In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.



What is the length of the arc?

Answers

Answer 1

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]


Related Questions

help please!! 10 points <3

Answers

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

X=5 exactly like that person said.

14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer

Answers

There are 7 days in a week.

The probability of being on any one day of the week would be 1/7

So the probability of a persons birthday being on a Sunday would be 1/7

Answer:

WELL THERE 7 DAYS IN THE WEEK

Step-by-step explanation:

❗️ASKED ONCE AND NO ONE ANSWERED, WILL MARK BRAINLIEST,,,,,,,,,,❗️. Five men and eight women work in a firm’s PR office. Their employer must choose two of them to attend a conference in Chicago. What is the probability of choosing one woman and one man to attend the conference?

A. 15/28
B. 6/13
C. 20/39
D. 8/15

MUST PROVIDE EXPLANATION

Answers

Answer:

I DONT KNOW BUTTTTTTT CAN YOU MARK ME BRANINLIST

Answer:

20/39

Step-by-step explanation:

Choose 2 out of 13 which is the total. this is 13C2

5 * 8 for one man and one women.

divide.


Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

cos A = 0.31, sin B = 0.89, tan C = 0.52

Answers

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

What is the surface area of a cube in which each face of the cube has an area of 7 cm??

Answers

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.

Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?

Answers

Answer:

4.8 dollars for 1 pound super nutty

The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?

Answers

Answer:

Final price f = 0.85x

Step-by-step explanation:

Let f represent the final price and

x is the original price of the lawn mower

Given;

The hardware store is having a 15% off sale on lawn mowers this weekend;

the final sales price,excluding tax will be equal to the original price minus 15% of the original price.

Final price f = 100% of x - 15% of x

Final price f = x - 0.15x

Final price f = 0.85x

Answer:

WHAT IS THE ANSWER?

Step-by-step explanation:

help mehhh

Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?

Answers

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

Work out the value of 58×5-2
54

Answers

Answer:

36

Step-by-step explanation:

58 times 5 is 290. 290-254 is 36

15 POINTS! will be selecting Brainliest!

How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!

Answers

Just divide the bottom numbers then when you figure that out you multiply the top number by the number you divided at the bottom

Does anyone know what 6.04 x 10^-3

Answers

Answer:

.00604

Step-by-step explanation:

when multiplying by a negative exponent move the decimal to the left

10^-3 move the decimal 3 spaces to left

.00604

Jamie wants to put tiles on the walls and floor of his room (but not on the ceiling). The length of his room is 10 ft, the width is 14 ft, and the height is 12 ft. If each tile is 1 ft long and 1 ft wide, how many tiles will Jamie need/

Answers

Answer:

Jamie would need 140 tiles.

Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50​ counters? nothing rows

Answers

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Answers

I think I don’t know sorry

Answer:

Can’t really understand your question!!

Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}

Answers

Answer:

See explanation

Step-by-step explanation:

[tex]2b^2-5b+2=0[/tex]

[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]

Hope this helps!

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses

Answers

Answer:

160 days

Step-by-step explanation:

If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!

The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?

Answers

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

Find the center and radius when x^2+y^2+4x-4y=17

Answers

Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:

[tex]x^2+4x+y^2-4y=17[/tex]

Now, you can begin to complete the square with both the x and the y:

[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]

Adding 8 to both sides and finishing the squares:

[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]

The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!

Brainliest!!!
What is 30 divided by 5?
Really Easy!

Answers

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.

Answers

Answer:

HAT       AM

HAM

MAT

AT

Step-by-step explanation:

(if you can repeat the letters)

THAT

hopefully this helps and i didnt miss any words

An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the number of cotton balls there teacher buys

Answers

Answer:

612

Step-by-step explanation:

9 x 68 = 612

I need help immediately with middle school

Answers

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals

Answers

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Can you please help me with this question please please help me

Answers

It’s the third one. Hope that helped!

Answer:

i think the answer is [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \geq \neq \sqrt{x} x^{2} \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \leq x_{123} \\\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

[tex]x^{2} \int\limits^a_b {x} \, dx \sqrt{x} \sqrt[n]{x} \frac{x}{y} \alpha x_{123}[/tex]

Four families are travelling. Order their speeds from least to greatest.

Sapons
80 km in 2 h

Silvers
180 km in 3 h

Johns
50 km in 1 h

Cunninghams
35 km in 30 min

(please help)​

Answers

Step-by-step explanation:

We're going to convert all of these to km/h.

Sapons: 80km/2h => 40kmh

Silvers: 180km/3h => 60kmh

Johns: 50kmh

Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh

Now that they're all in the same form we can put them from least to greatest.

Answer:

(Least) - Sapons

- Johns

-Silvers

(Greatest) - Cunninghams

A cookie fatory puts 1/4 of a barrel of flour into each batch of cookies.how much flour will the factory use for 5/6 batches

Answers

Answer:

3 1/3 batches

Step-by-step explanation:

you can divide 1/4 and 5/6 to find how many in each batch.

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?

Answers

Answer:

-3

Step-by-step explanation:

and

= -3

What could be the equation of p?

Choose 1 answer:

©

p(x) = 2(6x + 1)(x+3)

©

p(x) = 2(6x – ) (2 – 3)

© p(x) = + (6 +) (+3)

© pla) = = (***) (2-3)

Answer:

p(x) = (5x - 1) (x + 4) (x - 2)

Step-by-step explanation:

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