If the area of a circle is 74.2 ft squared, what would the circumference of the circle be?

Answers

Answer 1

Answer:

[tex]C=30.536\ ft[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

[tex]A = \pi *r^2[/tex]

[tex]74.2\ ft^2=\pi *r^2[/tex]

[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]

[tex]23.619\ ft^2=r^2[/tex]

[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]

[tex]4.8599\ ft=r[/tex]

Step 2:  Determine the circumference

[tex]C=2*\pi *r[/tex]

[tex]C=2*\pi *4.8599\ ft[/tex]

[tex]C=30.536\ ft[/tex]

Answer:  [tex]C=30.536\ ft[/tex]


Related Questions

Determine and state an equation of the line perpendicular to the lines 5x-4y=10 and passing through the point (5,12). in point-slope form.

Please help I will mark branilest!!! and give 100 points

Answers

Perpendicular lines have slopes that are negative reciprocals of one another.

slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope

5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5

if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.

Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)

the coordinates of (5,12) can are substituted for x, and y,

so the answer is

(y-12) = -4/5(x-5)

I hope this helped and is BRAINLIEST!

Good luck with your studies!

The equation of the line in point-slope form is: y - 12 = -4/5(x - 5).

What is the Equation of a Line in Point-slope Form?

It is given as, y - b = m(x - a), where (a, b) is a point on the line and m is the slope of the line.

Rewrite 5x-4y=10 in slope-intercept form:

-4y= - 5x + 10

y= -5x/-4 + (10/-4)

y = 5/4x - 5/2

The slope is 5/4

The line that is perpendicular to 5x-4y=10 will have a slope which is the negative reciprocal of 5/4, which is -4/5.

Substitute (5, 12) and -4/5 into y - b = m(x - a):

y - 12 = -4/5(x - 5) [point-slope form]

Learn more about point-slope form on:

https://brainly.com/question/24907633

#SPJ6

Find the measurement for angle x.

Answers

180-30-40 = 110(sum of triangle)
180-110= 70 degrees( straight line)

Please help I will give
BRAINLY
5 STARS
and a THANKS

Answers

Answer:

b = 5c

Step-by-step explanation:

I think …, I’m confused with how it’s phrased

The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?


A. x2 – 2y > 5000

2x + 5y < 1000

B. x2 – 2y > 5000

2x + 5y ≤ 1000

C. x2 – 2y ≥ 5000

2x + 5y < 1000

D. x2 – 2y ≤ 5000

2x + 5y ≤ 1000

Answers

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

x2 – 2y ≥ 5000

2x + 5y < 1000

Step-by-step explanation:

I got it right on the test.

Solve for x, then find the measure of the angle given

Answers

Answer:

The value of x is 55⁰.

Step-by-step explanation:

Let n be X,

(n+7)+(3n-47)=180

or,n+7+3n-47=180

or,4n-40=180

or,4n=180+40

or,4n=220

or,n=220/4

.:n=55##

Find the maximum height of the equation -16x^2+64x+86=0​

Answers

Answer:

max = 150

Step-by-step explanation:

the maximum height is the value of the y- coordinate of the vertex.

given a quadratic equation in standard form : y = ax² + bx + c = 0 ( a ≠ 0 )

then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

- 16x² + 64x + 86 = 0 ← is in standard form

with a = - 16 and b = 64 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{64}{-32}[/tex] = 2

substitute x = 2 into the quadratic for corresponding y- coordinate

- 16(2)² + 64(2) + 86 = - 16(4) + 128 + 86 = - 64 + 128 + 86 = 150

vertex = (2, 150 )

then maximum height is 150 units

Please help. The question that I need help on is on the Picture.​

Answers

Answer:

V = 104 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth, h is height )

here l = 13 , b = 2, h = 4 , then

V = 13 × 2 × 4 = 26 × 4 = 104 in³

What is the remainder when (x4 36) is divided by (x2 – 8)?

Answers

Answer:

(x4 36) I didn't that is .   or + so I solved it on +

Hope that what you looking for :)

Step-by-step explanation:

BY Using the long divison method,  x⁴ + 36 is divided by x² - 8 is 100

Dividend = x⁴ + 36

Divisor = x² - 8

_____x²+8

x² - 8 | x⁴ + 36

| x⁴ - 8x²

-8x² + 36

8x² - 64

_100

The remainder is calculated as (36 - (-64)) = (36 + 64) = 100

Therefore, the remainder is 100

100 and it a rational numbers

Alda's allowance follows the equation

y = 10(1. 2)

where t is time in weeks. Which equation represents the the

approximate daily interest rate?

Answers

The answer is 12 I believe

If x−y=9 is a true equation, what would be the value of 5+x−y?

Help please

Answers

Answer:

14

Step-by-step explanation:

5+x-y (x-y=9) so -----> 5+9=14

Answer:

5+9 = 14

Step-by-step explanation:

x-y = 9, so 5+x-y would be equal to 5+9

5+9 is 14

hope this helps!

Which of the following sets of ordered pairs represents a function ?

A. (-1, 15), (0,10), (0,5), (2,5), (5,-5)

B. (-7, -1), (-7,0), (-7,1), (-7,2), (-7,3)

C. (-5,10), (-3,6), (0,0) (5,10)

D. (-8,3), (-4,3), (0,3), (0,5), (4,5)

Answers

Answer:

Letter C

Step-by-step explanation:

A function has to have no repeating x-intercepts.

What type of association is shown by the data? Explain how you know.

Answers

Answer:

Positive association Hope this helps

Please helkp me my math is going to make me cry. I can't math.

graph the quadratic function f(x)=2x^3-18x

Answers

Graph the cubic using its end behavior and a few selected points.

Falls to the left and rises to the right

x    y

-2   20

-1    16

0  0

1  -16

2  -20

Write an explicit formula for a,, the nth
term of the sequence 39, 45, 51, ....

Answers

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

General form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

Given terms:

[tex]a_1=39[/tex][tex]a_2=45[/tex][tex]a_3=51[/tex]

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]

How to find x and y? We didn’t study much about the rhombus at all

Answers

Answer:

answer can be any numbers but I will choose

x = 50° and y =130°

Step-by-step explanation:

We know all the inner degree of rhombus =360°

Then, x+y+x+y = 360°

or,2x + 2y = 360°

or, 2(x + y) = 360°

or, x + y = 360°/2

or,x + y = 180°

Let x = 50° then

50° + y = 180°

or, y = 180° - 50°

or, y = 130°

If the average of 8, 11, 25, and p is 15, then 8 + 11+ 25 + p =

1)16


2)44


3)56


4)60


5)64

Answers

Answer:

44,15,29

Step-by-step explanation:

8 + 11 + 25 + p=

simplify

44 + p

8 + 11 + 25 + p = 15

p=29

but your real answer for p is p= 44

100 POINT!!!!!
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat".
Part A- Write an inequality to show the age of children who are allowed to operate a boat.
Part B- Describe in words how you can show the solution to this inequality of a number line.

Answers

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

Part A

Let x = age of child (in years)

Given:

"Children under the age of 13 are not allowed to operate a boat"

Therefore, children should be 13 or older:

x ≥ 13

Part B

Place a closed circle at 13.

Shade to the right of the closed circle.

The radius of a circle is 4 yards. What is the circle's circumference?
r=4 yd
Use 3.14 for .

Answers

Answer:

25.12 yd

Step-by-step explanation:

Radius (r) = 4 yd

π = 3.14

Circumference of the circle

= 2πr

= 2 × (3.14) × (4)

= 25.12 yd

_________

Hope it helps ⚜

Answer:

25.12 yards

Step-by-step explanation:

Circumference formula : 2πr

r = radius

Solving

C = 2πrC = 2 x 3.14 x 4 [given π = 3.14 and r = 4]C = 3.14 x 8C = 25.12 yards

My dog weights 22lbs how many kg is that?

Answers

Answer:

Your dog weighs 9.97903kg.

Step-by-step explanation:

[tex]1lb = 0.453592kg[/tex]

[tex]22lbs * 0.453592kg/lbs = 9.97903kg[/tex]

Help! I will give brainliest!!!!

Answers

Answer:

35.53 meters = circumf

Step-by-step explanation:

76 degrees out of 360 degrees = 7.5 m

76 / 360    * x   = 7.5

x = 35.53 m

3x=1/2y
circle the ratio x:y

Answers

Answer:

1:6 is the answer

Step-by-step explanation:

If X is equal to 1, Y would equal 6...

Because X is /3 of half of Y

so if Y is 6 then divide by 2 then divide by 3 to get 1

the reverse... (X x 3) x 2 = Y

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

pre algebra! please please please help!

Answers

Sum if triangles should be 180 so
44+a+10+x = 180

Also the flat angle on the line should be 180 too so

2a+x=180

You got 2 equations and 2 unknowns. You can find a and x

Configure second equation:

x=180-2a

Plug in x into first equation

44 + a + 10 + 180-2a = 180

234 -a = 180

a = 54

Exterior angle is 2a so 2(54) = 108

You can easily find x and plug into equations and check your answer too

Explain a situation where the probability could be equally unlikely

Answers

Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur. For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.

convert the radians to degrees

Answers

[tex]\pi = 180[/tex]

[tex] \frac{17 \times 180}{12} = \frac{3060}{12} = 255[/tex]

352,345,338,... Find the 43rd term

Answers

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the
CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have
been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a
possible investment.


What is the annual interest you would earn on each bond?

Answers

Answer:

$3172.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

A sum of amount Rs. 720 is divided into 2 parts in the ratio of 3:5.How much will be the amount in the second part? ​

Answers

Answer:

3x + 5x = 720

8x = 720

x = 90

1st) 3x = 3 x 90

270

2nd) 5x = 5 x 90

450

PLS HELP ME ILL GIVE YOU BRAINIEST!!!

Answers

The total surface area of the three figures are 702 square feet.

How to estimate the amount of metal needed to produce a given amount of figures

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the total surface area ([tex]A_{T}[/tex]), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (n), no unit, and the surface area of each piece (A).

Now we proceed to calculate the total surface area:

[tex]A_{T} = n\cdot A[/tex]

[tex]A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\[/tex]

[tex]+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ][/tex]

[tex]A_{T} = 702\,ft^{2}[/tex]

The total surface area of the three figures are 702 square feet. [tex]\blacksquare[/tex]

To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293

Solve and graph

3/4 n + 12 ≥ -36

Answers

[tex]\huge\fcolorbox{blue}{yellow}{Answer:}[/tex]

══════════════════════

Answer:

[tex] = n\geq -64 [/tex]

Solution:

[tex]\frac{ 3 }{ 4 } n+12 \geq -36[/tex]

[tex]\frac{3}{4}n\geq -36-12 [/tex]

[tex]\frac{3}{4}n\geq -48 [/tex]

[tex]n\geq -48\times \left(\frac{4}{3}\right) [/tex]

[tex]n\geq \frac{-48\times 4}{3} [/tex]

[tex]n\geq \frac{-192}{3} [/tex]

=[tex]n\geq -64 [/tex]

═════════════════════

Explanation:

#Carry on learning

16.) a) A group of college students are volunteering for Help the Homeless during their
spring break. They are putting the finishing touches on a house they built. Working
alone, Irina can paint a certain room in 5 hours. Paul can paint the same room in 10
hours. How many hours will it take them to paint the room?
bl Raul

Answers

Answer:

[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.

The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours

The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].

[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]

2) Add the fractions.

[tex]\frac{1}{x} = \frac{3}{10}[/tex]

3) Solve for the [tex]x[/tex].

[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]

4) Change them into a mixed fraction.

[tex]3\frac{1}{3}[/tex]

Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].

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