A circle and a square each have a perimeter of 160 feet. Which has the greater area and by how much

Answers

Answer 1

Answer:

[tex]The \: circle \: has \: a \: bigger \: area \: by \approx 438 \: {ft}^{2} [/tex]

Explanation:

[tex]Diameter \: of \: circle:160 \div 3.14 \approx 51 \: ft \\ Area \: of \: circle : \frac{3.14 \times {51}^{2} }{4} \approx 2038 \: {ft}^{2} \\ Sides \: of \: square:160 \div 4 = 40 \: ft \\

Area \: of \: square: \: {40}^{2} = 1600 \: {ft}^{2} \\ 2038 - 1600\approx 438 \: {ft}^{2} [/tex]

Answer 2

Final answer:

Comparing the areas of a circle and a square with the same perimeter of 160 feet, the circle has a greater area by approximately 435.75 square feet.

Explanation:

We are comparing the areas of a circle and a square which both have a perimeter of 160 feet. For the square, since the perimeter (P) is 160 feet, each side (s) will be P/4, which gives us s = 40 feet. The area of the square (Asquare) is s², so Asquare = 40² = 1600 square feet.

For the circle, the perimeter is the circumference (C), which is 160 feet. The formula for the circumference of a circle is C = 2πr, where r is the radius. So, 160 = 2πr, giving us r = 160/(2π). The area of the circle (Acircle) is πr², so Acircle = π(160/(2π))². After calculation, we find that Acircle ≈ 2035.75 square feet.

Comparing the two areas, the circle has a greater area than the square by Acircle - Asquare ≈ 2035.75 - 1600 ≈ 435.75 square feet.


Related Questions

4/5 divided by 1/4 as a mixed number

Answers

Final answer:

To divide 4/5 by 1/4, multiply by the reciprocal of the second fraction to get 16/5, which converts to the mixed number 3 1/5.

Explanation:Dividing Fractions and Conversion to Mixed Number

To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. In the case of 4/5 divided by 1/4, you would flip 1/4 to get its reciprocal, which is 4/1, and then multiply it by 4/5.

Step-by-step:

Write the problem as 4/5 × 4/1.Multiply the numerators: 4 × 4 = 16.Multiply the denominators: 5 × 1 = 5.The result of the multiplication is 16/5.To convert to a mixed number, see how many times 5 goes into 16, which is 3 times with a remainder of 1.The mixed number is 3 1/5.

Therefore, 4/5 divided by 1/4 as a mixed number is 3 1/5.

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Determine the quotient
2 3/8 / -2 1/2

Answers

Answer:

-19/20

Step-by-step explanation:

[tex]2 \frac{3}{8} \div - 2 \frac{1}{2} [/tex]

[tex] \frac{19}{8} \div - \frac{5}{2} [/tex]

Keep Change Flip

[tex] \frac{19}{8} \times - \frac{2}{5} [/tex]

[tex] - \frac{38}{40} = - \frac{19}{20} [/tex]

Mathew got 20 pencils, 3 rulers, 12 erasers,11 pens, 24 notebooks, 8 files, and 11 paper clips from a stationery shop for his brother

Answers

Answer:

89

Step-by-step explanation:He bought 89 items because 20 + 3 is 23, 23 + 12 is 35, 35 + 11 is 46, 46 + 24 is 70, and 70 + 11 is 89.

Camden owes $800 on his credit card and $750 on his rent

Answers

The total amount of money Camden owes is $1550

Explanation:

Hello! remember you have to write complete questions in order to get good and exact answers. Here the question is incomplete so I'll assume you need to know the total amount of money Camden owes. From the statement, we know two facts:

Camden owes $800 on his credit card.Camden owes $750 on his rent

Let:

x: Debt on his credit card

y: Debt on his rent

z: Total debt

Then:

[tex]z=x+y \\ \\ x=800 \\ \\ y=750 \\ \\ \\ z=800+750 \\ \\ z=1550[/tex]

So the total amount of money Camden owes is $1550.

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Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell.

Answers

98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.

Step-by-step explanation:

Given,

Cost of small cup of lemonade = $1.25

Cost of large cup of lemonade = $2.50

Total cups sold = 155

Total worth of cups = $265

Let,

x be the number of small cups sold

y be the number of large cups sold

According to given statement;

x+y=155      Eqn 1

1.25x+2.50y=265   Eqn 2

Multiplying Eqn 1 by 1.25

[tex]1.25(x+y=155)\\1.25x+1.25y=193.75\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](1.25x+2.50y)-(1.25x+1.25y)=265-193.75\\1.25x+2.50y-1.25x-1.25y=71.25\\1.25y=71.25[/tex]

Dividing both sides by 1.25

[tex]\frac{1.25y}{1.25}=\frac{71.25}{1.25}\\y=57[/tex]

Putting y=57 in Eqn 1

[tex]x+57=155\\x=155-57\\x=98[/tex]

98 small cups of lemonade and 57 large cups of lemonade were sold by Harold.

Keywords: linear equation, elimination method

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WILL MARK BRAINLIEST!!
You buy 6 pairs of socks for $4.50.
Which proportion can be used to find the cost of 9 pairs of socks?

Answers

Answer:

$6.75 for 9 socks

Step-by-step explanation:

if 6 pairs of socks is $4.50 you would divided 4.50 by 6 to find the price of one pair of socks. once you do this you find out that one pair of socks is 0.75. to find the price of 9 you multiply 0.75 by 9 and get the answer $6.75

The answer is 4.5/6 = x/9

find the measure of one interior angle of a regular undecagon (11 sided)

Answers

Answer:

147.27 degrees.

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)... And there are eleven angles... So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.

The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

we know that,

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the angles, we know that the sum of all the angles is 1620 degrees (from above)...

And there are eleven angles...

So, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.

Hence, The solution is, the measure of the interior angle of a regular 11-gon is about 147.27 degrees.

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Micah left for school with 4 boxes of pencils. Each box had 8 pencils.

At school, he gave away 4 pencils from one box.

Which number sentence below can be used to find the total number of pencils that Micah kept ?

A. 4×8-4=x

B. 3×8+4=x

C. 4×8+4=x

D. 3×8-4=x​

Answers

Answer:

A

Step-by-step explanation:

Roz started with 50 berries in her basket, and then picked another 75 berries every 15 minutes. Which representation matches this scenario?

Answers

If you need the answer in slope-intercept form, I would say y = 5x + 50

Which image is a translation of the figure shown below

Answers

Answer: image of pi

Step-by-step explanation:

It is known as 3.14

-8=p-13 how do you solve this problem

Answers

Answer:

you add -8 to 13

Step-by-step explanation:

-8+13=5

p=5

Answer: 5 = p

Step-by-step explanation: To solve the equation -8 = p - 13, notice that the variable is on the right side of the equation,

don't let this throw you off.

To solve for p, we need to get p by itself on the right side of the equation by adding 13 but if we add 13 to the right side of the equation, we also must add 13 to the left side of the equation.

On the right side of the equation, the -13 and + 13 cancel eachother out and we have p. On the left side of the equation, -8 + 13 is 5 so we have 5 = p which is the solution to our equation.

Find x (Show work to get brainliest)

(-2x + 5) + (5x + 3) = 5

Answers

(-2x + 5) + (5x + 3) = 5

3x + 8 = 5

3x = -3

x = -1

(Combine Like Terms)

(−2x+5x)+(5+3)=5 ----> 3x+8=5

Subtract 8 from both sides.

3x + 8 − 8 = 5 − 8 -------> 3x = − 3

Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{-3}{3}[/tex]

x = −1

I NEED THE ANWSER TODAY! PLEASE HELP!
Factor Completely using Grouping:
2x^3+3x^2−18x−27

Answers

Answer:- 3

Step-by-step explanation:

Tap for more steps...

x

2

(

2

x

3

)

9

(

2

x

3

)

Factor the polynomial by factoring out the greatest common factor,  

2

x

3

.

(

2

x

3

)

(

x

2

9

)

Rewrite  

9

as  

3

2

.

(

2

x

3

)

(

x

2

3

2

)

Factor.

Tap for more steps...

(

2

x

3

)

(

x

+

3

)

(

x

3

)

Answer:

(2x−3)(x+3)(x−3)

Step-by-step explanation:

m*thway factoring polynomial calculator used

The quotient of the sum of 2t and 2 and twice the cube of s

Answers

The equation according to the given verbal sentence is [tex]\frac{2 t+2}{2 s^{3}}[/tex] (after solving this [tex]\frac{t+1}{s^{3}}[/tex] ).

Step-by-step explanation:

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

       2 t + 2

twice the cube of s

      [tex]2 s^{3}[/tex]

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s  means,

             2 t + 2  divided by [tex]2 s^{3}[/tex]

Now, the equation would be [tex]\frac{2 t+2}{2 s^{3}}[/tex]

When solving this equation, we get

         [tex]\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}[/tex]

The quotient of the sum of 2t and 2 and twice the cube of s is [tex]\frac{t + 1}{s^3} [/tex].

The given parameters:

First number = 2tSecond number = 2Third number = s

The sum of 2t and 2 is written as follows;

sum = 2t + 2

The cube of s is written as follows;

cube = s³

twice the cube of s = 2s³

The quotient of the sum of 2t and 2 and twice the cube of s is calculated as follows;

[tex]= \frac{2t + 2}{2s^3} \\\\ = \frac{2(t + 1)}{2s^3}\\\\ = \frac{t + 1}{s^3} [/tex]

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ASAP plz!!!!!!!!
10 points

Answers

FHdhdhdhhdhdjdjddjjdjsjxjxjdjxjdAnswer:

Step-by-step explanation:

Answer:

Option A, 12/5

Step-by-step explanation:

If sin (theta) < 0 that means that the angle is in either quadrant 3 or 4.

Since cos or x is negative, that makes the angle limited to either 2 or 3.

The only quadrant that matches with those to is quadrant 3.

So, to find out what tan (theta) is, you need to make a graph and draw the line in quadrant 3.

Look at the attached graph

tan (theta) = opposite / adjacent

tan (theta) = -12/-5 = 12/5

Answer = Option A, 12/5

The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.

Answers

Answer:area = x^2 +15x +36

Step-by-step explanation:

--- Find each missing length to the nearest tenth. ----

Answers

Answer:

the answer missing length is 7.6 and yes i rounded it to the nearest tenth.

Step-by-step explanation:

How many times does 89 go into 249 equally

Answers

Answer:

2

Step-by-step explanation:

If you do 249/89 you will get 2.79775280899

so 89 goes into 249 2 times equally

Answer:  2

Step-by-step explanation:

If you do 249/89 you will get 2.79775280899

so 89 goes into 249 2 times equally

Complete the equation of the line through
(-6, -5) and (-4,-4).
Use exact numbers.

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)

m = [tex]\frac{-4+5}{-4+6}[/tex] = [tex]\frac{1}{2}[/tex], thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 5), then

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

Final answer:

To find the equation of the line through (-6, -5) and (-4, -4), calculate the slope and then apply the point-slope form to yield the line equation y = 1/2x - 2.

Explanation:

The question is about finding the equation of the line that passes through two given points, (-6, -5) and (-4, -4). To do this, we first need to find the slope of the line (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the points, we get m = (-4 + 5) / (-4 + 6) = 1 / 2. Next, we use the point-slope form of a linear equation, y - y1 = m(x - x1), to find the equation. Using point (-6, -5) and the slope 1/2, the equation becomes y + 5 = 1/2(x + 6). Finally, simplifying, we get y = 1/2x - 2 as the completed equation of the line.

48 guests are attending a super bowl party. Sixth-eighths of them attended the party last year. How many guests are attending the party for the first time?

Answers

Answer:

[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]

Step-by-step explanation:

[tex]Total\ guests=48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ total\ guests\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ 48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\times 48\\\\Guests\ attended\ the\ party\ last\ year=6\times 6\\\\Guests\ attended\ the\ party\ last\ year=36\\\\Guests\ attending\ the\ party\ first\ time=Total\ guests-Guests\ attended\ the\ party\ last\ year\\\\Guests\ attending\ the\ party\ first\ time=48-36\\\\[/tex]

[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]

Find the value of x. Round your answer to the nearest tenth.
ometry
3-20 - SY19-
tan 12-10
47.0
39.8
21.3
14.5

Answers

Answer:

47.0

Step-by-step explanation:

we have

[tex]tan(12^o)=\frac{10}{x}[/tex]

Solve for x

That means ----> Isolate the variable x

Multiply by x both sides

[tex]x(tan(12^o))=10[/tex]

Divide by tan(12°) both sides

[tex]x=\frac{10}{tan(12^o)}[/tex]

using a calculator

[tex]x=47.0[/tex]

Someone please help me with this question I am stuck.

Answers

Answer: vertex

Step-by-step explanation:

Answer:

Vertex. The vertex is the point where two points meet, and the point 12 is where the lines meet.

A garden has four sides that are all the same length. Each side measures x+4 units. The garden's perimeter is 112 units.

What is the value of x?

Answers

Divide the perimeter by 4 to get the length of a side:

112/4= 28

Now solve for x:

X + 4 = 28

Subtract 4 from both sides:

X = 24

Why is 4r + 5 = 3 not an algebraic expression?

Answers

4r + 5 = 3 is not an algebraic expression because expressions are basically equations but WITHOUT answers. In this equation, 3 is shown as the answer, which makes it an equation, not an expression.

Hope this helps! Please correct me if I'm wrong! :D

Final answer:

4r + 5 = 3 is not an algebraic expression because it contains an equals sign making it an equation rather than an algebraic expression. Algebraic expressions are mathematical phrases lacking an equals sign.

Explanation:

The equation 4r + 5 = 3 is not an algebraic expression because it is, in fact, an equation. The distinction between these two lies in the presence of the equals sign (=).

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators (like +, -, ×, ÷), but it does not have an equals sign. For example, 4r + 5 is an algebraic expression. However, when there is an equals sign present, as is the case in 4r + 5 = 3, the resulting mathematical phrase is an equation, which is a statement that two algebraic expressions are equal.

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Which operations would create an equivalent system of equations with opposite like terms?
3x-3y = 3
4x+ 5y = 13
The first equation can be multiplied by 5 and the second equation by 3.
The first equation can be multiplied by -4 and the second equation by -3.
The first equation can be multiplied by 4 and the second equation by -4.
The first equation can be multiplied by 3 and the second equation by 5.

Answers

The first equation can be multiplied by 5 and the second equation by 3.

3x - 3y = 3 | × 5

4x + 5y = 13 | × 3

15x - 15y = 15

12x + 15y = 39  +

________________

15x + 12x - 15y + 15y = 15 + 39

27x = 54

x = 54 : 27

x = 2

4·2 + 5y = 13

5y = 13 - 8

5y = 5

y = 5 ; 5

y = 1

Answer:

a

Step-by-step explanation:

Question 1 (10 points)

A summary of selected ledger accounts appear below for S. Ball for the current calendar year.

Answer questions 1 through 4 based on this information.

S. Ball. Capital

S Ball. Withdrawals

12/31 6,500 1 1 27,000

331 2,000 1231 6.000

12 31 4.250

10/31 3,000

S. Bo

123

1.000

12 22

Income Summary

1231 12.750 1231 17,000

12 31 4.250

1. What was the total amount of withdrawals for the year?

A)$6500

B)$1000

C)"O$3000

D)$6000

Answers

Answer:

Question 1  10 / 10 points

A summary of selected ledger accounts appear below for S. Ball for the current calendar year.

Answer questions 1 through 4 based on this information.

 

1. What was the total amount of withdrawals for the year?  

$6000

Question 2

2.What was the net income?

$4250

Question 3

 

3.What was the total revenue?

$17,000

4.What were the total expenses?

$12.750

5.

__2__  

Unearned Revenue

__5__  

Brandon Jones, Capital

__1__  

Cash

__3__  

Equipment

__4__  

Mortgage

1.  

Current Assets

2.  

Current Liabilities

3.  

Fixed Assets

4.  

Long-term Liability

5.  

Equity

Question 6  

At the end of the closing process, Income Summary will hold a balance.

Question options:

b) False

Step-by-step explanation:

I just took this quiz and got a 100%

Final answer:

The total amount of withdrawals for the year is $7,250.

Explanation:

The total amount of withdrawals for the year can be found by adding up the amounts in the S. Ball Withdrawals ledger account. Looking at the provided information, we can see that the withdrawals were as follows: $2,000 on 10/31, $4,250 on 12/31, and $1,000 on 12/22. Adding these amounts together, the total amount of withdrawals for the year is $7,250.

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Wen Ti is on the outer edge of a carousel with a radius of 4.6ft. How far does she travel in one spin of the carousel in terms of π

A. 9.2π
B. 5π
C. 21.16
D. 4.6π​

Answers

Final answer:

Wen Ti travels 9.2π feet in one complete spin on the outer edge of the carousel, which has a radius of 4.6ft. The correct option is A.

Explanation:

The question asks how far Wen Ti travels in one spin of the carousel, if she is on the outer edge with a radius of 4.6ft. To find this distance, we use the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. Plugging in the given radius of 4.6ft, we find that Wen Ti travels 2π(4.6) = 9.2π feet in one spin of the carousel.

(4x+7)=(6x-63) whats value of x

Answers

Answer:

35

Step-by-step explanation:

6x-4x= 2x

+63+7=70

70/2=35

Answer:

x = 35

Step-by-step explanation:

70 = 2x

x = 35

In a week Mike ran 8 km farther than Bill, while Pete ran
1 km less than 3 times as far as Bill. If Pete ran 15 km
farther than Mike, how many kilometers did Bill run?

Answers

Answer:

12 km

Step-by-step explanation:

m = b + 8

p = 3b - 1

p = m + 15

p = m + 15....and m = b + 8....so we  are gonna sub

p = b + 8 + 15

p = b + 23

b + 23 = 3b - 1

23 + 1 = 3b - b

24 = 2b

24/2 = b

b = 12 <==== Bill ran 12 km

m = b + 8

m = 12 + 8

m = 20 km....this is what mike ran

p = m + 15

p = 20 + 15

p = 35 km....this is what pete ran

Bill ran a distance of 12 kilometers. This was determined through algebraic calculations, taking into account the given information about the distances run by Mike, Pete, and the relationships between their distances.

Let's use algebra to solve this problem. We'll denote the distances run by each person:Bill's distance: B kmMike's distance: B + 8 km (Mike ran 8 km farther than Bill)Pete's distance: 3B - 1 km (Pete ran 1 km less than 3 times as far as Bill)Now, we're given that Pete ran 15 km farther than Mike:Pete's distance (3B - 1) = Mike's distance (B + 8) + 15Now, let's set up this equation:3B - 1 = B + 8 + 15Now, solve for B:3B - 1 = B + 23Subtract B from both sides:2B - 1 = 23Add 1 to both sides:2B = 24Now, divide by 2:B = 24 / 2B = 12So, Bill ran 12 km.

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What is a equivalent expression of -3(2b-7)

Answers

Answer:

-6b+21

Step-by-step explanation:

Other Questions
Pure gold is defined as having 24 carats. When mixed in an alloy, the carats of gold are given as a percentage of this value. For example, a piece of jewelry made with 50% gold has 12 carats. State the purity of this piece of red gold jewelry in carats. [tex]\lim_{x\to \infty} \frac{\sqrt{9x^{2} +x+1} -\sqrt{4x^{2} +2x+1} }{x+1}[/tex] what is martin luther king jr child name There are two algorithms called Alg1 and Alg2 for a problem of size n. Alg1 runs in n2 microseconds and Alg2 runs in 100n log n microseconds. Alg1 can be implemented using 4 hours of programmer time and needs 2 minutes of CPU time. On the other hand, Alg2 requires 15 hours of programmer time and 6 minutes of CPU time. 1. If programmers are paid 20 dollars per hour and CPU time costs 50 dollars per minute, how many times must a problem instance of size 500 be solved using Alg2 in order to justify its development cost? 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But Grey Beaver laughed loudly, and slapped his thighs, and told the happening to all the rest of the camp, till everybody was laughing uproariously. But White Fang sat on his haunches and ki-yi'd and ki-yi'd, a forlorn and pitiable little figure in the midst of the man-animals. What is revealed about White Fang through his interaction with the fire? 1.his lack of understanding of human tools 2.his cleverness at gaining the humans affection 3.his insensitivity to Kiches feelings 4.his desire to protect Kiche from danger A large film production company merges with a popular sound processing studio, resulting in the formation of a new company out of the two previously independent firms. This is most likely an example of a _____. A. market extension merger B. conglomerate merger C. vertical merger D. horizontal merger The core idea that both Franklin Roosevelt's New Deal and policies from the Progressive Era shared wasOA. the government has a responsibility to regulate the banking industry.OB. the government should encourage unions and discourage business culture.OC. the government should give aid directly to citizens instead of funding charities.OD. the government has a responsibility to protect the well-being of its citizens. a 4.0 L sample of gas at 1.4 atm is heated from 298ck to 310 k. the pressure of the gas increases to 2.1 atm. what is the new volume of the gas ? In the first analysis all of the F1 flies from the students crosses have the identical phenotype with respect to body color and wing shape but the F2 flies have four different phenotypes describe how fetilization contributes to this genetic variability? There are 100 bags each with 100 coins, but only one of these bags has gold coins in it. The gold coin has weight of 1.01 grams and the other coins has weight of 1 gram. We are given a digital scale, but we can only use it once. How can we identify the bag of gold coins? Pls help!!!!! 60 points Activity sequencing involves reviewing the activity list and attributes, project scope statement, and milestone list to determine the relationships or dependencies between activities.a. Trueb. False A comparative financial statement:a. Places the balance sheet, the income statement, and the statement of cash flows side-by-side in order to compare the resultsb. Places two or more years of a financial statement side-by-side in order to compare resultsc. Places the financial statements of two or more companies side-by-side in order to compare resultsd. Places the dollar amounts next to the percentage amounts of a given year for the income statement