what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?​

Answers

Answer 1

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.


Related Questions

Find the inverse of g(x)=2x-3

Answers

Answer:

g^-1(x)=x/2+3/2

Step-by-step explanation:

38) The length of a rectangle is 15.6 cm correct to 1 decimal place.
The width of a rectangle is 3.8 cm correct to 1 decimal place.

Calculate the lower bound for the perimeter of the rectangle.

Answers

Answer:

38.75

Step-by-step explanation:

perimeter = 2(15.6+3.8) =38.8

lower bound = the smallest value that would round up to the estimated value =38.75

Write 4 3/7 as a decimal.

Enter your answer as a decimal rounded to the nearest hundredth
Please help, and answer quickly please

Answers

Answer:

4.3

Step-by-step explanation:

17. Given f(x) = 3x - 1, find f(2)

Answers

Answer:

5

Step-by-step explanation:

you have to replace 2 were there's x in the function

f(2)=3(2)-1

=6-1

=5

I hope this helps

Johannesburg is is 3/5 as tall as his sister. Johannesburg is 90cm tall. How tall is his sister

Answers

Johannesburg's sister is 54cm tall

Explanation:

3/5 = 0.6

0.6 * 90 = 54

54 is 3/5 of 90, therefore Johannesburg's sister is 54cm tall

Mark buys last year's best-selling novel, in hardcover, for $23.20. This is with a 20% discount from the original price. What was the original price of the novel?

Answers

Answer:

[tex]29[/tex]

Step-by-step explanation:

Let x be the original price.

( 1 - 20% ) x = 23.2

[tex] 0.8x = 23.2[/tex]

[tex] \frac{0.8x}{0.8} = \frac{23.2}{0.8} [/tex]

[tex] x = 29[/tex]

Simplify (6+5x)+(7x+3)

Answers

Answer: 12x + 9

Step-by-step explanation:

Given

(6 + 5x) + (7x + 3)

Put like terms together

=5x + 7x + 6 + 3

Combine like terms

=[tex]\boxed {12x+9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Round 475,805 to the nearest ten thousand.

Answers

475,805 rounded to the nearest ten thousand would be 476,000.

a number is multipilied by 6, and that the sum is equal to the product of 2 and 19. find the number

Answers

Answer:

[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]

what is the location of the circumcenter of triangle abc

Answers

Step-by-step explanation:

The circumcenter is the centre of the circumcircle. All the vertices of a triangle are equidistant from the circumcenter.In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle.

if my answer helps you than mark me as brainliest

Simplify each expression -(20+d)

Answers

Answer:

-20 -d

Step-by-step explanation:

-(20+d)

Distribute he minus sign

-20 -d

Find the perimeter of this figure.
14 m
12 m
18 m
6 m
[? ] = meters

Answers

Answer:

The perimeter of it is going to be 50

Step-by-step explanation:

This is because when finding the perimeter you add up all the sides so

14 + 12 + 18 + 6 = 50

Answer:

50 m

Step-by-step explanation:

Perimeter

= Sum of the length of all sides

= 14 m + 12 m + 6 m + 18 m

= 50 m

b. ¿Qué fracción representa el total de sillas ocupadas durante los tres días?
vean la imagen estoy en examen pliss ayudAAAAAAAAAAA

Answers

No se losientoooooo también estoy en examennn

The fraction that represents the total number of seats occupied during the three days is 1.

The total number of seats in the auditorium is 200.

On day 1, 40% of the seats were occupied. So, 40/100 * 200 = 80 seats were occupied on day 1.

On day 2, 35% of the seats were occupied. So, 35/100 * 200 = 70 seats were occupied on day 2.

On day 3, 25% of the seats were occupied. So, 25/100 * 200 = 50 seats were occupied on day 3.

The total number of seats occupied during the three days is 80 + 70 + 50 = 200 seats.

The fraction that represents the total number of seats occupied during the three days is 200/200 = 1.

Here is the solution in mathematical form:

Let x be the fraction that represents the total number of seats occupied during the three days.

Then, x * 200 = 80 + 70 + 50

x = (80 + 70 + 50) / 200

x = 1

Therefore, the answer is 1.

To learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

If 1 pounds = 4 cups then 2 cups = ?
PLEASE HELP I AM STUCK

Answers

Answer:

1/2 pound

Step-by-step explanation:

Answer:

2 cups is equal to 0.5 pounds.

Step-by-step explanation:

4 divided by 2 is 2 and 1 pound divided by 2 is 0.5.

Find the root(s) or zero(s) of the function.

Answers

Answer:

-1/2  ,  3

Step-by-step explanation:

In order to find the roots of the function 2x² - 5x - 3  

We have to solve the quadratic equation :

2x² - 5x - 3 = 0

Calculating the discriminant Δ :

Δ = b² - 4ac

  = (-5)² - 4(2)(-3)

  = 25 + 24

  = 49

Then

√Δ = √49 = 7

Determining the Zeros :

[tex]x=\frac{-b+\sqrt{b^{2}-4ac} }{2a} = \frac{5+7} {2 \times (2)} =\frac{12}{4} =3[/tex]

or

[tex]x=\frac{-b-\sqrt{b^{2}-4ac} }{2a} = \frac{5-7} {2 \times (2)} =\frac{-2}{4} =\frac{-1}{2}[/tex]

Please answer this question

Answers

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

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

while the right hand side becomes

[tex]\log{27} - \log{x} = \log{\frac{27}{x}}[/tex]

so we end up with

[tex]3x^2 =27 \Rightarrow x = 3[/tex]

which statement is true regarding the functions on the graph
A. f(6)= g(3)
B. f(3)=g(3)
C. f(3)=g(6)
D. f(6)=g(6)
I think it's C due to where they meet but I'm not sure​

Answers

It’s actually B.

The number in the parentheses is about the x-value.
f and g intersect when x=3, so f(x) = g(x) when x=3

Or f(3) = g(3)

Sin theta = 3/4, what are the values of cos theta and tan theta?

Answers

Answer:

[tex]\displaystyle \cos(\theta) = \frac{\sqrt{7}}{4}[/tex].

[tex]\displaystyle \tan(\theta) = \frac{3\sqrt{7}}{7}[/tex].

Step-by-step explanation:

By the Pythagorean identity, for any given angle [tex]\theta[/tex], [tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex].

Given that [tex]\displaystyle \sin(\theta) = 3/4[/tex], solve this equation for [tex]\cos(\theta)[/tex].

[tex](\sin(\theta))^{2} + (\cos(\theta))^{2} = 1[/tex].

[tex]\displaystyle \left(\frac{3}{4}\right)^{2} + (\cos(\theta))^{2} = 1[/tex].

[tex]\begin{aligned} \cos(\theta) &= \sqrt{1 - \frac{9}{16}} \\ &= \sqrt{\frac{7}{16}} \\ &= \frac{\sqrt{7}}{4} \end{aligned}[/tex].

The tangent of an angle is equal to the ratio between the sine and cosine of that angle. In this question:

[tex]\begin{aligned} \tan(\theta) &= \frac{\sin(\theta)}{\cos(\theta)} \\ &= \frac{3/4}{\sqrt{7}/4} \\ &= \frac{3}{\sqrt{7}} \\ &= \frac{3\sqrt{7}}{7}\end{aligned}[/tex].

Find all values of c such that 3^2c+1=28*3^c-9. If you find more than one value of c, then list your values in increasing order​

Answers

[tex]3^{2c} + 1 = 28\times3^c - 9 \implies 3^{2c} - 28\times3^c = -10[/tex]

Complete the square on the left side:

[tex]3^{2c} - 28\times3^c = \left(3^{2c}-28\times3^c+14^2\right)-14^2 = \left(3^c-14\right)^2 - 196[/tex]

Then the equation becomes

[tex]\left(3^c-14\right)^2 - 196 = -10 \\\\ \left(3^c-14\right)^2 = 186 \\\\ 3^c - 14 = \pm\sqrt{186} \\\\ 3^c = 14\pm\sqrt{186}[/tex]

Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:

[tex]\log_3\left(3^c) = c = \log_3\left(14\pm\sqrt{186}\right)[/tex]

Then in increasing order, the solutions are

c = log₃(14 - √186), c = log₃(14 + √186)

James is selling a bike on an internet auction website. he pays £1.45 insertion fee, £2.85 for an enhanced advert and a selling fee of £1.95 when the bike is sold. what are his total selling fees to the nearest pound (£)

Answers

Hello :D

£1.45 + £2.85 = £4.30

£4.30 + £1.95 = £6.25

£6.25 to the nearest pound = £6.00

Answer: Selling fees = £6 (rounded to the nearest pound)

Step-by-step explanation:

Given information

Insertion fee = £1.45

Enhanced advert = £2.85

Selling fee = £1.95

Given expression deducted from the given information

Total = insertion + enhanced advert + selling

Substitute values into the expression

Total = (1.45) + (2.85) + (1.95)

Simplify by addition

Total = 4.3 + (1.95)

Total = 6.25

[tex]\boxed{Total=6}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

using 3 discs complete the puzzle. what is the smallest number of moves you can find

Answers

The minimum number of moves is 7

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​

Answers

Step-by-step explanation:

since < 5 = < 8, so,

< 7 = < 6 = 29°

and < 5 = 90° - 29° = 61°

Which of the following number(s) rounds to 0.18?
Select all that apply.
A. 0.17714
B. 0.18582
C. 0.18321
D. 0.17217

Answers

Answer:

it's A or C

Step-by-step explanation:

because if it was be it would round to .19 but c and a round to .18

Please help What's the volume of a cube with a side length of 9 cm? Question 19 options: 701 cm³ 729 cm³ 697 cm³ 752 cm³

Answers

729. Volume is length times width times height. So 9x9x9

$8,375.79 to the nearest thousand

Answers

Answer:

$8,000

Step-by-step explanation:

8,375.79 < 8,500 so it will round to 8,000

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The answer is $8,000

(PLEASE EXPLAIN HOW YOU GOT THE ANSWER) Which inequalities are true? Select the four correct answers.
0 less-than StartRoot 8 EndRoot
StartRoot 8 EndRoot less-than 3
StartRoot 8 EndRoot greater-than StartRoot 7 EndRoot
StartRoot 8 EndRoot less-than 2
StartRoot 8 EndRoot greater-than 8
1 less-than StartRoot 8 EndRoot

Answers

9514 1404 393

Answer:

  T, T, F, F, T

Step-by-step explanation:

First of all, it is helpful to know ...

  √8 ≈ 2.8284

  √7 ≈ 2.6458

Now you can check the inequalities:

0 < √8 < 3 . . . . . . true√8 > √7 . . . . . . . . true√8 < 2 . . . . . false√8 > 8 . . . . . false1 < √8 . . . . . . . . . . true

0, 1, 2, and √7 are left of √8 on a number line, so are all less than √8.

3 and 8 are right of √8 on a number line, so are greater than √8.

Answer:

T, T, F, F, T.

Step-by-step explanation:

Person above is correct!!

-3/5×(2/9×10/7)
what's the answer ​

Answers

Answer:

-4/21

Step-by-step explanation:

-3/5×20/63

-3×4/63

-4/21

You have 3 fair 6-sided dice. You repeatedly roll all 3 at once, until all 3 of them show thesame number. What is the probability that you have to tryat leasttwice

Answers

Answer:

35/36  or about 0.972

Step-by-step explanation:

The probability of rolling the same number

first die 6/6

second die 1/6

third die 1/6

1(1/6)(1/6) = 1/36

so there is a 35/36 chance that you will not get it done on the first roll and need to attempt at least one more time.

Which of the following collections of subsets of the plane, R2
, are partitions?
(a) {{(x; y) | x + y = c}| c  R}
(b) The set of all circles in R2
(c) The set of all circles in R2
centered at the origin together with the set {(0; 0)}
(d) {{(x; y)} | (x; y)  R

Answers

Answer: Choice A

[tex]\{(x,y) | \ \ x+y = c, \ c \in \mathbb{R}\}[/tex]

Explanation:

The notation for choice A basically says "we have a line of the form x+y = c where c is a real number". Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house. There are no gaps or overlaps (ignore the regions in the walls).

Take note that if a point is on a line like x+y = 5, then it cannot be on any other line of the form x+y = c, where c is not equal to 5. Something like (x,y) = (2,3) is on x+y = 5 and not on any other line. If c is allowed to be any real number, then x+y = c will be able to partition the real numbers.

Put another way, we can pick any real number we want (aka the number c) and break it down into a sum of x and y values. Such a sum cannot yield any other c value. So going back to the house/room analogy, any particular (x,y) ordered pair will belong to one and only one room.

Let's look at an example of a non-answer. Choice B is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions. This idea also means choice C is false as well.

Choice D can be ruled out because the notation should be (x,y) in R2 and not simply R.

The collections of subsets of the plane, R2 is (a) {{x,y) : x + y = c} : c ∈ R}

What is a subset ?

If X is a subset of Y then all the elements of A also contained in B.

According to the given statement we have o determine which of the following collections of subsets of the plane R2.

R2 defines a two dimension plane.

x+y = c where c is a real number.

Then points on the line in the form (x,y) will form a particular partition. A partition is where we break a set up into non-overlapping subsets and there are no gaps. Think of it like breaking up a house into multiple rooms. Each room is a subset of the house.

Take note that if a point is on a line like x+y = 7, then it cannot be on any other line of the form x+y = c, where c is not equal to 7. Something like (x,y) = (3,4) is on x+y = 7 and not on any other line.

B. Is not correct because it is perfectly possible to have circles intersect. Intersecting circles share at least one common point. Those common points are what break the idea of partitions.

C. is false as well

D. Is ruled out because the notation should be (x,y) in R2 and not simply R.

Learn more abouts subsets and planes here :

https://brainly.com/question/24490838

#SPJ2


Kelly works two jobs. She usually works at a retail store for 5 hours during the day and is paid $7.18 per hour by the store. In the evening she works at a restaurant as a
manager for 7 hours and is paid $20.68 per hour. How much does she make on average per hour for the day?

Answers

Answer:

Think of two or three jobs with which you are familiar, perhaps a teacher, a retail worker, a nurse, or a police officer.

In each case, indicate why the employment contract is necessarily incomplete. What important parts of the person’s job—things that the employer would like to see the employee do or not do—cannot be covered in a contract, or if they are, cannot be enforced?

Step-by-step explanation:

Other Questions
1. What is the length of AD?(1 point)D AB+++-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5.6 78 9 100170150701 PLEASE Help!!!! Jeanne makes jewelry and has an idea for a new pair of earrings. She wants to make a sketch of her design, but only has a marker, a pencil, two pieces of paper, and a coffee mug. Use these items to construct the shape of the earring Jeanne is envisioning.Step 1: Jeanne traced her coffee mug on her piece of paper. How might she use paper-folding to find the center of the circle? (2 points) Step 2: Show how a second circle should be drawn in order to continue the construction. What can you say about the radii? Explain your work. (4 points) Step 3: Describe the final steps in constructing the shape of the earring. Include a drawing.(2 points) identify one way that you can exercise control over heredity and the effect it has on your health (PLEASE HELP!!) Write the standard form of the line that has a slope of - 3/4 and y-intercept of -2. Include your work in your final answer. Of the four symbolic representations of different matter below, identify which best represents a single element. Which atom keeps the electrons closer to it most of the time? (the one with the electrons onchains in the picture) I need help! Please explain if you can!I need to find the csc A, sec A, and cot A. adding -ing to a verb turns it into what? What would happen to a plant if the chloroplasts in its cells became damaged? x8 define mitochondria. In triangle ABC, m ZA = 47, m ZB = 62. m ZC =a. 81b. 61C. 71d. 51 what did the japanese believe about the dropping of the bomb Jacob, Mila et Nathan collectionnes les.cartes de.hockey. Mila possede 120 carte de plus que Jacob et Nathan possede le.double du nombre de.carte de.Mila. Ensemble, ils ont 1600 cartes. combien chacun possede t-il? Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket. one halfx + 8 = 15 one halfx 8 = 15 one halfx + 15 = 8 one halfx 15 = 8 Factor this polynomial completely.x2 - 81 If n(U)= 50, n(A)= 30, n(B) = 20 and n(AUB)= 45, find i) n(A) ii) n(B) ii) Express in Venn diagram Role o vision, mission,and objectives in entreprenial development in Nigeria businesses? Pls describe write a letter to your mother telling her about your new friend Find the adjectives including the articles a, an, and the in the following sentence and the words being modified. The heavenly music and the glittering decorations made it an unforgettable night.