The circumference of a circle is 5piem. What is the area, in square meters? Express your answer in terms of pie​

Answers

Answer 1

The area of circle with circumference 5πm is 6.25π square meters.

What is circumference and area of a circle?

The measurement of the circle's perimeter, also known as the circle's boundary, is called its circumference.

Circumference of circle(C)= 2πr

The area of a circle is the space encircled or encompassed by its circumference. It has a square unit of measurement.

Area of circle(A)= πr^2

We are given the circumference of circle(C)= 5π

This implies that 2πr= 5π because C= 2πr

On solving the equation,

2πr= 5π

r=5/2

=2.5

Now, area of circle(A)= πr^2

So, A= π (2.5)^2

A= 6.25π square meters

Hence, The area of circle with circumference 5πm is 6.25π square meters.

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Related Questions

10. Find a third number so that the three numbers form a right triangle:
i) 9,41, _
ii) 13,85, _

Answers

When dealing with right triangles the Pythagorean theorem is the way to go, 9^2+b^2=41^2. 81+b^2=1681 b=40
13^2+b^2=85^2 169+b^2=7056 b=84

Someone please help me !

Answers

Answer:

x² + 6² = 17²

6² + x² = 17²

Step-by-step explanation:

Pythagoras Theorem defines the equation of opposite² + adjacent² = hypotenuse². To make it simple, it's basically base² + height² = slope². Therefore:

[tex] \displaystyle{ {x}^{2} + {6}^{2} = {17}^{2} }[/tex]

Or you can also form as

[tex] \displaystyle{ {6}^{2} + {x}^{2} = {17}^{2} }[/tex]

Therefore, there are two correct answers here.

Asher is painting a wall on a storage shed. He knows one can of paint covers an area of 24 square feet. Asher uses a meter stick to measure the wall, as shown. What is the fewest number of cans of paint Asher needs to paint the wall?

Answers

Therefore , the solution of the given pentagon is the wall has a square footage of 80.7293. Asher requires four cans in total.

A pentagon is what?

A polygon with five sides and five angles is called a pentagon. Penta and Gonia, two words that each denote five angles, are the components of the word "pentagon." The shape is created when the sides of such a pentagon come together at their ends.

Here,

Given that a storage shed's wall has a pentagonal shape.

A pentagon's surface can be separated into two shapes. The first shape is a rectangle, while the second is a triangle.

The rectangular shape measures 1+1+1 = 3 meters in length.

(1 + 1) = 2 metres is the width.

3 x 2 = 6 square meters make up the space of the rectangle.

Three meters make up the triangle's base.

The triangle measures 1 meter in height.

The triangle's area is 1/2 base, 1/2 height, or 1/2 x 3-1, or 3/2 square meters.

The pentagon's total area is 7.5 square meters, or 6 + 3/2 square meters.

10.7639 square feet are equal to 1 square meter.

(7.5 x 10.7639) square feet are equal to 7.5 square meters.

= 80.7293 square meters

24 square feet are covered by one can of paint.

He requires 80.7293/24 = 3.36 square feet in order to cover it.

Therefore, he requires a minimum of 4 cans oil paint.

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x+y=3
x^2+y^2=17
Solve the simultaneous equations

Answers

The possible solution set for the system is (- 1, 4) and (4, - 1).

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Kaj signed up for a streaming music service where there's a fixed cost for monthly
membership and a cost per song downloaded. Her total cost per month is given by
the equation c = 1.5x + 6.99, where X represents the number of songs she
downloads and c represents the total cost, in dollars and cents. What could the
number 1.5 represent in the equation?

Answers

In the equation for total cost c = 1.5x + 6.99, 1.5 represents the cost of per song downloaded.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation for total cost per month is c = 1.5x + 6.99.

Where x represents the number of songs Kaj downloads and c represents the total cost, in dollars and cents.

So, c and x are variable components of the equation.

There are only two fixed components in the equation 1.5 and 6.99.

Since number of songs downloaded x is multiplied by 1.5, so 1.5 is the cost of per song downloaded.

Hence, 6.99 becomes the fixed monthly membership cost of the music service.

Therefore, 1.5 is cost of per song downloaded.

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If f(x) is divided by x-2 what is the remainder?

Answers

Answer: By the Remainder Theorem, the remainder when f(x) is divided by x-2 is f(2)

Step-by-step explanation:

Expand 3(t - 2). (Simplify your answer.)

Answers

Answer: it’s 3t - 6

But here’s how I got that

Step-by-step explanation:

Which of the following is commutative for rational numbers Class 8?subtraction and divisionmultiplication and divisionaddition and subtractionaddition and multiplication

Answers

subtraction addition  is commutative for rational numbers Class 8

LHS means left-hand side of the equation and RHS means right-hand side of the equation

3c(-5) = (-5)3c

The LHS of the above expression can also be written as 3 * c * (-1) * 5

The RHS of the above expression can also be written as (-1) * 5 * 3 * c

Since, this expression involved multiplication, it will definitely represent a multiplicative property. Since the order of the numbers that are being multiplied has been changed between LHS and RHS, and it is yielding the same result, it indicates that this is the commutative property of multiplication. This property states that a group of numbers can be multiplied in any order. Hence, the answer is C.

8+3.4=3.4+8

In the above, the order of the numbers being added has been changed across RHS and LHS, but is yielding the same result, it is representing the commutative property of addition. This property states that a group of numbers can be added in any order. Hence, the correct answer is C.

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Two sides of a triangle each measure 8 inches. Maria says the triangle must be isosceles. Is maria correct? explain.

Answers

Maria is not correct. Just because two sides of a triangle measure 8 inches, it does not mean that the triangle is isosceles.

An isosceles triangle is a triangle in which two sides are congruent, meaning they have the same length. However, just because two sides of a triangle have the same length, it does not necessarily mean that the triangle is isosceles.

There could be a third side with a different length. Therefore, it is a possibility that the third side of the triangle is not 8 inches, hence the triangle is not isosceles.

To confirm if a triangle is isosceles, we must measure all three sides and if two sides are congruent then it's an isosceles triangle.

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plssss i’ll give points?
d
d
d
d
d
d

d
d
dd
d
d
d
d

Answers

A line intersects the point and is perpendicular to y=(x / 4)-2. (4,-1). y=15-4 x is the equation for this perpendicular line.

What is the perpendicular line of the equation?

In order to determine the equation for the line perpendicular to the line [tex]$y=\frac{x}{4}-2$[/tex]passing through the point (4,-1)

The slope-intercept version of the equation for the line is [tex]$y=\frac{x}{4}-2$[/tex].

Inversely, the perpendicular line has a negative slope of m=-4.

Consequently, the perpendicular line's equation is y=-4 x+a.

Using the notion that the line should pass through the specified location, we can use the formula [tex]-1=(-4) \cdot(4)+a[/tex] to determine a.

Thus, a=15. The line's equation is therefore y=15-4 x.

Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Many perpendicular lines can be seen in the actual world. Examples include the edges of a set square, a clock's arms during particular times of day, the corners of a blackboard, a window, and the Red Cross emblem.

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Which of the following statements is true?

Computers depend on your input.
Computers understand emotions.
AI is very expensive and is used only by businesses.
Modern computers use more energy than humans.

Answers

Answer:

I think it's clear that it's A. Computers depend of you input

If two lines are perpendicular, how many right angles are formed? Why?

Answers

Answer:

Hence we can see that, when two lines are perpendicular to each other, they form 4 right angles (90 degrees).

It would be four right angles because they all intersect with each other.

Does standard form have to be between 1 and 10?

Answers

No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.

THE STANDARD FORM

Standard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.

For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).

It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.

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what is -3(-x-4) + 12x

Answers

Answer:

15x + 12

Step-by-step explanation:

-3(-x-4) + 12x

3x + 12 +12x

15x + 12

We can't simplify anymore, so the answer is 15x + 12

On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass

Answers

Answer:

50%

Step-by-step explanation:

Divide the number of glass beads by the total number of beads:

75 glass beads / 150 total beads =

75 glass beads / 150 beads =

75/150 =

1/2 =

0.5 =

0.5 * 100% =  ==> 100% = 1

50%

Convert this equation into standard form

Answers

The equation into standard form is x = 4

How to convert the equation into standard form

From the question, we have the following parameters that can be used in our computation:

0 = x - 4

A linear equation in standard form is represented as

Ax + By = C

So, we have

0 = x - 4

Rewrite as

x - 4 = 0

Add 4 to all sides

x = 4

hence, the equation is x = 4

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It takes approximately 3.7*10^4 hours for the light in Proxima Centauri, the next closest star to our son, to reach us from there. The speed of light is 6.71 *10^8 miles per hour. What is the distance from there to earth? Given distance = rate x time. Express your answer in scientific notation.

Answers

The distance from here to earth is 2.48 x 10^13 miles.

What is the distance?

Scientific notation is used compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 3 x 10² is equivalent to 300.

Distance is the product of rate and time.

Distance = rate x time.

( 3.7*10^4) x (6.71*10^8)

(3.7 x 6.7) x 10^[4 + 8]

24.827 x 10^12

2.48 x 10^13 miles

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what is the exact length of third side

Answers

Answer:

Step-by-step explanation:

The sum of the squares of the shorter sides is equal to the square of hypotenuse!

How do you multiply integers in 7th grade?

Answers

To begin, determine the absolute value of each integer. After that, multiply or compute the product of the absolute numbers. Finally, identify the final answer's sign. According to the rule, if the signs of the two numbers vary, the final result will be negative.

What is integer?

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule. A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts. The set of whole numbers and their inverses is known as the integers. The set of integers does not include fractions or decimals.

Here,

Determine the absolute value of each number first. After that, multiply or compute the absolute number product. Finally, determine the sign of the final answer. If the signs of the two numbers differ, the final result will be negative, according to the rule.

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solve the compound inequality n+2≤−5 and n+6≥−6

Answers

Answer:

-12<=n<=-7

Step-by-step explanation:

A rectangle playground has a width of 540 feet and

Answers

i think you’ve missed off most of the question

40
24
Solve for x.
60
X
x = [?]
Enter the number that belongs in the green box.

Answers

On solving the provided question we can say that the value of x is in parallel line is  equal to 36.

Example of a parallel line.

Real-world examples of parallel lines include railroad tracks, sidewalk margins, street markings, zebra crossings, the surfaces of pineapple and strawberries, stairs, railings, etc. Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B.

All three line are parallel to each other. so, that ratio of 40/24 is equal to 60/x.

40/24 GO/x

x = (60 24)/40

x=36

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A ratio of 4 to 5 may be written as all of the following except:
4:5
4/5
8/10
5/4
16/20

Answers

Answer:

5/4

Step-by-step explanation:

A ratio can be written with a colon or as a fraction. Fractions can also be simplified further into the desired ratio.

4 to 5 can be written as 4:5.4 to 5 can also be written as 4/5 or [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{8}{10}[/tex] because when 8 and 10 are divided by 2 you get [tex]\frac{4}{5}[/tex].4 to 5 can also be written as [tex]\frac{16}{20}[/tex] because when 16 and 20 are divided by 4 you get [tex]\frac{4}{5}[/tex].4 to 5 cannot be written as 5/4 because [tex]\frac{5}{4} or 5:4[/tex] is 5 to 4 NOT 4 to 5. Additionally, the complex fractions above cannot be simplified into 5/4.

Please let me know if this helped!!!

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? if so, how many such positive integers can you find? if not, explain why not.

Answers

To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

A perfect square is what echo number?

If the square root of an echo number is a natural number, the echo number has a perfect square. We discovered that echo number 202320232023202320232023  is a perfect square after a few iterations:

√202320232023202320232023 = 449800213454.

The perfect square of the integer 449800213454.1 is the echo number 202320232023202320232023.

Therefore,To get the echo of a positive integer, we write it twice in a row without a space. The echo number 202320232023202320232023  is the perfect square of 449800213454.

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Imma need some help here

Answers

Answer:

no it is not a solution

Step-by-step explanation:

to determine if (- 5, 4 ) is a solution to the system, substitute the x- coordinate x = - 5 into the right side of both equations and if the value obtained is equal to the y- coordinate y = 4 then it is a solution.

Note that this must be true for both equations

y = 3(- 5) + 19 = - 15 + 19 = 4 ← True

y = - 2(- 5) - 7 = 10 - 7 = 3 ≠ 4 ← False

thus (- 5, 4 ) is not a solution to the system of equations.

Can someone help me please? thank you.

Answers

since these are alternate exterior angles, they equal each other. so you set x+10=4x-20 and solve. you add 20 to both sides, subtract x from the left side and end up dividing 30 by 3 which gets you 10. now this is only the first step as you know x equals 10 but the angle does not equal 10. now you know x = 10 and you can substitute it into the angles separately. so you do (10)+10 to get one angle and get 20 degrees. then you do 4(10)-20 and you get 20 degrees.

x=10
measure of angle x+10=20
measure of angle 4x-20=20

hope this helps

Find the value of X………….

Answers

The bases of a trapezium are parallel to each other.

The line x is parallel in this trapezium.

Hence,

Given two sides

If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)

I think you should provide extra information for correct answer.

that the angles etc.

Find the standard form equation of a circle given a center of (7, 14) and a point on the circle of (4, 15).

Answers

This is the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

What is the standard form of equation?

The standard form equation of a circle is [tex](x - h)^{2}[/tex] + [tex](y - k)^{2}[/tex] = [tex]r^{2}[/tex], where (h, k) is the center of the circle and r is the radius.

Given the center of the circle as (7, 14) and a point on the circle as (4, 15), we can use the distance formula to find the radius:

r = [tex]\sqrt{(4 - 7)^{2} + (15 - 14)^{2} }[/tex] =  [tex]\sqrt{(-3)^{2} + (1)^{2} }[/tex]= [tex]\sqrt{9 + 1}[/tex] = [tex]\sqrt{10}[/tex]

So the standard form equation of the circle is:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = [tex]\sqrt{(10)^{2} }[/tex]

Which can be written as:

[tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

So the standard form equation of the circle is [tex](x - 7)^{2}[/tex] + [tex](y - 14)^{2}[/tex] = 10

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Help please for this geo

Answers

Using the indirect measurement, the height of pole is obtained to be 21 ft.

What is indirect measurement?

Using various measurements to determine the required measurement is known as indirect measurement.

Height of the fire hydrant, hf = 3ft

Height of the shadow of the fire hydrant, h'f = 4 ft

Height of the pole, hp = x

Height of the shadow of the pole, h'p = 28 ft

Both the shadows are casted at the same time, i.e. 4 pm.

So, use the method of indirect measurement -

hf/h'f = hp/h'p

3/4 = x/28

x = (3 × 28)/4

x = 84/4

x = 21

Therefore, the height of pole hp = 21 ft.

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Joseph has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $42.05? Round to the nearest cent.

Answers

The total cost of good will equals to $33.64 after considering the 20% discount he had at the pharmacy.

What is a loyalty card?

A loyalty card is an identity card issued by a retailer to its customers as a form of consumer incentive scheme in which credits are accumulated for future discounts with each transaction.

Now, we will have to calculate the total cost of all the items he wants to buy after considering the 20% discount.

First, we will calculate the discounted amount:

= 20% * $42.05

= $8.41

Second, we will calculate the new amount of cost:

= $42.05 - $8.41

= $33.64

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Essay on duties and responsibilities of A Timekeeper In the paragraph box below, type a sentence following the sentence pattern provided.subject-verb-direct object Find the limit of the sequence if it converges; otherwise indicate divergence.an= (ln n)^5/n after 75 years in business, abc corp. has decided it is time to overhaul its compensation system. what advice would you offer its hr manager? You are on the staff of Camden Inc. The CFO believes project acceptance should be based on the NPV, but Steve Camden, the president, insists that no project should be accepted unless its IRR exceeds the project's risk-adjusted WACC. Now you must make a recommendation on a project that has a cost of $15,000 and two cash flows: $110,000 at the end of Year 1 and $100,000 at the end of Year 2. The president and the CFO both agree that the appropriate WACC for this project is 10%. At 10%, the NPV is $2,355.37, but you find two IRRs, one at 6.33% and one at 527%, and a MIRr of 11.32%. Which of the following statements best describes your optimal recommendation, i.e., the analysis and recommendation is best for the company and least likely to get you in trouble with either the CFO or the president?a. You should recommend that the project be rejected because its NPV is negative and its IRR is less than the WACC.b. You should recommend that the project be rejected because, although its NPV is positive, it has an IRR that is less than the WACC.c. You should recommen that the project be accepted because (1) its NPV is positive and (2) although it has two IRRs, in this case it would be better to focus on the MIRR, which exceeds the WACC. You should explain this to the president and tell him that the firm's value will increase if the project is accepted.d. You should recommend that the project be rejected. Although its NPV is positive it has two IRRs, onoe of which is less than the WACC, which indicates that the firm's value will decline if the project is accepted.e. You should recommend that the project be rejected because, although its NPV is positive, its MIRR is less than the WACC, and that indicates that the firm's value will decline if it is accepted. if a firm's expected sales are $248,000 and its break-even sales are $189,000, the margin of safety in dollars is: multiple choice $189,000. $59,000. $437,000. $23,900. $248,000. a table that is in 1nf and contains no partial dependencies is said to be in . question 8 options: a) 1nf b) 3nf c) 4nf d) 2nf Answer the following questions a Find A b 3 whose eigenvalues are 1 and 4, and whose eigenvectors are *> respectively b Find B whose eigenvalues are 1 and 3 John is a 16yo boy who presents to the er after hurting his knee in a football game. he described twisting his knee and then being unable to extend it completely. john tells the clinician that he heard a pop when the injury occurred and has been experiencing localized pain. the clinician suspects a meniscal tear. which test would be most appropriate to assess for the presence of a meniscal tear? if the universe contains a cosmological constant with density parameter 0 = 0.7, would you expect it to significantly affect the dynamics of our galaxys halo? indicate four roles that social media could play in a Democratic society moses maimonides is considered to be an important troubador.T/F Potassium metal reacts with chlorine gas to form solid potassium chloride. Answer the following:Write a balanced chemical equation (include states of matter)Classify the type of reaction as combination, decomposition, single replacement, double replacement, or combustionIf you initially started with 78 g of potassium and 71 grams of chlorine then determine the mass of potassium chloride produced. which wavelength of light has the lowest energy? a. 680 x 10-7 m b. 1 x 1012 m c. 1 x 103 m d. 450 x 10-7 m NEED HELP ASAP PLEASE! The assembly is made of the slender rods that have a mass per unit length of 7 kg/m. Determine the mass moment of inertia of the assembly about an axis perpendicular to the page and passing through point O. Using the table below, determine whether each of the following solutions will be saturated or unsaturated at 20C. If the solution is not saturated, determine how much more solute would need to be added to the solution to make it saturated.Solubility (g/100. g H2O)Substance20C50CKCl3443NaNO388110C12H22O11 (sugar)204260A.25 g of KCl in 100. g of H2OB.11 g of NaNO3 in 25 g of H2OC.400. g of sugar in 125 g of H2O You earn $1,300 working at a summer job. You decide to put it into an account and leave it there for four years while you are in college. The principal wearn 1. 5% simple interest. How much will you have in your account at the end of four years?$1200$1. 410$137851. 460 compute the mass of kcl needed to prepare 1000 ml of a 1.50 m solution. Two trains depart from City Center in opposite directions. Train A heads west at 60 mi. /hr. Train B heads east at 75 mi. /hr