The area of a square is always greater than its perimeter. Which of the following side-lengths for a square provides a counterexample that disproves the statement above?A. 2TT.B. 4.C. 7.5.D. 10.E. 125.

Answers

Answer 1

Answer:

a. 2

Step-by-step explanation:

Area of a square is calculated as:

[tex]Area = Length * Length[/tex]

And the perimeter is

[tex]Perimeter = 4 * Length[/tex]

For (a):

[tex]Length = 2[/tex]

[tex]Area = 2 * 2 = 4[/tex]

[tex]Perimeter = 4 * 2 = 8[/tex]

For(b):

[tex]Length = 4[/tex]

[tex]Area = 4 * 4 = 16[/tex]

[tex]Perimeter = 4 * 4 = 16[/tex]

For (c):

[tex]Length=7.5[/tex]

[tex]Area = 7.5 * 7.5-56.25[/tex]

[tex]Perimeter = 4 * 7.5 = 30,[/tex]

For (d):

[tex]Length = 10[/tex]

[tex]Area = 10 * 10 = 100[/tex]

[tex]Perimeter = 4 * 10 = 40[/tex]

For (e):

[tex]Length = 125[/tex]

[tex]Area = 125 * 125 =15625[/tex]

[tex]Perimeter = 4 * 125 = 500[/tex]

From (a) to (e), only side length 2 has a higher perimeter.

Hence, it disproves the statement


Related Questions

inverse laplace of L^-1 {5s/s^2 + 3s - 4}​

Answers

Answer:

[tex]e^t+e^{-4t}[/tex]

Step-by-step explanation:

We have to simplify the original function using partial fraction, hence:

[tex]\frac{5s}{s^2+3s-4} =\frac{5s}{(s-1)(s+4)}\\\\=\frac{A}{s-1}+\frac{B}{s+4}\\\\Therefore:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\Eliminating\ the \ denominator:\\\\A(s+4)+B(s-1)=5s\\\\substitute\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\tsubstitute\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Therefore\ substituting\ A\ and\ B\ gives:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\[/tex]

[tex]From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}[/tex]

Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats cereal, there are 4 grams of fiber in one cup. Let x represent the number of cups of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week. Which inequality represents the situation if the cereal Will ate this week contained at least 30 grams of fiber?

a)5x + 4y ≥ 30

b)4x + 5y ≥ 30

c)4x + 5y ≤ 30

Answers

Answer:

A.

Step-by-step explanation:

Answer:

a. 5x + 4y ≥ 30

Step-by-step explanation:

for edge 2020:)

Will give BRAINLIEST to answer these three questions

Answers

Answer:

2.Post Office, Library, Park, Town Hall

3.2/6, 3/9, 4/12, 6/18

4. less than 1/2 in.: 1/8, 5/16

equal to 1/2 in.:8/16

more than 1/2 in.:5/8, 9/16, 15/16

Step-by-step explanation: Comment if you want the explanation.

1.post office,library park town hall (tip: draw a number line it will help you visualize it)

2.2/6,3/9,4/12,6/18 answer 2,3,4,6 (tip: divide the bottom number by 3 (which is essentially multiplying it by 1/3) gives you your answer)

4. Kiran's uncle is 54 years old. He is 8 years older than three times Kiran's age. Find Kiran's age,​

Answers

Kiran's age = x

Uncle's age = 54

Also,

Uncle's age = 8 + 3x

Now,

8 + 3x = 54

3x = 54 - 8

3x = 46

x = 46/3

x = 15.33

x = 15 (rounded)

Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?

Answers

Answer:

She has 20 items on the list

Step-by-step explanation:

Answer:

if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.

Alex has a collection of cards: 4 are black, 2 are blue, 3 are white, and 1 is brown. What is the probability that he will pick a black card twice without replacement?

Answers

There is a 40% chance each black. Add all cards and get 10. Each card is 10%. If there are 4 black cars that means there is a 40% chance.

WILL GIVE BRIANLESST

Answers

Answer:

I would say number 2

Step-by-step explanation:

hope this helped

Answer:

B.(-1,3)

you just have to count up 6 points above from where the first car is parked,once you count up 6 thats where the second car parked.

hope that helped you out:)

please mark me brainiest

find the area of the unshaded reason for these two problems​

Answers

9514 1404 393

Answer:

  a) 96 m²

  b) 26,000 ft²

Step-by-step explanation:

The area of the unshaded region is the difference between the overall area of the rectangle and the area of the shaded region. It can also be found directly using the dimensions of the unshaded region.

a) We have the height of the right triangle, but need to know its base. The Pythagorean theorem can help with that. Let the base of the triangle be represented by x. Then ...

  x² +16² = 20²

  x² = 400 -256 = 144

  x = √144 = 12

The area of the unshaded triangle is given by the formula ...

  A = (1/2)bh

  A = (1/2)(12)(16) = 96 . . . . square meters

__

b) The shaded area at upper left is a square 100 ft on a side. Its area is ...

  A = s² = (100 ft)² = 10,000 ft²

The shaded area at upper right is a triangle with base and height 120 ft and 150 ft. Its area is ...

  A = (1/2)bh = (1/2)(120 ft)(150 ft) = 9,000 ft²

The area of the overall rectangle is ...

  A = LW = (300 ft)(150 ft) = 45,000 ft²

So, the unshaded area is ...

  unshaded area = overall area - left shaded area - right shaded area

  unshaded area = 45,000 ft² -10,000 ft² -9,000 ft² = 26,000 ft²

What is the value of the expression when x=4?*


4x3 + 4x

Answers

Answer:

38

38 38 38 38 38 38 38 38okay so all you're going to do 4 * 3 + 4 * 4 what is going to give you 12 +16

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of them. Angela also paid a $5 tip. How much did she pay in total.
Write your answer as an expression.
How much did Angela pay in total?

Answers

Answer:

(j/3)+5

thats the answer

19. Which property of equality is illustrated below?
If 7+9= 11 +5 and 11 + 5 = 16, then 7+9 = 16
A. Transitive
B. Substitution
C. Reflexive
D. Symmetric

Answers

d symmetric is ur answer

What is the distance between the following points?


Answers

Answer:i got ten

Step-by-step explanation:

Answer:

é agora às vezes

Step-by-step explanation:

41.628 divid by 1,000

Answers

Answer:

41.628

Step-by-step explanation:

i dont know how but  that is what the calculator said  

Please help me answer

Answers

Answer:

No

Step-by-step explanation:

Please help what is the answer

Answers

Pretty sure 8 is the answer !!

what is 8% of 24?



im just putting this here bc it too short

Answers

1.92 is the answer hope it’s right

In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows:

X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11

a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).

Answers

Answer:

a)15 b)2.34 c)by taking sum of number of toy divide to its numberings

Step-by-step explanation:

in roman a number of toys is equal to the sum of all toys and standard deviation is obtained from formula

Name each of the points on the coordinate plane and find the distance between C and D.

Answers

Answer:

[tex]\displaystyle d = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point C(4, -5)

Point D(-3, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]:                    [tex]\displaystyle d = \sqrt{(-3-4)^2+(-5+5)^2}[/tex]Subtract/Add:                       [tex]\displaystyle d = \sqrt{(-7)^2+(0)^2}[/tex]Exponents:                           [tex]\displaystyle d = \sqrt{49+0}[/tex]Add:                                      [tex]\displaystyle d = \sqrt{49}[/tex]Evaluate:                              [tex]\displaystyle d = 7[/tex]

Which graph best represents the solution for this inequality?

Answers

Step-by-step explanation:

6|4w + 2| - 2 > 10

6|4w + 2| > 12

|4w + 2| > 2

4w + 2 > 2 or 4w + 2 < -2

4w > 0 or 4w < -4

w > 0 or w < -1.

The correct graph is the 2nd option.

Expand and simplify (x - 5)(x - 4)

Answers

Answer:

(x - 5) (x - 4)

x(x - 4) - 5(x -4)

x^2 - 4x - 5x - 20

x^2 - 9x - 20

Expand: x (x - 4) - 5 (x - 4)

Simplify: x^2 - 9x - 20

Factor the trinomial
x^2+12x+6^2

Answers

Answer:

(x+6)(x+6) or (x+6)^2

Step-by-step explanation:

factors of 36 that add up to 12 = 6

so (x+6)(x+6)

(can I get brainliest please)

Help me with this pls.

Answers

Answer:

Area of figure is 51 cm²

Step-by-step explanation:

We need to find the area of the figure given.

The figure is basically a combination of 3 rectangles.

Adding area of all the rectangles will give the area of the figure.

The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]

Area of rectangle 1:

Length = 7 cm

Width = 3 cm

The area will be:

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]

The area of rectangle 1 is 21 cm²

Area of rectangle 2

Length will be: 7-4 = 3cm

Width will be: 3 cm

The area will be:

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=3\times 3\\Area\:of\:rectangle=9 \:cm^2[/tex]

The area of rectangle 2 is 9 cm²

Area of rectangle 3

Length will be: 7cm

Width will be: 3 cm

The area will be:

[tex]Area\:of\:rectangle=Length\times Width\\Area\:of\:rectangle=7\times 3\\Area\:of\:rectangle=21 \:cm^2[/tex]

The area of rectangle 3 is 21 cm²

The total area of the figure will be:

Area of figure = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of figure = 21+9+21

Area of figure = 51 cm²

So, Area of figure is 51 cm²

What is the constant of proportionality in this relationship ???? Help fast !!!

Answers

Answer:

3.28

Step-by-step

(3,18.85)

(2,12.57)

18.85-12.57/3-2=3.28

what is 9/10 ÷ 3/5 will give brainlist

Answers

Answer:1.5

Step-by-step explanation:

Round the fraction to the nearest 1/2.
1/9

A. 0
B. one-half
C. 1

Answers

A
Simply because it cannot be 1 or 1/2 I am not sure if wrong I am sorry

Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
A. 8 – r
B. 8r
C. r + 8
D. r – 8

Answers

Answer:

I would go with r - 8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

if you subtract r by 8 then you will get the remaining minutes left on ricardo's cellphone card. Lets say r=20 so, 20-8=12. therefore, Ricardo would be able to call his friend for 12 minutes. hope this helped

SOMEONE PLZ GELP WITH NUMBER ONE.

Answers

Answer:

900

Step-by-step explanation:

Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.

total measure of the starred angles = 4 * 360 - 180

total measure = 900 degrees

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

9x^2-36x+16

A.True
B.False​

Answers

Step-by-step explanation:

9x² - 36x + 16

= (Ax - B)² = A²x² - 2ABx + B².

By Comparing Coefficients, we have:

A² = 9,

2AB = 36,

B² = 16.

It is obvious that A = 3 and B = 4.

However 2AB = 2(3)(4) = 24 which is not equal to 36.

Hence 9x² - 36x + 16 is not a perfect square trinomial.

Answer:

False

Step-by-step explanation:

The polynomial cannot be factored.

4x + 2y = 4
Is y a function of x?

Answers

Yes y is a function of x.

Rewrite the function using algebra to get this:

y = -x + 2

That forms an equation of a line whose slope is -2 and whose y-intercept is 2

what is the answer to -6x²-x+3+5x+7​

Answers

Hello!

Let's simplify step-by-step.

−6x2−x+3+5x+7

=−6x2+−x+3+5x+7

Combine Like Terms:

=−6x2+−x+3+5x+7

=(−6x2)+(−x+5x)+(3+7)

=−6x2+4x+10

Answer:=−6x2+4x+10

Thank you for asking this question!

It would be greatly appreciated if you thanked me and marked me as the brainliest!

Have an amazing day.

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