A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

Answers

Answer 1

Answer:

[tex]2\pi[/tex]

Step-by-step explanation:

first you take 60°/360°= 1/6   then you take 1/6 and multiple it by [tex]2\pi[/tex] and that equals [tex]\frac{\pi }{3}[/tex]   finally take  [tex]\frac{\pi }{3}[/tex]  times the radius (6) and that should equal [tex]2\pi[/tex]

PLATO USERS #platolivesmatters

Answer 2

The measure of the arc length associated with the angle is inches OR 6.28 inches

Calculating the length of an arc

From the question, we are to determine the measure of the arc length

The measure of the arc length can be calculated by using the formula,

[tex]l = \frac{\theta}{360 ^\circ}\times 2\pi r[/tex]

Where [tex]l[/tex] is the length of the arc

θ is the central angle

r is the radius of the circle

From the given information,

r = 6 inches

θ = 60°

Putting the parameters into the formula, we get

[tex]l = \frac{60 ^\circ}{360 ^\circ}\times 2 \pi \times 6[/tex]

[tex]l = \frac{1}{6}\times 2 \pi \times 6[/tex]

[tex]l =2\pi[/tex] inches OR 6.28 inches

Hence, the measure of the arc length associated with the angle is inches OR 6.28 inches

Learn more on Calculating the length of an arc here: https://brainly.com/question/12541510


Related Questions

Please show your work​

Answers

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

A school has to select one student to take part in a General Knowledge Quiz.Kelly and Rory took part in six trial quizzes. The following lists show their scores.Kelly 28 24 21 27 24 26Rory 33 19 16 32 34 18Kelly had a mean score of 25 with a range of 7.(a) Calculate Rory's mean score and range.(b) Which student would you choose to represent the school? Explain thereason for your choice, referring to the mean scores and ranges.​

Answers

Four apart



Hope this helps

WILL MARK!! pls help:)
Find x and y so that ABCD will be a parallelogram.

Answers

Answer:

your answer will be B. 46

Step-by-step explanation:

hope it helps you...

have a great day!!!

and the black flaure the ima Name a possible rotation and the degree in which it turned

Answers

Answer is in the file below

tinyurl.com/wpazsebu

M=2 can some one help me I need to evaluate the expression it says hint substitute m for 2

Answers

Answer:

LOL I NEED POINTS SORRY NOT SORRY

Step-by-step explanation:

2800cm cubed into litres

Answers

Answer: 2.8 liters

Please mark as brainliest

Step-by-step explanation

divide by the volume of 1,000

2,800 divided by 1,000 is 2.8 so it is 2.8 liters

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches

Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?

Answers

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.

Answers

1278 explains I want answers

The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Lets suppose here that:

A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a game

Suppose A' and B' are their complementary events, then we have:

A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in game

Then, by the given data, we have:

[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]

We've to find [tex]P(A' | B')[/tex]

Using chain rule, we have:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

Learn more about probability here:

brainly.com/question/1210781

simplify by distributive property 9-5b+5m​

Answers

Answer and Step-by-step explanation:

This is as far as the expression can be simplified.

The undistributed version of the expression is:

9 -5(b - m)

#teamtrees #PAW (Plant And Water)

−5b+5m+9 this should be the answer correct me if I’m wrong.

please answer!!!! will give brainliest

Answers

Answer:

8

Step-by-step explanation:

Hello There!

The median is the middle number of the set

So the first thing we want to do is put the numbers in order from greatest to least

0, 3, 4, 8, 10, 15, 20

Then we go to the middle number

The middle number is 8 so the answer is 8

Answer:

Im pretty sure its 10

resulve las siguientes operaciones matematicas en tu cuadernk​

Answers

Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.

10
HH
0 1 2 3 4 5 6 7 8 9 10
How would you describe the shape of the data in the dot plot below?
(5 Points)
bell shape
uniform distribution
skewed right
skewed left

Answers

Answer:

skewed left

Step-by-step explanation:

Please help I will give brainliest

Answers

it will become a square of 5x8 so answer is 40

In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40

Answers

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15​

Answers

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

We are required to determine the inequality that represents the sum of x and y is at most 15.

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Read more;

https://brainly.com/question/23382973

Line segment AB has endpoints A(2,7) and B(6,5). Line segment CD has endpoints C(0,2) and D(4, -6). Part A: Determine the slope of AB and CD. Part B: Can line segments AB and CD be two opposite sides of a parallelogram? Explain your reasoning.​

Answers

Answer:

slope of AB = -1/2

slope of CD = -2

No.

Step-by-step explanation:

slope of AB = (5-7)/(6-2) = -2/4=-1/2

slope of CD = (-6-2)/(4-0) = -8/4 =-2

for being two opposite sides of parallelogram, their slopes should be equal. But there slopes aren't equal

Geometry Question, Need help. Will give brainliest.

Answers

Answer:

i cant see the direction sorry :(

Step-by-step explanation:

Omar wants to determine cos(- (2pi)/3) using the ratios of the 30 degrees - 60 degrees - 90 degrees right triangle . How shoulc he use this information to determine cos(- (2pi)/7)

Answers

Answer:

its D

Step-by-step explanation:

The right angle triangle with 30-60-90 degrees is the special triangle in which these angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2. The value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Given information-

Omar wants to determine the  value of

[tex] \cos\dfrac{(-2\pi)}{3} [/tex]

As the degree is in the pi form. Use the conversion rate [tex]\dfrac{180}{\pi} [/tex] to convert the degree,

[tex]=\dfrac{(-2\pi)}{3} \times\dfrac{180}{\pi} [/tex]

[tex]=-120[/tex]

As the angle -120 degrees is in the third quadrant hence the reference angle is 60 degrees(by calculating as (180-theta).

30-60-90 triangle

Now the right angle triangle with 30-60-90 degrees measure angle. Such angle will have the side ratio of 1, [tex]\sqrt{3} [/tex] and  2.

Here 2 is the hypotenuse of the right triangle. The side opposite to the angle measure [tex]\sqrt{3} [/tex] and the side adjacent to the angle measures 1 in ratio.

Now the cos theta is the ratio of the adjacent side and hypotenuse thus,

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Negative sign is used for the third quadrant where x axis is negative.

[tex] \cos\dfrac{(-2\pi)}{3} =-\dfrac{1}{2} [/tex]

Thus the value of the [tex] \cos\dfrac{(-2\pi)}{3} [/tex] which Omar wants to determine is -1/2.

Learn more about the trigonometry here;

https://brainly.com/question/24236629

Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.

Answers

Answer:

D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Step-by-step explanation:

We have probability of having damaged apple = 13%

= 13/100

= 0.13

Sample size n = 10

Using the binomial distribution

P(X=x) = nCx * P^x(1-P)^n-x

Probability sample will have at least one damaged apple

= P(X>=1) = 1-p(x<1)

= 1 - P(X=0)

= 1-(10C0 *P⁰(1-0.13)¹⁰

= 1 - 1(1-0.13)¹⁰

= 1 - 0.87¹⁰

= 1 - 0.2484

= 0.7516

The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.

Answers

Answer:

Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).

Step-by-step explanation:

sorry if im late

Which triangle has 2 equal sides?

A) equilateral triangle

B) isosceles triangle

C) scalene triangle

Answers

Answer:

isosceles triangle is the correct answer

hope it helps

it has two equal sides

Answer:

B

Step-by-step explanation:

Isoceles triangle is defined by two equal sides

Point P is shown graphed on the coordinate grid as (6,4). In relation to point P, point A is located 2 units closer to the origin along the x-axis and 2 units farther from it along the y-axis. What would be the location of point A ?

Answers

Answer:

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

Step-by-step explanation:

The location of point A is defined by the vectorial sum of absolute coordinates of point P and coordinates of point A relative to coordinates of point P, that is:

[tex]A(x,y) = P(x,y) + \vec v_{PA}[/tex] (1)

[tex]P(x,y)[/tex] - Absolute coordinates of point P.

[tex]A(x,y)[/tex] - Absolute coordinates of point A.

[tex]\vec v_{PA}[/tex] - Vector to point A relative to point P.

If we know that [tex]P(x,y) =(6,4)[/tex] and [tex]\vec v_{PA} = (-2, 2 )[/tex], then the absolute coordinates of point A are:

[tex]A(x,y) = (6,4) +(-2,2)[/tex]

[tex]A(x,y) = (4,6)[/tex]

The coordinates of point A are [tex]A(x,y) = (4,6)[/tex].

The area of a rectangular flower bed is 12 square yards and the length is 4 yards. What is the
width?

Answers

Answer:

Step-by-step ex

L x W = Area

4 x W = 12

4 times what = 12?

3

So

L x W = A

4 x 3 = 12

The total surface area is _ square centimeters no freaking links bro

Answers

Answer:

180

Step-by-step explanation:

Find the area of each side by multiplying the length and width, times this answer by 2 since each face has another congruent face and then add them all up like (6*8*2)+(6*3*2)+(8*3*2)

Answer:   Im most likely wrong since I suck at this stuff, but I think its 180

Sqrt 40 =

round all answers to nearest tenth

Answers

Answer:

10

Step-by-step explanation:

sqrt 40 = 6.3

6.3 round to the nearest ten is 10

9514 1404 393

Answer:

  6.3

Step-by-step explanation:

Almost any calculator can tell you the square root of 40 is about 6.324555...

Rounded to the nearest tenth, that is √40 ≈ 6.3

Select the improper fraction that is not equivalent to the whole number 6

18/3
6/1
54/3
54/9

Answers

the one not equivalent to 6 as a whole is 54/3 as that equals 18.

Answer:

54/3=18

Step-by-step explanation:

18/3=6

6/1=6

54/9=6

Please need help thank

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

It has the most x's (rolls) compared to the other numbers rolled.

The measure of an angle is 165. What is the measure of its complementary angle?

Answers

Answer:

15

Step-by-step explanation:

Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.

Answers

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

 

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²

Other Questions
Why is Iran's government classified as authorian The length of adult King Cobra snakes is normally distributed with = 18 feet and = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13% Do you think racism is a thing of the past, or is it still prevalent in America? how is Hope Mikaelson a witch when her dad was a vampire and a worlf and her supposed mom is a wolf and a vampire find the real zeros of k(x)= x^3 - 2x^2 +2x -4 Within a population of rabbits, black fur (B) is dominant over white fur (b). A scientist observes 16% white rabbits on an island. The dominant allele frequency of this population is Frodo goes to New Army and buys two pairs of jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has acoupon for 25% off his entire purchase. Sales tax is 7 %. What is the total cost after the discount and tax? $ 109points plsss helpppppp now Marty and Becky are in the mood to have a hamburger for lunch. Marty wants to grill the hamburger outside instead of cooking it on top of the stove because he says he likes the taste of a grilled hamburger more than one cooked on top of the stove. The difference in taste Marty prefers is actually caused by the smell of the charcoal embedded into the hamburger. This is an example of sensory _____. Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished. O'Brien writes that what he remembers of Curt Lemon's death is Jensen's song. Why do youthink this is the case? What is the significance of this memory? hi please answer this xoxo will mark brainliest As a result of a thorough physical inventory, Sheridan Company determined that it had inventory worth $320800 at December 31, 2020. This count did not take into consideration the following facts: Herschel Consignment currently has goods worth $46300 on its sales floor that belong to Sheridan but are being sold on consignment by Herschel. The selling price of these goods is $74900. Sheridan purchased $22000 of goods that were shipped on December 27, FOB destination, that will be received by Sheridan on January 3. Determine the correct amount of inventory that Sheridan should report. What types of aquatic ecosystems are there?What are the similarities and differences between them? Just chillin' at the max 32-bit limit with two answers... The probability distribution for arandom variable x is given in the table.-10-505101520Probability.20.15.05.1.25.1.15Find the probability that x = -10 A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pools radius. She should have used 4 ft in the formula. Grendel and the dragon wage war for different reasons. What are these reasons? How are these different motivations related to the underlying themes of the epic? What character traitsdescribe Dorthea Dix? Which sentences contain a word with a suffix? Check all that apply.My friend's happiness is important to me.I will visit my friend at her home.Her smile brightens the room.We will talk about her new book.Her joyfulness delights me. The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by thecompany:Part A: What do the x-intercepts and maximum value of the graph represent?Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale andprofit?Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent? [tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?y=82(1.045)