A wire of length 4x is bent into the shape of a circle. A. Express the circumference of the circle as a function of 4x. B. Express the area of the circle as a function of 4x.

Answers

Answer 1

The circumference of the wire is 4x and the area of the circle is 4x^2/π

How to determine the circumference?

The length of the wire is given as;

Length = 4x

This represents the circumference.

Hence, the circumference of the wire is 4x

How to determine the area?

In (a), we have:

Circumference = 4x

Calculate the radius using:

2πr = 4x

Divide through by 2π

r = 2x/π

The area is:

Area = πr^2

This gives

Area = π(2x/π)^2

Evaluate

Area = 4x^2/π

Hence, the area of the circle is 4x^2/π

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Related Questions

[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]​

Answers

Answer:

21.27 cubic meters

22.30 cubic meters

Step-by-step explanation:

We find volume by multiplying height, width, and length.

21.

3x3x3=27 cubic meters

22.

5x2x3=30 cubic meters

Answer:

    21. 27 cubic meters

   22. 30 cubic meters

Step-by-step explanation:

Question 21

Volume = length × width × heightVolume = 3 × 3 × 3Volume = 27 cubic meters

Question 22

Volume = 5 × 2 × 3Volume = 30 cubic meters

The following data points represent the number of quesadillas each person at Toby's Tacos ate.
Sort the data from least to greatest.

0,0, 1/2, 1/2, 1/4, 1, 1, 1, 5/4, 2, 2.

What is the interquartile range of this data?β

Answers

The interquartile range for the given data is 1 quesadilla.

What is the interquartile range?

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:

0, 0, 1/4, 1/2, 1/2  (any number less than 1).

There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "

1: 1, 1, 5/4, 2, 2.

Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.

5/4 - 1/4 = 4/4 = 1.

Therefore, the interquartile range is 1 quesadilla.

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Select all right angles

Answers

Answer:

The right angles are B,D,E,and F

This railway car is 3.2 m in diameter and 17.2 m long. Calculate its surface area.
A railway car is a cylinder.
Estimate the cost of painting the outside of the railway car, if a can of paint covers an area of 40 m2 and costs $35.

Answers

Answer:

answer is 151.3575 dollars.


Which values complete the function? f(x)=_(x-_)(x+_)

Answers

Answer:

the answer is b

Step-by-step explanation:

just took the test

Answer:

Step-by-step explanation:

-1

3

4

Please help!! Giving Brainleist!

Answers

Answer: 30

Step-by-step explanation:

Bc all the numbers are near 30

CAN I PLEASE HAVE BRAINLIEST ✨

What will cost to make 1000 copies if the cost of one copy is $0.041 ?

Answers

Answer:

$41

Step-by-step explanation:

1 copy costs $0.041

If I need 1000 copies, I need to multiply

$0.041 × 1000 = $41

1000 copies will cost $41

Answer:

  $41

Step-by-step explanation:

The cost of 1000 copies is 1000 times the cost of 1 copy.

  1000 × $0.041 = $41.00

The cost to make 1000 copies is $41.

You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?

Answers

The new price of the shoe before taxes will be $ 35.75.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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Which equation represents a linear function?

Answers

Answer:

y = x-3

step by step explanation:

The equation of a linear function has no exponents higher than 1

Express tan C as a fraction in simplest terms.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

[tex]\sf \tan(C)=\dfrac{3}{4}[/tex]

Step-by-step explanation:

First, find the missing side length (DE) by using Pythagoras' Theorem:

a² + b² = c²  

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ 36² + DE² = 45²  

⇒ DE² = 45² - 36²

⇒ DE² = 729

⇒ DE = √729

⇒ DE = 27

Tan trig ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = CO = DE = 27A = 36

Substituting the given values into the formula:

[tex]\implies \sf \tan(C)=\dfrac{27}{36}=\dfrac{3}{4}[/tex]

Answer:

3/4

Step-by-step explanation:

Finding the missing side by applying the Pythagorean Theorem :

a² + b² = c²a² = c² - b²a² = (45)² - (36)²a² = 2025 - 1296a² = 729a = 27

Finding tan C :

opposing side of ∠C / adjacent side of ∠CDE / CD27/363/4

Help please thank you!

Answers

Answer:

Here is the answer...hope it helps

HELP ASAP PLSSSSSSSSS

(image is below)
A scatter plot with a line is shown below:

Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0.5 and 10, 14.8.

Which statement is most likely correct about the line?

It can be a line of best fit because it is closest to most data points.
It can be a line of best fit because it passes through all the data points.
It cannot be a line of best fit because it does not pass through all the points.
It cannot be a line of best fit because it does not pass through the first and last points.

Answers

Answer:

Option 1

Step-by-step explanation:

The statement which is most likely correct about the line is :

It can be a line of best fit because it is closest to most data points.Option 1

Can someone say the answer to this question with steps?
¬

Answers

Answer:

729

Step-by-step explanation:

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

Answer:  3.7

==========================================================

Explanation:

Check out the diagram below to see what's going on.

a = 8.2 feetb = unknownc = 9 feet

Use the pythagorean theorem to find b

[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]

The length is roughly 3.7 feet.

b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)

Answers

Answer:

father sends 7 more

19-12=7

Can you create a data set which contains median=6 and mode=4?​

Answers

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

Raquel needs to graph a square on a coordinate plane using the points (8,2), (8,5), (5,5), and (5,2). What steps does Raquel need to follow to graph the square?

Answers

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

Connor got to the beach at 9:58 A.M. He hunted for seashells, played in the waves, ate lunch, watched the birds dive in the water, and built a sand castle. He left the beach at 5:26 P.M. How long was he at the beach?

Answers

Answer:
7hours 28 minutes
Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!!

Answers

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

Question 1 of 42
Which of the following is the domain and range that represents the function
F(x), given the mapping diagram of the inverse of F(x) below?
2
NO 00
4
3
2
1
6
8
2-
No00
هم نه ليا ده
6
2.
3
4.
8
O A.
2.
4
3
2
1
NW
6
8
B.

Answers

The option A is showing the domain ans the range of the function F(x) as inverse of F(x).

What is inverse function?

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]

Here in the graph we can see that the option A has the clear range of the function.

[tex]2------- > 1\\4------- > 2\\6------- > 3\\8------- > 4[/tex]

Hence the option A is showing the domain ans the range of the function F(x) as inverse of F(x).

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Find the value of x in the given figure​

Answers

[tex]~~~~~~(2x+34)+(x+71) = 180\\\\\implies 3x + 105=180\\\\\implies 3x = 180-105\\\\\implies 3x = 75\\\\\implies x = \dfrac{75}3\\\\\implies x = 25[/tex]

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?

Answers

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

please help!!!!!!!!!!

Answers

Answer:

8.4852814

Step-by-step explanation:

x^2=11^2-7^2

x^2=121-49

x^2=72

x=8.4852814

PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth

Answers

12.57

Step-by-step explanation:

Area = πr²

40/360 × 22/7 × 36

1/9 × 22/7 × 36

(22 × 4)/7 = 12.57

find the perimeter and the area of the figure

Answers

Answer:

area=112

perimeter=56

Find the area of the green triangle

Answers

Answer:

16 ft^2

Step-by-step explanation:

The area of a triangle is calculated by multiplying its height and base then dividing it by 2

Height of this triangle is given as 4ft

the base is 8ft

4*8/2 = 16 the area is given is square units so the answer is 16 ft^2

What two operations would you use to solve the equation b/2+5=-7

-multiplication
-addition
-subtraction
-division

Answers

okay so I simplified which got me
1/2b + 5 = -7
then subtracted 5 first
1/2b = -12
then multipled both sides by 2
b = -24
so subtraction and multiplication

Which expression could represent the phrase shown? (1 point)

"Subtract 2 from 6, then divide by 3"

Group of answer choices

3 ÷ 6 − 2

3 ÷ (2 − 6)

(2 − 6) ÷ 3

(6 − 2) ÷ 3

Answers

Answer:

(6-2)÷3=1

this is the answer

follow me :)))

John paid $34 for two algebra and three geometry books. he paid $36 for three algebra and two geometry

Answers

Answer:

Each geometry book costs $6, each algebra book costs $8.

Let a=cost of one algebra book and g=cost of one geometry book. We have:

2a + 3g = 34-------->6a + 9g = 102

3a + 2g = 36-------->6a + 4g = 72

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

5g = 30

g = 6

2a + 3(6) = 34

2a + 18 = 34

2a = 16--->a = 8

Question: John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?

Answer: The cost of each algebra book is $8 and the cost of each geometry book is $6.

Step-by-step explanation:

a= algebra book cost

g= geometry book cost

Here's what we know:

2a + 3g = 34 (the 2 alg and 3 geo comes to $34)

3a + 2g = 36 (the 3 alg and 2 geo comes to $36)

This is a classic elimination method problem. I suggest that we multiply the first equation by -2 and the second by 3. This way, we can eliminate the variable g and still keep the other parts of the problem in the positive range:

-4a - 6g = -68

9a + 6g = 108

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

5a = 40

Divide by 5:

a = 8

Now to solve for g:

2 * 8 + 3g = 34

16 + 3g = 34

3g = 18

g = 6

check (by using the second equation):

3 * 8 + 2 * 6 = 36

24 + 12 = 36

ANSWER QUICK ILL GIVE BRAINLIEST
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? It is a valid sample because the first eight people were selected to participate. It is not a valid sample because it is not a random sample of the population. It is a valid sample because money was offered to participants. It is not a valid sample because it is only a short study.

Answers

Answer: Choice B

It is not a valid sample because it is not a random sample of the population.

Explanation:

The researcher should have randomly selected the participants, either by picking names out of a hat, using a random number table, or some kind of computer software to pick the names. Letting the first 8 people form the sample is very likely not representative of the population at large. We have a lot of bias here. Therefore, this is not a valid sample.

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