Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a circle with radius r?

Which Graph Correctly Represents The Relationship Between Arc Length And The Measure Of The Corresponding
Which Graph Correctly Represents The Relationship Between Arc Length And The Measure Of The Corresponding

Answers

Answer 1

Any smooth curve connecting two points is called an arc. The correct option is c.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is (360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

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Which Graph Correctly Represents The Relationship Between Arc Length And The Measure Of The Corresponding

Related Questions

Which of the following measures is equivalent to 3,300 grams? (I have to show my work.)

Answers

Answer:

C. 3.3 kg.

Step-by-step explanation:

There are 1000 grams in a kilogram.

So 3,000 g = 3300/1000

= 3.3 kg.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Which of the following is equivalent to 3,300 grams?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Option C

[tex]\blue\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

Divide the number of grams by 1,000:-

[tex]\texttt{3,300:1,000=3.3}[/tex]

So Option [tex]\bigcirc\!\!\!\!\!\bold{C}[/tex] (3.3 kg) is correct.

Good luck.

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A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. the data from the survey is shown in the venn diagram. use the venn diagram to find the missing values in the frequency table. a circle labeled below 25,000 dollars 55 overlaps a circle labeled subscriber 34. overlap is 18. 4-column table with 3 rows. first column has no label with entries subscribes, does not subscribe, total. second column is above 25,000 dollars with entries a, 13, 47. third column is below 25,000 dollars with entries b, 55, 73. fourth column is labeled total with entries 52, c, 120. which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68

Answers

The figures that perfectly fit into the values for the table are the values;  a = 34, b = 18, c = 68.

What is a Venn diagram?

The Venn diagram is one of the ways by which data is represented. The presentation of data involves a rectangle in which circles are inscribed.

Here, the figures that perfectly fit into the values for the table are the values;  a = 34, b = 18, c = 68.

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Answer:

C. a = 34, b = 18, c = 68.

Step-by-step explanation:

Did the Unit Test Review on Edge 2022

(a) How long did it take you to set up your building materials? How do you
(b) How long did it take to build each shelf ​

Answers

The answer would be 3,95

3. A bag of Jelly beans contains 12 red, 17 white and 14 black jelly beans.
a) if 5 jelly beans are chosen at random, determine the probability that all 5 will be red.

Answers

Answer:

steps below

Step-by-step explanation:

Total = 12+17+14 = 43

Without replacement:

C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)

                          = 95040 / 115511760

                           = 0.00082

                           ≈ 0.082%

with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵


What is the slope of the line that passes through the points (-2, 6) and (-12, 2)?
Write your answer in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

To find slope:

y2-y1 / x2-x1

2-6 / -12--2

2-6 / -12+2

-4/-10

4/10

2/5

A theater has 33 seats in the first row, 37 seats in the second row. 41 seats in the third row, and so on. How many seats are there in row 19?

Answers

Answer:

90 seats are in row 19

Step-by-step explanation:

The pattern is adding 4 seats so 3 x 19 is 57 so 33 + 57 is 90 seats

Hope this helps

Solve the quadratic equation 4x2 + 7 = 25

Answers

4x^2+7=25
4x^2=18
x^2=4.5
x=2.12

can you simplify 4x-4=-4x6?

Answers

Answer:

-16 = -24

Step-by-step explanation:

Which coordinates identify a location north of a city that has a latitude of 38. 0°n and a longitude of 25. 0°w?.

Answers

Using translation concepts, y-coordinates greater than 38 identify a location north of the city.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering latitude and longitude, the coordinates of a city are given as follows:

(LON, LAT).

Hence, the given city has coordinates given by:

(25, 38)

As we move north, the latitude increases, hence, y-coordinates greater than 38 identify a location north of the city.

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Type the missing number in the sequence 1, , 4, 8, 16

Answers

Answer:

Looking at the given numbers, we can see that each number gets multiplied by 2 to produce the next number.  Therefore if we multiply the first number by 2 we would get that the second number is actually just 2.

Answer:

2

Step-by-step explanation:

Its multiplying by 2 each.

what is f(x)=x^2 transformed 3 units to the left

Answers

Answer:

Equation:

f(x) = (x + 3)^2

Graph: see image

Step-by-step explanation:

Translation just means shift or slide. To show a LEFT shift in the equation, go in close to the x, inside the parenthesis with the x, for LEFT shift, insert +3.

Left and right shifts might be the opposite of what you may think. Minus a number shifts right and plus a number shifts left.

For the graph, see image. The answer is the green curve.

Jia needs 3/4 cups of blueberries to make scones. How many cups of blueberries does she need to make 3 times as many scones? I think it's either C or A, i'm not sure
A. 1/4 cups
B. 1 1/2 cups
C. 2 1/4 cups
D. 3 3/4 cups

Answers

C, 2 1/4 cups, is the correct answer. She needs 3 times as many, so multiply 3/4 by 3, which = 9/4. 4 will go into 9 two times and leave 1/4 left.

Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)

Answers

Answer:

1/36 and 1/28

Step-by-step explanation:

i believe this is the answer as you should divide the denomonator by the answer as you cannot divide the numerator.


Paul has 2 red marbles ve, 8 blue marbles, and 5 purple marbles in his
bag. What is the probability that he will randomly select one purple
marble and one blue marble without replacement

Answers

Answer: 6.5 or 2/13

Step-by-step explanation: add all the numbers together first

2+8+5= 15

then add 1 purple and 1 blue together over 13 (because it says without replacement) so 2/13 then divide = 6.5

I'm pretty sure let me know if i got it wrong

simplify
4 1/2x−1 3/4x=155

Answers

Answer:

x=

620

69

Step-by-step explanation:

Let's solve your equation step-by-step.

41

2

x−

13

4

x=155

Step 1: Simplify both sides of the equation.

41

2

x−

13

4

x=155

41

2

x+

−13

4

x=155

(

41

2

x+

−13

4

x)=155(Combine Like Terms)

69

4

x=155

69

4

x=155

Step 2: Multiply both sides by 4/69.

(

4

69

)*(

69

4

x)=(

4

69

)*(155)

x=

620

69

Answer: Heyaa!

Your Answer is.. 620/11

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hopefully this helps you !

- Matthew ~

PLEASE HELPP !!! Find the volume of the sphere.

Answers

The volume of the sphere with a radius of 2 units is 17.541π cubic units

Volume of a sphere

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 2/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 2 units

Substitute the given parameters

V = 2/3(π) * 2^3

V = 2/3 * π * 8

V = 16.75π/3

V = 17.541π cubic units

Hence the volume of the sphere with a radius of 2 units is 17.541π cubic units

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PLEASE!!! WILL MARK BRAINLIEST IF YOU'RE RIGHTIn this triangle, what is the value of x? enter your answer, rounded to the nearest tenth x=cm just put the number in the blank​

Answers

[tex]\bold{ANSWER:}[/tex]
x = 61.1

[tex]\bold{SOLUTION:}[/tex]

help asap check picture

Answers

The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

What is a normal distribution?

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have a probability distribution shown in the table:

P(2 < X ≤ 4)

We have to find the probability between 2 and 4

P(2 < X ≤ 4) = P(x =3) + P(x = 4)

From the table

P(x =3) = 0.10

P(x = 4) = 0.04

P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14

Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.

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helppppppppppppppppp

Answers

Range = 5
Mode is 6

What is the fraction in its simplest for of a recuring decimal 0. 1

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

x= 0.1111...

10x = 1.11111111

10x - x = 1

9x = 1

x = [tex]\frac{1}{9}[/tex]

Can i get some help? Points P, Q, R, and S represent -3, -1, 0 and 2, respectively, on a number line. How many units is the midpoint of PQ from the midpoint of RS?

Answers

Answer:

3 units

Step-by-step explanation:

The midpoint of P and Q is -2, the midpoint of R and S is 1, the total distance between -2 and 1 is three

|-2| + |1| = 3

Find the surface area

Answers

Answer:299 cm

Step-by-step explanation: you have to find the area of square and rectangle. 33*6.5 = 214.5 plus 13 * 6.5 = 84.5 then add together

214.5 + 84.5 = 299cm

triangle ABC has a perimiter of 22cm
ab=8cm
bc=5cm
by claculation deduce whether triangle abc is a right angle triangle

Answers

Answer:

ABC is not a right angled triangle.

Step-by-step explanation:

Step 1: Given the perimeter of ΔABC = 22 cm, sides AB = 8 cm and BC = 5 cm. Find the side AC.

Perimeter = AB + BC + AC

⇒ AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Step 2: Find whether the triangle is right angled using Pythagoras Theorem which is Hypotenuse² = Side² + Base²

AC² = AB² + BC²

⇒ AC² = 9² = 81

⇒ AB² + BC² = 8² + 5² = 64 + 25 = 89

∴ AC² ≠ AB² + BC²

⇒ ΔABC is not a right angled triangle.

what is 2y + 3 + 5x + 6 simplified and justified

Answers

2y + 3 + 5x + 6

2y + 5x + 9 = 0

hope it helps...!!!


If m varies directly with t, and m = 4 when t = 12, what is the value of t when m = 12?
O4
O20
O24
O36

Answers

Answer:

t = 36

Step-by-step explanation:

given that m varies directly with t then the equation relating them is

m = kt ← k is the constant of variation

to find k use the condition m = 4 when t = 12 , then

4 = 12k ( divide both sides by 12 )

[tex]\frac{4}{12}[/tex] = k , that is

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

m = [tex]\frac{1}{3}[/tex] t ← equation of variation

when m = 12 , then

12 = [tex]\frac{1}{3}[/tex] t ( multiply both sides by 3 to clear the fraction )

36 = t

6 raised to the third power plus 4

Answers

Answer:

6^3+4 equals 220.

Step-by-step explanation:

6^3 equals 216.

Plus 4 equals 220.

Answer:

Step-by-step explanation:

6004

6 to the third power is 6000 and 6000+4 is 6004

The student council sets up a booth to sell bracelets for $2.50 each and a booth to sell necklaces for $5 each. A $50 donation is made at the booth selling bracelets. The student council decides to close the booths when the amount of money collected is the same.​

Answers

The students council sold 20 bracelets and 10 necklesses.

What is division?

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic,

here the number of the bracelets sold will be

[tex]N_{B}=\dfrac{50}{2.5}=20[/tex]

Number of the necklesses sold will be

[tex]N_{N}=\dfrac{50}{5}=10[/tex]

Hence the students council sold 20 bracelets and 10 necklesses.

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The area of a rectangular ink pad is 28 square centimeters. It is 7 centimeters wide. How tall is it?

Answers

Answer:

4 cm

Step-by-step explanation:

The area is found by the length times width. You already know that the area is 28 and the width is 7. All you have to do is divided 28 by 7 to get 4.

Answer:

4 cm

Step-by-step explanation:

28=7*W

W=28/7

W=4 inches

Pretty hard question in geometry pls help me

Answers

Check the picture below, on the left side atop

AC is a diametrical line, and thus the angle that it makes is 180°, so the arcAB is obvious.  Now, the angle ADB, well is an inscribed angle touching the arcAB.

Check the picture below, on the left side below

well, that triangle is a triangle made using the diametrical AC, and thus the angle ABC is an inscribed angle in a semicircle, now check the picture on the right side

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.

[tex]\cfrac{x}{6}~~ = ~~\cfrac{6}{13-x}\implies 13x-x^2=36\implies 13x=x^2+36 \\\\\\ 0=x^2-13x+36\implies 0=(x-9)(x-4)\implies x=AE= \begin{cases} 9~~\checkmark\\ 4 \end{cases}[/tex]

now, let's notice something, 4 is also a valid value, why we can't use 4?

well, let's notice, the segment AE is passed the half of AC, namely passed the center, since AC is 13, half that must be 6.5, so whatever AE is, it must be greater than 6.5, so the value 4 is no dice.

Mike eight one fifth of his bag of candy meg eight 1/5 of her bag of candy how much candy did they eat altogether right the answer as a decimal

Answers

Answer: 0.4

Step-by-step explanation:

⅕ + ⅕ = ⅖

Convert to decimal 0.4

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