How do you find the max or min of a function?

Answers

Answer 1

Answer:

If parabolas open down, then their vertices are at a maximum point, whereas if parabolas open up, their vertices are at a minimum point.

I hope this was the answer you were looking for, and as always, I am joyous to assist anyone at any time.

Answer 2
Final answer:

To find the max/min of a function, find where the function's first derivative is zero. Check those points with the second derivative: a positive value indicates a minimum and a negative value indicates a maximum.

Explanation:

To find the maximum or minimum of a function, you should first understand that these points occur where the derivative of the function is zero, which corresponds to the points with a flat tangent line (no slope). To derive this, differentiate the function and mark all the points where the derivative equals zero. These are potential maximum or minimum points, also known as extrema.

However, it's also important to note that a zero derivative does not always mean a maximum or minimum is present. To confirm this, you need to perform the second-derivative test. If after differentiating the first derivative you get a positive value, the original function has a minimum at that point. If it's negative, the function has a maximum.

For example, let's take the function f(x) = x². The derivative f'(x) = 2x, and setting this to zero gives us x = 0 as the only point whose derivative equals zero. Further, the second derivative, f''(x), equals 2, which is positive, indicating a minimum occurs at x = 0.

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Related Questions

Find the height of a square pyramid with volume 37.3 ft3 and dimensions of base 4 ft by 4 ft. Please help!

Answers

[tex]\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{4\times 4}{16}\\ V=37.3 \end{cases}\implies 37.3=\cfrac{1}{3}(16)h\implies 111.9=16h \\\\\\ \cfrac{111.9}{16}=h\implies 6.99375=h[/tex]

Answer:

6.99

Step-by-step explanation:

To find the height use the formula 3*V/b squared

So plug the numbers you have which is the base and volume

3*37.3/4 squared

Now solve:

4 squared = 16

3*37.3 = 111.9

111.9/16 = 6.99375

6.99375 can be rounded down to 6.99

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $80 million after 4 years, as shown in the graph

Answers

Final answer:

The question revolves around understanding the concepts of fixed costs, marginal costs, and economies of scale in the context of a computer manufacturing company. The company's ability to make substantial profits over a period of four years marks an effective management of these costs and leveraging economies of scale.

Explanation:

The computer company's scenario primarily involves understanding the concept of fixed costs and marginal costs in a business context. The fixed cost noted here is $250, which remains constant irrespective of the number of computers produced. The marginal cost, on the other hand, is variable depending on the volume of production.

For example, the company's marginal cost for producing computers is $700 for the first one, $250 for the second, and so on. The total cost is obtained by adding the fixed cost and the total variable (marginal) costs. Understanding these costs is critically important for the company to make decisions about pricing its products to achieve desired profit margins.

It means that if the company managed to make profits of $80 million after 4 years, they have effectively managed their fixed and variable costs and priced their computers profitably. In this example, by leveraging the economies of scale, that is, an advantage that companies gain when production becomes efficient with the increasing scale of output, the company has managed to reduce the average cost of production and increase profits.

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using the quadradic formula to solve x^2=5-x, what are the values of x

Answers

Answer:

x1 = 2.79129, x2 = 1.79129

Step-by-step explanation:

x^2-5-x

x^2-5+x=0

x^2+x-5=0

-1+-square root od=f 1^2 - 4x1x(-5) / 2x1  = -1+- square root of 21 (add numbers together) / 2

then solve the formula with a plus sign instead of +- then and solve the formula with a - this time and you should get x1 = 2.79129, x2 = 1.79129, or -1 +square root of 21 (add numbers together) / 2 and -1 - square root of 21 (add numbers together) / 2

For this case we must solve the following equation:

[tex]x ^ 2 = 5-x[/tex]

By manipulating algebraically we have:

[tex]x ^ 2 + x-5 = 0[/tex]

The quadratic formula is given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

We have to:

[tex]a = 1\\b = 1\\c = -5[/tex]

Substituting we have:

[tex]x = \frac {-1 \pm \sqrt {1 ^ 2-4 (1) (- 5)}} {2 (1)}\\x = \frac {-1 \pm \sqrt {1 + 20}} {2}\\x = \frac {-1 \pm \sqrt {21}} {2}[/tex]

So, we have two roots:

[tex]x_ {1} = \frac {-1+ \sqrt {21}} {2} = 1,7913\\x_ {2} = \frac {-1- \sqrt {21}} {2} = - 2.7913[/tex]

Answer:

[tex]x_ {1} = \frac {-1+ \sqrt {21}} {2}\\x_ {2} = \frac {-1- \sqrt {21}} {2}[/tex]

Pleassssssse help me with number 3

Answers

Answer:

could it be letter H? please lmk

y>1 and y>x on a graph

Answers

So,

[tex]y>1\wedge y>x[/tex]

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

Please someone help me

Answers

Although every translation can verify congruence you can see in the question there is a key word... “sliding”. Sliding often refers to a translation as translation is basically a slide. So your best choice would be B) Translation! Brainliest me pleeeaaaaassse!

At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?

Answers

Answer with step-by-step explanation:

We are given that at one farmer’s market, bananas cost $0.80 per pound while at another market, bananas are sold in 5 pound bags for $4.50 per bag.

We are to explain how to find the better buy.

For the first market, the rate of bananas is given per pound but for the other market, the rate is given for a 5 pound bag so we will find the rate of bananas per pound to compare the rates of both markets.

One pound of bananas at 2nd market = 4.50/5 = $0.9

Therefore, getting bananas from the first market at $0.80 per pound is a better buy.

Answer: A

Step-by-step explanation:on My quiz I got it right

What is the height of a triangle with an area of 6.72 square meters and a base of 3.2 meters?​

Answers

Answer:

4.2 meters.

Step-by-step explanation:

Area = 1/2 * base * height.

6.72 = 1/2 * 3.2 * h

h = 6.72 / 1.6

= 4.2 m.

Answer:

4.2 meters

Step-by-step explanation:

The height of a triangle with an area of 6.72 square meters and a base of 3.2 meters is 4.2 meters.

6.72 = 1/2 * 3.2 * h

Find the slope of the line that passes through the points (2,-5) and (-2,3) PLEASE ANSWER

Answers

The slope of the line is the change in the Y values over the change in X values.

Using the given points (2,-5) and (-2,3)

The Y values are -5 and 3 and the X values are 2 and -2.

The slope = (3 - (-5)) / -2 - 2) = 8/-4 = -2

The slope is -2

Javier used the expression below to represent his score in a game of mini-golf.

3x + x + 5 – 2x

If he simplifies the expression, which statements are true about the parts of the simplified expression? Check all that apply.

1-The constant is 2.
2-The coefficient is 2.
3-The constant is 5.
4-The coefficient is 5.
5-There are two variables.
6-There are two terms.

Answers

Answer:  The correct options are

(2) The coefficient is 2.

(3) The constant is 5.

(6) There are two terms.

Step-by-step explanation:  Given that Javier used the expression below to represent his score in a game of mini-golf :

[tex]E=3x+x+5-2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to select the correct statements about the parts of the simplified expression if Javier simplifies the expression.

The simplification of expression (i) is as follows :

[tex]E\\\\=3x+x+5-2x\\\\=(3+1-2)x+5\\\\=2x+5.[/tex]

Therefore, we get

the constant term is 5,

the coefficient of x is 2

and

There are two terms.

Thus, options (2), (3) and (6) are correct.

Answer:

think its 2 3 and 6

Step-by-step explanation:

sorry if im late

Which of the following is not a service offered by public health programs?

Answers

Answer:

The answer is B) Medical Research

Step-by-step explanation:

Medical research is something typically done by private companies.

Answer: B. Medical research.

Step-by-step explanation: Public Health Programs: the types of public health programs that address STIs are: Prevention education, testing and counseling, and diagnosis and treatment.

:)

Simplify the imaginary number sqr -75

Answers

Answer:

5i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-75}[/tex]

= [tex]\sqrt{25(3)(-1)}[/tex]

= [tex]\sqrt{25}[/tex]  × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]

= 5 × [tex]\sqrt{3}[/tex] × i

= 5i[tex]\sqrt{3}[/tex]

Arnold invested $64,000, some at 5.5% interest and the rest at 9%. How much did he invest at each rate if he received $4,500 in interest in one year?

Answers

Answer:

The amount invested at 5.5% was $36,000 and the amount invested at 9% was $28,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x -----> the amount invested at 5.5%

(64,000-x) -----> the amount invested at 9%

in this problem we have

[tex]t=1\ years\\I=\$4,500\\ P=\$64,000\\r1=0.055\\P1=\$x\\P2=\$64,000-\$x\\r2=0.09[/tex]

so

[tex]I=P1(r1t)+P2(r2t)[/tex]

substitute the given values

[tex]4,500=x(0.055*1)+(64,000-x)(0.09*1)[/tex]

[tex]4,500=0.055x+5,760-0.09x[/tex]

[tex]0.09x-0.055x=5760-4,500[/tex]

[tex]0.035x=1,260[/tex]

[tex]x=\$36,000[/tex]

[tex]64,000-x=64,000-36,000=\$28,000[/tex]

therefore

The amount invested at 5.5% was $36,000 and the amount invested at 9% was $28,000

Find the area of a triangle with legs that are: 15 mm, 10 mm, and 20 mm.

Answers

Answer:

Area = [tex]\frac{75}{4} \sqrt{15} sq mm[/tex]

Step-by-step explanation:

Here we are given with all the sides of the triangle , and we are asked to find the area of it. we will use Heron's Formula to find the area. The formula is as under

Area [tex]= \sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Where [tex]s= \frac{a+b+c}{2}[/tex]

Where a , b and c are the three sides of the triangle

a=15 , b=10 and c=20

Substituting those values in the two formula one by one we get

[tex]s=\frac{15+10+20}{2}[/tex]

[tex]s=\frac{45}{2}[/tex]

now putting this value of s in main formula we get

Area= [tex]\sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45}{2}-15) \times (\frac{45}{2}-10) \times (\frac{45}{2}-20)}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45-30}{2}) \times (\frac{45-20}{2}-) \times (\frac{45-40}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{25}{2}) \times (\frac{5}{2})}[/tex]

Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{20}{2}-) \times (\frac{5}{2})}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]

Area = [tex]\frac{1}{4} \sqrt{9 \times 5 \times 5 \times 3 \times 25 \times 5}[/tex]

Area = [tex]\frac{3\times 5 \times 5}{4} \sqrt{3 \times5}[/tex]

Area = [tex]\frac{75}{4} \sqrt{15}[/tex]

The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]

Further Explanation;Area  Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.

For example;

Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;

                    =  1/2 x base x height

Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.

For example;

Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle.             where [tex]s =\frac{(a+b+c)}{2}[/tex]

In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm

Therefore, we use the Heron's formula;

Area= [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

 [tex]s =\frac{(a+b+c)}{2}[/tex]

[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]

Therefore;

Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

       = [tex]22.5\sqrt{12.5(12.5-15)(22.5-10)(22.5-20)}[/tex]

       =[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]

[tex]= 72.618 mm^{2}[/tex]

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Learn more about: Perimeter: https://brainly.com/question/12905000 Area: https://brainly.com/question/12905000 Area of a triangle: https://brainly.com/question/4125306Heron's Formula:  https://brainly.com/question/10713495Example of a question using Heron's Formula:  https://brainly.com/question/10713495

Level: Middle school

Subject; Mathematics  

Topic: Area

Sub-topic: Area of a triangle

Plot the image of point B under a dilation about the origin (0,0) (0,0)with a scale factor of 4. Image will be included below.

Answers

Answer:

See attachment

Step-by-step explanation:

The mapping for a dilation with a scale factor k, about the origin is given by:

[tex](x,y) \to \: (kx,ky)[/tex]

From the graph, the coordinates of B are (1,1) and the scale factor is k=4.

We substitute into the rule to get

[tex]B(1,1) \to \: B'(4,4)[/tex]

The image of point B is plotted on the graph in the attachment.

Final answer:

To find the image of point B under a dilation with a scale factor of 4 about the origin (0,0), multiply the coordinates of point B by 4.

Explanation:

To plot the image of point B under a dilation with a scale factor of 4 about the origin (0,0), we need to multiply the coordinates of point B by the scale factor. If point B is represented as (x,y), then the image of B would be (4x, 4y).

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9(x + 1) = 25 + x
x = 2
x = 3
x = 4
X
11

Answers

Answer:

x = 2.

Step-by-step explanation:

9(x + 1) = 25 + x

9x + 9 = 25 + x

Subtract x from both sides:

9x - x + 9 = 25

Subtract 9 from both sides:

9x - x = 25 - 9

8x = 16

x = 16/8 = 2.

Answer:

x = 2

Step-by-step explanation:

Given

9(x + 1) = 25 + x ← distribute parenthesis on left side

9x + 9 = 25 + x ( subtract x from both sides )

8x + 9 = 25 ( subtract 9 from both sides )

8x = 16 ( divide both sides by 8 )

x = 2

What is the slope of a line passing through (3, 4) and (5,8)?
1/2
2
2/4
4/2

Answers

Answer:

2

Step-by-step explanation:

To find the slope of a line given two points [tex](x_1,y_1) \text{ and } (x_2,y_2)[/tex] you could use the formula: [tex]\frac{y_2-y_1}{x_2-x_1} \text{ or even } \frac{y_1-y_2}{x_1-x_2}[/tex].

However, what I'm fixing to do is equivalent to that except I think easier to remember.

You line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

 ( 3  ,   4)

- ( 5  ,   8)

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

-2        -4

So the slope is -4/-2=4/2=2.

The slope is 2.

Determine whether the trinomial is a
perfect square. If so, factor it. If not,
explain why.
16. 81n2 + 90n+ 100

Answers

Step-by-step explanation:

Use (a+b)²= a²+2ab+b² formula

We can see that a²=81n² (so a=9n) and b²=100 (so b=10) and 2ab = 2*9n*10=180n.

therefore only √(81n²+180n+100) would be perfect square and this - isn't.

Given parallelogram ABCD, find the lengths and angles required

Answers

Step-by-step explanation:

let's Recall the properties of a parallelogram

1. the opposite sides of a parallelogram is congruent

AB=CD

8x-7=5x+2

8x-5x=7+2

3x=9

x=3

2. the consecutive angles are supplementary

angle A+angle D=180°

2y+50°+3y+40°=180°

5y+90°=180°

5y=90°

y=18

What is the solution to the equation g^(x-2)=27

Answers

Answer:

First problem: Solving for g.

[tex]g=27^{\frac{1}{x-2}}[/tex]

Second problem: Solving for x.

[tex]x=\log_g(27)+2[/tex]

Third problem: Assuming g is 9 while solving for x.

[tex]x=3.5[/tex]

Step-by-step explanation:

First problem: Solving for g.

[tex]g^{x-2}=27[/tex]

Raise both sides by 1/(x-2).

[tex](g^{x-2})^{\frac{1}{x-2}}=27^{\frac{1}{x-2}}[/tex]

[tex]g^{1}=27^{\frac{1}{x-2}}[/tex]

[tex]g=27^{\frac{1}{x-2}}[/tex]

Second problem: Solving for x.

[tex]g^{x-2}=27[/tex]

x is in the exponent so we have to convert to logarithm form since we desire to solve for it:

[tex]\log_g(27)=x-2[/tex]

Add 2 on both sides:

[tex]\log_g(27)+2=x[/tex]

[tex]x=\log_g(27)+2[/tex]

Third problem: Assuming g is 9 while solving for x.

[tex]9^{x-2}=27[/tex]

I'm going to solve this in a different way than I did above but you could solve it exactly the way I did for x when 9 was g.

I'm going to write both 9 and 27 as 3 to some power.

9=3^2 while 27=3^3.

[tex](3^2)^{x-2}=3^3[/tex]

[tex]3^{2x-4}=3^3[/tex]

Since both bases are the same on both sides, we need the exponents to be the same:

[tex]2x-4=3[/tex]

Add 4 on both sides:

[tex]2x=7[/tex]

Divide both sides by 2:

[tex]x=\frac{7}{2}[/tex]

[tex]x=3.5[/tex]

Now earlier for x in terms of g we got:

[tex]x=\log_g(27)+2[/tex]

I we input 9 in place of g and put it into our calculator or use some tricks without the calculator to compute we should get 3.5 as the answer like we did above when g was 9.

[tex]x=\log_9(27)+2[/tex]

[tex]x=\frac{3}{2}+2[/tex]

[tex]x=1.5+2[/tex]

[tex]x=3.5[/tex]

if twice a number is less than the number, the number must be a) negative b) even c) 0.5 d) a square

Answers

Answer:

a) negative

Step-by-step explanation:

When you multiply a given negative number by a positive number, the result becomes smaller than the original.

For instance let [tex]-100[/tex] be the original number.

Multiply by 2.

The result is -200

We know [tex]-200\:<\:-100[/tex]

The correct answer is A.

Answer: a) negative

Step-by-step explanation:

-100x2=-200

-200 is negative.

What is 12x - 4y = -8 written in slope-intercept form?
y = 3x+2
y= 3x-2
y = 12x-8
y=-12X-8

Answers

Hey there!

Isolate the y variable by subtracting 12x in both sides:

-4y = -12x - 8

To solve for y divide -4 in both sides

y = 3x + 2

Our answer would be y = 3x + 2

Answer:

y = 3x + 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 )

Rearrange 12x - 4y = - 8 into this form

Subtract 12x from both sides

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form

for a standard normal distribution which of the following variables always equals 1

Answers

In a normal distribution, the answer will always be 0. Furthermore is a standard of U

For a standard normal distribution, the standard deviation is always equals 1

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

z = (raw score - mean) / standard deviation

For a standard normal distribution, the standard deviation is always equals 1

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10,825.643 which digit is in the tenths place​

Answers

Answer:

the number 6 is in the tenths place.

Hope this helps!

Given the directrix of y = 4 and focus of (0, 2), which is the equation of the parabola? y = one fourthx2 + 3 y = −one fourthx2 + 3 y = −one fourthx2 − 3 y = one fourthx2 − 3

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] x² + 3

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and directrix.

Using the distance formula

[tex]\sqrt{(x-0)^2+(y-2)^2}[/tex] = | y - 4 |, that is

[tex]\sqrt{x^2+(y-2)^2}[/tex] = | y - 4 |

Squaring both sides

x² + (y - 2)² = (y - 4)² ← distribute parenthesis

x² + y² - 4y + 4 = y² - 8y + 16 ( subtract y² - 8y  from both sides )

x² + 4y + 4 = 16 ( subtract x² + 4 from both sides )

4y = - x² + 12 ( divide both sides by 4 )

y = - [tex]\frac{1}{4}[/tex] x² + 3

Answer:

same as him took test right

Step-by-step explanation:

Expected future value $125,000 3% of 2 years

Answers

Answer:

$132,612.50

Step-by-step explanation:

We will use the present value - future value formula. WHich is:

[tex]FV=PV(1+r)^t[/tex]

Where

FV is the future value (amount)

PV is the present value (amount)

r is the rate of interest (per year)

t is the number of years

In the problem given, the present amount (PV) is 125,000. The rate of interest (r) is 3%, or 0.03. And the time frame is 2 years, or t = 2.

Plugging these info in the equation, we can get the future value as shown:

[tex]FV=PV(1+r)^t\\FV=125,000(1+0.03)^2\\FV=125,000(1.03)^2\\FV=132,612.5[/tex]

This is the future vallue of $125,000 3% in 2 years.

how do i solve this? 5×{3×[9-(4+1)]}+20÷4×2????​

Answers

Answer: 70

Step-by-step explanation:

Solve the equation in the innermost parentheses first that means solving 4+1 =5

The next step would be subtracting 9 from five which gives you 4

Next multiply 3 to 4 which gives you 12

Then multiply 5 with 12 which equals 60

Now you have the equation 60+20/4*2

Solve the division and multiplication part of the equation first because of the rule pemdas which shows multiplication comes before addition

First divide 20/4 which gives you 5 then multiply with 2 which gives you ten

After dividing and multiplying you are left with the equation 60+10

The answer is 70

how many solutions does the following equation have?3(x+5)=−4x+8

Answers

Answer:

1

Step-by-step explanation:

Solve the equation for x:

3(x + 5) = -4x + 8

Distribute.

3x + 15 = -4x + 8

Combine like terms.

3x + 15 = -4x + 8

+4x         +4x

7x + 15 = 8

     -15   -15

7x = -7

Divide both sides by 7.

x = -1

The following equation has one solution, x = -1.

Answer:

1 solution,  x = -1.

Step-by-step explanation:

3(x + 5 )= −4x + 8

3x + 15 = -4x + 8

3x + 4x = 8 - 15

7x = -7

x = -1.

Can someone help me please and thank you

Answers

The answers and work is attached below

Find the circumference given the area = 50.3 m². Use 3.14 for π as necessary.

Answers

The answer would be 25.14

C=2 √ π•50.3

Convert into a fraction

C=2 √ π•503/10

Calculate the product

C=2 √ 503 π/10

Use radical rules

C=2 √ 503 π/√ 10

Calculate the product

C= 25.14







The circumference of a circle with an area of 50.3 m² is 25.12 m.

Further Explanation Area Area is a measure of how much space is occupied by a given shape.Area of a substance is determined by the type of shape in question.

For example;

Area of a rectangle is given by; Length multiplied by widthArea of a triangle = 1/2 x base x heightArea of a circle = πr². where r is the radius of a circle,Area of a square = S², Where s is the side of the square.etc.Perimeter Perimeter is defined as the distance along a two dimension shape. Perimeter of different shapes is given by different formulas

For example;

The perimeter of a rectangle = 2(length+width)The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.The Circumference of a circle = 2πr , where r is the radius of the circle

In this case;

The Area of a circle = 50.3 m²

π = 3.14

But; Area of a circle = πr²

Therefore;

3.14r²= 50.3 m²

r² = 50.3/3.14

   =16.019

r = √16.019

 = 4.0023

 ≈ 4.00

But;

Circumference of a circle is given by 2πr

Thus;

Circumference = 2 × 3.14 × 4.00

                          = 25.12 m

Keywords; Perimeter, Area, Area of a circle, Circumference of a circle

Learn more about:Perimeter:https://brainly.com/question/1322653Area: https://brainly.com/question/1322653Area of a circle: https://brainly.com/question/9404782Circumference of a circle: https://brainly.com/question/9461882

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Sub-topic: Area and circumference of a circle

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