Mathematics High School

What is the arc length of an arc with a central angle of 23π radians in a circle with a radius of 18 cm?

Enter your answer to the nearest whole centimeter in the box.

cm

Answers

Answer 1

Answer:

[tex] \displaystyle 38 cm[/tex]

Step-by-step explanation:

We want to find the are length of an arc with a central angle of 2π/3 and a radius of 18cm

Remember the formula of arc length

[tex] \displaystyle l_{ \text{arc}} = \theta r [/tex]

Where:

r is the radius[tex] \theta[/tex] is in radian

Here,

[tex] \theta \implies 2π/3[/tex]r ⇒ 18cm

Now substitute the value of [tex] \theta[/tex] and r into that formula and simplify.

[tex] \displaystyle l_{ \text{arc}} = \frac{2}{3}\pi\cdot 18\\ \implies l_{ \text{arc}}=12\pi\\ \implies l_{ \text{arc}} \approx \boxed{ 38}[/tex]

NB: It should be (2/3)π not 23π

Related Questions

Please can someone help I’ll mark as brainliest!! Just need a reason and answer pls

Answers

Answer:

70

Step-by-step explanation:

x is 70

because it is in an alternate interior angle so XCB s 55 . the trianle is an isosceles triangle so XBC is also 55. 55 + 55 = 110 . 180 - 110 = 70

Find the slope and y-intercept of the line 4x - 2y = 8

Answers

Answer:

The slope is 2 and the y intercept is (0, -4)

Step-by-step explanation:

Put the line in slope intercept form, y = mx + b, where m is the slope and b is the y intercept.

4x - 2y = 8

Subtract 4x from both sides

4x - 2y = 8

-2y = -4x + 8

Divide each side by -2

y = 2x - 4

So, the equation in slope intercept form is y = 2x - 4.

The slope is 2 and the y intercept is (0, -4)

write an equarion of point slope form of the line that lasses through the point (2, -8) and has a slope of 4​

Answers

Answer:

y = 4x -16

Step-by-step explanation:

y+8= 4(x-2)

y+8=4x-8

y= 4x - 16

this is probably easy but if y’all wants thank and a branliest answer who ever is first and right will get brainliest

Answers

Answer:

See below.

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary

WV = 9

VT = 13

m<R = 50°

m<T = 130°

m<V = 50°

HELP ILL GIVE BRAINLIEST

Answers

Answer:

3/5 as a decimal is 0.6

Step-by-step explanation:

the product of two fractions is 2/3. One fraction is 3/5. what is the other fraction

Answers

Answer:

10 / 9

Step-by-step explanation:

Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3

We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:

5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3

This simplifies to:

x = 10 / 9

The product of two numbers is 54 one of the factors is one what is the other factor

Answers

I don't really understand your question but to me what it sounds like is you just want the factors so here:

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

The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.

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

anyways bye now!

- sleepyhugs

I don't quite understand your question...

The factors of 54 are 1, 2, 3, 6, 9, 18, 27 and 54.

Hiiii need help again :( sorry but uh it’s all in the pic <3

Answers

Answer:

Hello! Mizuki here to help

The correct answer would be B

Step-by-step explanation:

Number of people who didn't get flu and weren't vaccinated:115

21/2:3 and 16:6 proportions

Answers

Answer:1st one 2:3=4:6=6:9=8:12=10:15

2nd one 16:6=8:3=32:12

Step-by-step explanation:

What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!

Answers

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

You work full-time and make $17 per hour. What is your gross annual income?
27
$8160

$680
$35,360


$36,720

Answers

Answer:

Your welcome

Step-by-step explanation:

$8160 the hours would be 480

$680 the hours would be 40

$35,360 the hours would be  2,080

$36,720 the hours would be 2,160

HELP ME PLEASEE



Given that 4, 5x and 16 are the first three terms of geometric progression

Find:
(1)
the possible values of x,

(2)
the sum of the first ten terms if all the terms are positive.
​

Answers

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

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

Explanation:

r = common ratio

first term = 4second term = (first term)*(common ratio) = 4rthird term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

5x = 4r4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

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

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

a = 4 = first termr = 2, since we want all the terms to be positiven = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

Jimy traveled the entire route of the parade, but his suster Jemima only traveled along Elm Street. How much further did Jimmy travel than Jemima?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Jimmy \to[/tex] Entire Route

[tex]Jemima \to[/tex] Elm Street

Required

How much more did Jim travel

The question is incomplete, as the resources to calculate the distance covered by both are not given.

To solve a question like this;

First, calculate the distance by both, then subtract the smaller distance

Take for instance, after calculating the distance, you have:

[tex]Jimmy= 850m[/tex]

[tex]Jemima = 500m[/tex]

The difference d is:

[tex]d = 850m - 500m[/tex]

[tex]d = 350m[/tex]

i.e. Jimmy traveled 350m much more

Solve 1. 1
- x -
2 3​

Answers

Answer:

give the question properly I will answer then

What is an equation of the line that passes through the points (0, -3)(0,−3) and (-5, 3)(−5,3)?

Answers

Answer:

y = 6/5 x -3

Step-by-step explanation:

Standard equation of a line is expressed as;

y = mx+b

Slope m = y2-y1/x2-x1

Given the coordinates  (0, -3)and (-5, 3)

Slope m = 3-(-3)/-5-0

Slope m = 6/5

Since the line cuts the y axis at y = -3, hence b = -3

GEt the required equation;

Recall that y = mx+b

y = 6/5 x + (-3)

y = 6/5 x -3

This gives the required equation

Answer: −6/5x-3

Step-by-step explanation: DeltaMath

what is the slope of all of these ​

Answers

Answer: i caint see well but this is waht i got for the slope

a: 1/5

b: 3/3

c: 3/1

D: 3/7

e: i caint see it well

Step-by-step explanation: to find slope you coutn the rise and then thr run and you put the rise first and then the run at the bottom rise/run

The number of customers at JJ’s Hair Salon in February represented a 15% decrease from the number of customers in January.
A. Write an expression to represent the number of customers in February, using the variable j to represent the number of customers in January.

B. Simplify the expression you wrote for part A to a single term.

C. Using your answer from part B, explain, in words, how the number of customers in February is directly related to the number of customers in January, as a percent.

Answers

Answer:

Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

5) A man has a collection of dimes and nickels worth $4.20. There are twice as many
nickels as dimes.

Answers

17.64 I believe sorry if I got it wrong
=420 explanation: 4.20 divided by 2= 2.10x2=420

hello please help i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

The answer I believe is $5.44

Mark's computer weighs 35.769 pounds.
What is the weight of his computer
rounded to the nearest hundredth?

Answers

Answer:

you have to round up so it would round up to 35.800

Step-by-step explanation:

B is the midpoint of AC. if AB = x+5 and BC = 2x-11, find the measure of AB

Answers

Answer:

2 is the answer

Step-by-step explanation:

Answer:

AB = 21

Step-by-step explanation:

Since B is the midpoint of AC , then

BC = AB

2x - 11 = x + 5 ( subtract x from both sides )

x - 11 = 5 ( add 11 to both sides )

x = 16

Then

AB = x + 5 = 16 + 5 = 21

In the diagram, line g is parallel to line h.

Which statements are true? Select all that apply.

Answers

Answer:

I'm on the same question and I only got

∠2≅∠7 because they are alternate exterior angles

The sum of angle ∠4 and ∠6 is 180°.

as my answers, and I don't know if they're right, but if you are still on it then you can choose one of those.

Two Step Equation

42 + 5t = 8t

Answers

t=14

5t=8t-42

5t-8t=42

-3t=-42

t=14

Answer:

t=14

Step-by-step explanation:

42+5t=8t

      -5t -5t

42 = 3t

the udivide3

t=14

can yall help me plz
20 pt

Answers

Answer:

t=0.45n

Step-by-step explanation:

1.8/4=4.5

6.75/4=4.5

t=0.45n

If this helps please mark as brainliest

find the area of the triangle

Answers

Area should be 80
0.5x20x8

PLZZ HELP, ILL GIVE BRAINLIEST AND PLEASE DONT PUT A LINK

Answers

Answer:

i think it is b but not sure

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

she still needs at least 20 or more

Hans Klobber sells vacuum cleaners. He gets to keep
one eighth of his sales as a commission. How much
must he sell in order to earn $1000?

Answers

Answer:

$8000

Step-by-step explanation:

(1/8)x = 1000

multiply both sides by 8

x = 8000

arie's airplanes tracked the number of television advertisements they ran along with the corresponding airplane sales. this table displays how the number of advertisements relates to their total sales. the data can be modeled by a quadratic function.

what function best models the data?

Answers

Answer:

y = 7.8x² +317x +1

Step-by-step explanation:

Just finished the exam & I got it wrong...  copied the correct answer from the review.

Given: DE and DF are midsegments of ABC
Prove: DE = 1/2 AC

1. midsegments DE and DF: given

2. DF ll BC and AC ll DE: Midsegments are || to the non-included side of the Δ.

3. AB is a transversal cutting DF and BC.

AB is a transversal cutting AC and DE: definition of transversal line

4. m∠FAD = m∠EDB
m∠ADF = m∠DBE: Corresponding Angles Theorem

5. AD = BD: definition of midpoint

6. DBE ≅ ADF: ASA

7. A F = 1/2 AC: definition of midpoint

8.

9. DE = 1/2 AC: Transitive Property of Equality

What is the missing step in this proof?

Answers

Answer:

D. DE = A  .  F

Reason:  Corresponding sides of congruent triangles are congruent.

Step-by-step explanation:

I got it correct (they won't let me put an A and an F next to each other ???)

Jamie ran the first 2000 meters in 6 minutes. At that rate, how long would it take Jaime to run 5000 meters?

Answers

Answer:

15 minutes

Step-by-step explanation:

To figure this out, you can create a ratio. If we say the first 2000 miles is the 1 in the ratio, the ratio would be 1 : 2.5. Since it took 6 minutes for the first 2000, you have to multiply 6 by 2.5 to get your answer of 15 minutes.

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