Given an arc of a sector is three times its radius, find the angle subtended by the arc.​
HELP!!

Answers

Answer 1

Answer:

The angle subtended by the arc is 171.8873385 degrees (3 radians)

Step-by-step explanation:

The formula of the length of an arc of a sector is L = [tex]\frac{x}{360}[/tex] × 2 π r, where

x is the central angle subtended by the arcr is the radius of the circle

∵ An arc of a sector is three times its radius

L = 3r

→ Equate the formula of the length of the arc by 3r

[tex]\frac{x}{360}[/tex] × 2 π r = 3r

→ Divide both sides by r

∴  [tex]\frac{x}{360}[/tex] × 2 π = 3

→ Simplify the left side

∵  [tex]\frac{\pi }{180}[/tex] x = 3

→ Divide both sides by  [tex]\frac{\pi }{180}[/tex]

∴ x = 171.8873385°

The angle subtended by the arc is 171.8873385 degrees (3 radians)


Related Questions

In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?

Answers

Answer:

150 degrees

Step-by-step explanation:

180-20-10

Answer:

10 degrees

Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.

find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)​

Answers

Answer:

-3

Step-by-step explanation:

Finding the Equation of a Line Given Two Points:

Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the

equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-

intercept. So, how do you find the equation of a line? There are several different ways that you can find

the equation of a line. I find the equation of a line everytime by following the same three steps:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept. b=1

Step 3: Write the answer.

Using the slope of 3 and the y-intercept of 1, the answer is:

y = 3x + 1

A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour? Part A Estimate the quotient. Include an equation to show your work. Explain

Answers

Answer:

17.4 miles

Step-by-step explanation:

Step one:

given data

time takent= 3.5hours

distance = 60.9miles

the average speed is given as

Average speed= distance/time

Average speed= 60.9/3.5

Average speed= 17.4mph

Step two:

we are told that the speed was actually maintained, so we used the previous value obatained for the following computation

For a time taken as 1 hour, the distance will be

distance= average speed * time

distance= 17.4*1

distance= 17.4 miles

Answer:

Step-by-step explanation: A cyclist rode for 3.5 hours and completed a distance of 60.9 miles. If she kept the same average speed for each hour, how far did she ride in 1 hour?

Find the sum (5p+11)+(8p-4)

Answers

Answer:

13p + 7

Step-by-step explanation:

Combine your like terms!

Hope this helps!

Answer:
13p + 7

Explanation:
5p + 8p = 13p
11 - 4 = 7

What is the solution of 5/2x-7=3/4x+14

Answers

Answer:

x = 12

Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scarlett sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.

Answers

Answer:

The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Step-by-step explanation:

The data for a single day is s follows:

236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume.

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

[tex]P (X\leq 1)=1-P(X>1)[/tex]

               [tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]

Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

If A= {3 -2 and B= {0 -1 then what is AB?
1 4} 3 2}

Answers

Step-by-step explanation:

[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]

Please help? I've been trying for a while

Answers

Answer:

3 hours

Step-by-step explanation:

yes.

Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure

Answers

Answer:

In triangle ABC, angle B is obtuse.

Step-by-step explanation:

The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.

$624 = $12t

What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket

Answers

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

What is the value of the 100th term in this arithmetic sequence?

5, 7, 9, 11, ...

Answers

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

Help pls

Which point on the number line represents the rational
number-2 3/5?
23 ?

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

C is 3/5 of the way down on section -2

Answer:

Its A

Step-by-step explanation:

I just answered on edge

the radius of a circle is 4.53 inches what is the length of the circumference of the circle ?

Answers

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

How do you solve this

Answers

Answer:

<ABC=82°

< FEC=90°

Step-by-step explanation

need some help (Geo)​

Answers

60 degrees bc they are vertical angles

How many terms are in 12x - 3 = 18​

Answers

Answer: 1.75

Step-by-step explanation:

12x-3=18

+3 +3

12x=21

12 12

x=1.75

1.75



Becebabebdbdbdbdbddb

PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(

Answers

Answer:

stem: 5

leaf: 0, 6

stem: 6

leaf: 0, 2, 5, 6

stem: 7

leaf: 1, 5

stem: 8

leaf: 6

stem: 9

leaf: 9

i hope this helps <3

Step-by-step explanation:

At a jewelry store, the necklace costs $380.60, but the store is having
a 75% discount for Valentines Day. What is the new price of the necklace?
$95.15
O $190.30
O $266.42
$285.45

Answers

Answer: 95.15

Step-by-step explanation:

To find the answer, you have to multiply the original cost by the percent subtracted from 100. For example, 380.60 x .25=95.15

(I got the .25 from subtracting 100-75, and the 75 is the percent)

Answer: 95.15

Step-by-step explanation:

Multiply 380.60 by .75 and you get 285.45 subtract 380.60 and 285.45 and you should get 95.15

Solve the inequality of x. 2x + 6 < 18

Answers

The Answer isssssssss  x<6

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Answers

Answer:

10,2

Step-by-step explanation:

Can somebody answer this short word problem but show the steps when u get answer thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD

Answers

Answer:

8 dozen gingerbread men

Step-by-step explanation:

2 + 3 = 5

120 ÷ 5 = 24

24 x 4 = 96

96 ÷ 12 = 8

Answer: 8 dozens


Information:

-5 raisins for each gingerbread man
-Buys 4(120) raisins= 480 raisins
-Dozens


Steps:

Use the equation: 480=5x, where x=number of gingerbread man

Divide both sides by 5 to eliminate x

= x=96

Next, divide that by 12 because the question is asking how many DOZENS.


96/12 = 8


Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?

Answers

Answer:

Where's the graph? I need the graph to answer

Approximately 175 cups of tea can Christina expect to sell during the eighth hour.

We need to find how many cups of tea can Christina expect to sell during the eighth hour.

How to interpret the graph?

To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.

From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.

Therefore, 175 cups of tea were sold.

To learn more about the graphs visit:

https://brainly.com/question/16192791.

#SPJ5

What is the domain of the function represented by the graph?

Answers

Your answer will be B
I’m positive the answer is B!

Name each type of slope

Answers

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

What are the solution points for the system graph?
A)

(0,2)

B)

No solution

C)

(0,1)

D)

(0,0)

Answers

Answer:

if i right it (0,2)

Step-by-step explanation:

i hope u get it right

Answer:

No Solutions

The two equations do not have any intersecting points, so the answer would be zero solutions.

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

The third side is 36 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Mr. Gurung sold a bicycle for Rs 18,816 and made a profit of 12%. if he wants
to increase his profit by 3%, at what price should be sell the bicycle

please help me:(​

Answers

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

need help ASAP!!!! last minute hw i need to do

Answers

Our range is all set of y-values. Focus on y-value only.

Our range is {1,5,-1,7,-2}

So the answer is 1, 5,-1,7 and 2

the cost of 5 books and 4 pens is 115. if the cost of 1 book is RS 15 ,find the cost of 7 pens​

Answers

Answer:

The cost of 7 pens is RS 70

Step-by-step explanation:

Let c=the cost of one book and p=the cost of one pen

5b+4p=115

b=15

5(15)+4p=115

75+4p=115

4p=115-75

4p=40

p=40/4

p=10

7p=7*10

7p=70

The cost of 7 pens is RS 70

I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT.

Please help me

Answers

Answer:

Yeah

Step-by-step explanation:

1. understand time management

2. Value time.

3. use time wisely

4. take advantage of the opportunity of extra time.

5. smile, it's all linear! : )

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