a square are reduced by 2 inches. the new area is 20 square inches. Set up and solve an equation to find the original length of the square

Answers

Answer 1

Answer:

Step-by-step explanation:

x = original length of one side

(x-2)² = 20 inches²

x-2 = ±√20 = ±2√5

x = 2±2√5

2-2√5 is an extraneous solution,

so x = 2±2√5 ≈ 6.47 inches


Related Questions

Which of the following represents a Pythagorean Triple? 1 {10, 20, 30} {5, 7, 10} {21, 72, 75} {11, 45, 60}

Answers

Answer:

F=dA  

dF=0  

d⋆F=⋆J  

where in fact the second equality is not needed because of the identity  d2=0 . In abstract tensor notation, these equations expand to

Fab=2∇[aAb]  

∇[aFbc]=0  

∇aFab=Jb  

where in the above, additional compact notation has been used to simplify things: square brackets mean antisymmetrizing indices, and the covariant derivative  ∇a  is related to a flat derivative  ∂a  and a connection  Γbac . Now, performing a 3+1 decomposition (here in flat space-time) Maxwell's equations break down as

∇⋅B⃗ =0  

∇⋅E⃗ =4πρ  

∂B⃗ ∂t=−∇×B⃗  

∂E⃗ ∂t=+∇×B⃗ −4πJ⃗ .  

In the above, there is yet more compactifying notation: the divergence is defined as

∇⋅v⃗ =∂vi∂xi  

and the curl is defined as

(∇×v⃗ )i=ϵijk∂vk∂xj.  

In the above, still more compactifying notation has been used, namely the Einstein summation convention. Written out in components, the divergence is

∇⋅v⃗ =∂vx∂x+∂vy∂y+∂vz∂z  

and curl is defined as

(∇×v⃗ )z=∂vy∂x−∂vx∂y  

and similarly for the other two components.

As you can see, the extremely compact and powerful notation

dF=0  

d⋆F=⋆J  

expands out to a large set of component equations—but they have the same content, so it's not very meaningful that the equations in components are much longer than in terms of differential forms.

As another example, Elson Liu answered with an exploded-out form of the Standard Model Lagrangian. However, it can be written much more compactly:

L=LYM+LHiggs+Llep.+Lqrk.+LYuk.  

where

LYM=−14TrFabFab  

LHiggs=−(Daϕ†)(Daϕ)+14λ(ϕ†ϕ−12v2)2  

Llep.=iℓ†I/DℓI+ie¯†I/De¯I  

Lqrk.=iq†I/DqI+iu¯†I/Du¯+id¯†I/Dd¯I  

LYuk.=−yIJϕℓIe¯J−y′IJϕqId¯J  

−y′′IJϕ†qIu¯J+h.c.  

and specifying that F is the curvature on the gauge group  G≃SU(3)⊗SU(2)⊗U(1) ,  Da  is the gauge covariant derivative on G,  /D  is the gauge covariant Dirac operator on G, and specifying the representations of the fields: the scalar  ϕ  in the rep (1,2,-1/2), and the fermions  ℓ  in the rep (1,2,-1/2),  e¯  in (1,1,+1),  q  in (3,2,+1/6),  u¯  in  (3¯,1,−2/3) , and  d¯  in  (3¯,1,+1/3) ; where I is a generation index running over 1,2,3, and where everything else is a constant.

Step-by-step explanation:

HHELPPPPP another math up thing #2
_________________________________

1. Estimate each amount. Show or explain how you estimated one of the amounts.

a) 3/8 of 3/4

b) 7 1/0 of 8 1/2

c) 5/2 of 5/2


2. Calculate each amount.

a) 4/5 × 3 1/5

b) 4 2/3 × 3 2/5

c) 9/4 × 6/5


3. a) Explain why this is true:
3 1/4 × 2 2/3 > 6.

b) Explain why 3 1/4 × 2 2/3 is the area of a rectangle
3 1/4 units × 2 2/3 units.

(: plllllz help!! ill give u brainlist, thank you,5 stars,+ u get the points!! :D

Answers

Answer:

wwx

Step-by-step explanation:

1 point
Which phrase best describes the expression 3x +4y + 1/2 z

A. the product of three variables

B. The value of three coefficients

C. the quotient of three terms

D. the sum of three terms

Answers

Answer:

D

Step-by-step explanation:

It would be D "the sum of three terms".

Since your just finding the sum (or total) of three integers (numbers).

Can someone help me figure this out if its blurry i'll try to write the whole thing out for you guys so plss answer this question

Answers

Answer:

Part 2)  5 hr

Part 3)   $80 and $160

Step-by-step explanation:

Part 2)  Equate the two pay equations:  20H = 10H + 50

             Subtract 10H from both sides:  10H = 50

              Then H = 5.  

               After 5 hours, each would have earned the same    amount.

Part 3)  In an 8-hour day, one guy would earn ($20/hr)(8 hr) = $160, and the other guy would earn ($10/hr)(8 hr) = $80.

Answer:

2. 5 hours

3. $80 and $160

MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE HELP AND PLEASE GIVE AN EXPLANATION!!!!!!!!!!!!!!

Answers

Answer:

30 books on the shelf are Fiction.

Step-by-step explanation:

Hey!

There are 50 books on a shelf.

1/5 of the books are Science Fiction.3/10 are Non-Fiction.The Rest are Fiction.

how many books on the shelf are Fiction?

==================================================================

MAKE AN EQUATION!

We know that there are three Categories: Fiction, Science Fiction, and Non Fiction.

Total- 50

50 =

1/5 of 50 are SF

50 = (1/5)(50)

3/10 of 50 are NF

50 = (1/5)(50) + (3/10)(50) + x

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

SOLVE THE EQUATION!

(1/5)(50) + (3/10)(50) + x = 50

To Isolate X-

  -Multiply and remove the parentheses..

50/10 + 150/10 + x = 50

   -Simplify.

5 + 15 + x = 50

   -Add Like Terms

20 + x = 50

     -Subtract 20 from both sides.

20 + x - 20 = 50 - 20

      -Simplify Right Hand Side.

x =  30

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

So, 30 books on the shelf are Fiction.

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

The table shows the approximate number of minutes of physical exercise each student in Noah’s class gets per day. Identify any outliers in the data set and explain how they affect the data.


I need an explanation please.

Answers

Answer:

120 and 180 minutes have outliers

Step-by-step explanation:

An outlier is a point of data in a data set that is far out from the median in the data set. In this case, almost all of the data points are from 0 minutes of exercise to 60 minutes, except for two that are more than double that.

It could "skew" the data, as if you were to calculate the mean (average), it would be shifted slightly higher by these two outliers.

Hope this helps!

Answer:

120 and 180 have outliners

Step-by-step explanation:

Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.

How much wood did it take to cover the ramp, including the bottom?
Give an exact answer (do not round).

Answers

Answer:

triangle side = 0.54

so both triangle sides = 1.08

and then the sides (1.5 * 3.5) * 2 = 10.5

the last side = 0.9 * 3.5 = 3.15

so add it all  3.15 + 10.5 +  1.08

total area = 14.73 m^2

Il pretty sure it’s 15.73 m^2

A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.” Use snap cubes to represent the amounts of red and blue paint in the recipe. Then, draw a sketch of your snap-cube representation of the maroon paint. Your teacher will provide directions on how to use the snap-cubes. What amount does each cube represent? How many milliliters of maroon paint will there be?

Answers

Answer:

8 ml

Step-by-step explanation:

Each cube equals 1ml  add them up dude...

Please Help I Will Give 5 Stars

Answers

it’s 10. i’m in precalc. def not 48 like the other dude said

someone please help me

Answers

Answer:

n/2 = 9

Step by Step:

n/2 = 9

n/2 * 2 = 9 * 2

n = 9* 2

n = 18

POD: 4 (2a + 3) = 28

Answers

Answer:

a = 2

Step-by-step explanation:

4 (2a + 3) = 28

4 * 2

= 8

4 * 3

= 12

8a + 12 = 28

28 - 12

= 16

8a = 16

16 / 8

= 2

a = 2

Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!

Answers

Answer:

H

Step-by-step explanation:

3:2 IS EQUAL TO 3/2

A box of Capri Sun costs $2.49. How much do a dozen boxes of Capri Sun cost? To solve this real world problem, the first thing you need to know is a dozen equals Next you need to 2.49 and to find out that a dozen boxes of Capri Sun will cost .

Answers

Answer:

$29.88

Step-by-step explanation:

Answer:

29.88

Step-by-step explanation:

You have to multiply 2.49*12=29.88

A dozen is equivalent to 12

PLEASE EXPLAIN THIS IM SO CONFUSED (dont send links)
_____________________________________________________
Lyn played a trivia game. She answered 6 questions and received the following scores: 200, -400, 100, -600, 700, and 200. What was Lyn's score?

Answers

200 was her score. you are just adding all the numbers, including the negatives

Answer: Her end score would be 200 points.

Step-by-step explanation:

Add everything together like so, 200+-400+100+-600+700+200 and that equals 200

Can someone help me please!!!

Answers

1. 109

2. 52

3. 4

4. 89

5. 111

6. 72

109
52
4
89
111
72
Is the answers good luck

is the expression 3^2/3^3 equivalent to 3^3/3^2

explain.

Answers

Answer:

No, the two expressions are not equivalent.

Step-by-step explanation:

3²÷3³ = 9÷27 = 1/3

3³÷3² = 27÷9 = 3

Sry but im just answering this bc i needa ask a question

Mr. Chang buys supplies for the school store. He bought 300 pencils on sale for $10. During the first three months of school, he sold 200 pencils and made $50. The other pencils were thrown away because they were broken. How much profit did Mr. Chang make on the pencils?

Answers

Answer:

$40

Step-by-step explanation:

He bought the pencils for $10, so his expense was $10. He sold the pencils for $50, and $50 - $10 is $40, and that's the total amount of money he made.

$40 .................………

Which is a true statement about the dot plot?

Number of Rolls of a Six-Sided Number Cube to Get an Even Number
A dot plot going from 1 to 5. 1 has 4 dots, 2 has 8 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot.

A. The data is skewed left.
B. There is a cluster at 1, 2, and 3.
C. It never took more than 4 rolls to get an even number.
D. Most often it took 3 rolls to get an even number.

Answers

I think that the answer is C

It is B I have found resources that said it

b. Write an equation that shows the relationship 64% of
y is 40.

c. 45 of x is 72 find the value if x

Answers

B.

[tex]0.65 \times y = 40 \\ y = \frac{40}{0.65} [/tex]

C.

[tex].45 \times x = 72 \\ x = \frac{72}{.45} \\ x = 160 \\ 45 \: percent \: of \: 160 \: is \: 72[/tex]

What is the difference between a sample and a population?
a. Populations only consider a portion of the sample being studied. This answer is incorrect.
b. Samples are generally much larger than populations.
c. Populations do not always represent the entire group of people in question.
d. Samples only consider a portion of the population being studied.

Answers

It’s answer D!!!!!!!!!!!

May someone please help me, please? This is about exponents by the way. About 5 questions I need help with.

Answers

Answer:

16=16^1

1/4=(1/2)^2

25= 5^2

49=7^2

16=4^2

Step-by-step explanation:

Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help on both of these questions.

Answers

Answer:

i dont know, just need some points

Step-by-step explanation:

A rectangle has a length of 8 feet and a width of 3 feet. If a right triangle has a height of 3 feet, what length would its base be if it has the same area as the rectangle?

Answers

16 - A triangle is length x height x 1/2
^ what they said:)
Have a great day!!!!!

Nathaniel created the circle graph to show the percentage of his free time he will engage in different activities on Sunday. If Nathaniel has 8 hours of free time on Sunday, which is the amount of time he will spend watching television?

A. 240 minutes
B. 336 minutes
C. 144 minutes
D. 168 minutes

Answers

Answer:

He has about D

Step-by-step explanation:

I tried to do the math the exact answer I got was 216 so i may be wrong.

Answer: 35 :)

Step-by-step explanation: If 100% means full then we should find the amount that they already used which was 65 and then minus 100 was 35 :) Brainliest would be appreciated.

Please help me out
ill brainliest u

Answers

Answer:

1) x-3=0

4) 6=2x

6) x²=9

Step-by-step explanation:

x-3=0

x=3

----

1+x = 2

x = 2-1

x = 1

----

9-x=3

9-3=x

6=x

----

6=2x

6/2=x

3=x

----

x/5=3

x=3*5

x=15

----

x²=9

x=±3

These are the value of x solved for each equations. If you have any questions, feel free to ask.

Answer:

1. yes

2. no

3. no

4. yes

5. no

6. yes

Step-by-step explanation:

anyone plz yo know why i,mhere like always

Answers

Answer:

I think that G is the correct answer , 24 ft2 .

hope it helps u ..:)

pretty sure g is the correct answer

A help me outtt rq i dont know

Answers

The answer is 125. That is because thats the Answer.

At a dinner, a meal costs $22 and a sales tax of $1.87 was added to the bill.
1. How much would the sales tax be on a $66 meal?
2. What is the sales tax rate in this city?

Answers

Answer:

$8.50, the rate is 9.65%

Step-by-step explanation:

The rate is 8.50 and 9.95%.

PLEASE HELP FAST! What is the area of a circle with a diameter of 10 cm?

Answers

Answer:

i think A

Step-by-step explanation:

Answer:

c is the answer :)

Step-by-step explanation:

In 10^3(exponent), 10 is the base, and 3 is the exponent. That means 10 will appear as a factor 3 times: 10 · 10 · 10. 10^3(exponent)​​ = 1000.



In 2^7, how many times will 2 appear as a factor?

A
2

B
14

C
7

D
9

Answers

C. 7 2^7 makes 2 appear 7 times
I think b I’m not sure
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