a tether ball is tied to a rope and can rotate 230 degrees. If the rope has a radius of 6 ft, find the actual length the ball can travel in one rotation of 230 degrees

Answers

Answer 1
I’m not sure but I think like 37
Answer 2

The actual length the ball can travel in one rotation of 230 degrees is approximately 24.06 feet.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We are given that;

The angle= 230 degrees

Radius of rope= 6ft

Now,

If the tether ball is tied to a rope with a radius of 6 ft and can rotate 230 degrees, then the length of the rope that the ball travels in one rotation can be found using the formula for the circumference of a circle, which is:

C = 2πr

where C is the circumference of the circle, r is the radius of the circle, and π is the mathematical constant pi (approximately equal to 3.14).

To find the length the ball can travel in one rotation of 230 degrees, we first need to convert 230 degrees to radians by multiplying it by π/180.

230 degrees * π/180 ≈ 4.01 radians

Now we can calculate the length of the rope that the ball travels in one rotation of 230 degrees using the formula:

L = rθ

where L is the length of the rope traveled by the ball, r is the radius of the circle (the length of the rope), and θ is the angle traveled in radians.

L = 6 ft * 4.01 radians

L = 24.06 ft

Therefore, by the given angle the answer will be approximately 24.06 feet.

Learn more about angle, arc length relation here:

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Related Questions

ΔA'B'C' was constructed using ΔABC and line segment EH.

2 triangles are shown. Line E H is the line of reflection. Line segment B B prime has a midpoint at point D. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.

For to be the line of reflection between and , which statements must be true? Select three options.

BD = DB'
DF = FG
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.

Answers

Answer: 1,3,4

Step-by-step explanation:

Answer: 1., 3., and 4.

Step-by-step explanation: On Edge!!

that are equivalent to 4(3x + 3)

Answers

Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .

Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .

What is the circumference

Answers

25.1 yards
multiply the radius by 2 and multiply that number with pi and you get your answer of 25.1 yards

3. Si:{3x− (a − 2)y = 13 4x+ ay = 5 Es un sistema compatible determinado,determina el valor que no puede tomar “

Answers

Answer:   yes  

Step-by-step explanation:

Each tick mark shows 1 third. What's
1
3
more than 1?
2

1
2
3
1
3
0

Answers

Answer:

Step-by-step explanation:

1/3 more than 1 is 1 1/3 or 4/3.

How do I solve this problem step by step?

Answers

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

Trapezoid

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

Rectangle

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

Total area

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²

The owner of a music store ordered new compact disks. Of the new compact disks ordered,1/4 are Jazz, 2/7 are Classical, and the rest of the compact disks are Soft Rock. What fraction of the compact disks ordered are Soft Rock? ​

Answers

The fraction of the compact disks ordered  by the owner of the music store that are Soft Rock is 13/28.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above while the denominator is the number below.

What fraction is Soft Rock?

1 - (1/4 + 2/7)

1 -[ (7 + 8) /28]

1 - 15/28 = 13/28

The population of Hampton was 7,490 people when Malik moved there. Currently it is 10% smaller. What is the current population?
people

Answers

Answer:

6741

Step-by-step explanation:

if its 10% smaller you would have to do the original precent, which is 100%, and subtract 10%, (90%) then divide 90 by 100 to get 0.9 and  multiply it by the total population, in this case 7,490, and you get your answer. i hope this helps :)

If a person is behind on his debt payments and goes to a responsible credit counseling service, what help is likely to be offered?
a.They can cancel and cut up his credit cards without his permission.
b.They can force those who loaned him money to forgive his debts.
c.They can get the federal government to apply his income taxes to pay off his debts.
d.They can work with those who loaned him the money to set up a realistic payment schedule.

Answers

Answer:

d

Step-by-step explanation:

I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic

Consider this composite figure made of a cone and a cylinder. a cone has a height of 8 centimeters and radius of 3 centimeters. a cylinder has a height of 7 centimeters and radius of 3 centimeters. what is the volume of the cone? cone v = 1 3 bh v = 1 3 πr2h v = 1 3 π32(8) v = 1 3 π(9)(8) v = 1 3 π(72) the cone has a volume of π cm3

Answers

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]

Then we have

[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

24

Step-by-step explanation:

Got it right on the question

c) d) When 3 is subtracted from the number, the remainder is 5.​

Answers

Answer:

so the equation would look like this, x - 3 = 5

the number or x = 8

Step-by-step explanation:

8 - 3 = 5

Hope this helps! :)

9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.

Answers

Answer :- 7½ or 8 ( explained below)

Explanation:-

Given :-

9 halves for family6 halves for friends

So in total :- 15 halves for both of them

It means :- 7½ cupcakes in total u required

if u can buy an half cupcake then u need to buy :- 7½

If u can't but an half cupcake then u need to buy :- 8

Answer:

Step-by-step explanation:

8 for learning games

19. Which of the following statements about the number line is true?
A. Numbers get smaller as you move to the left on the number line.
B. Number lines can't help you compare numerals.
O C. Numbers get larger as you move to the left on the number line.
D. Number lines end with the number 10.

Answers

Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

A- 5 = 31
0.5b - 5 = 31
2c - 5 = 31

Answers

Answer:

what is the question?

Step-by-step explanation:

18 less than the quotient of a number and -5 is greater than 3

Answers

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

Determine whether each relation is a function. Explain. {(2,0), (2, 2), (2, 4), (2, 6)}​

Answers

A function is the relationship between an independent variable (x) and a dependent variable (y). A function can only occur when the independent variable are limited to one use. A function in this case is determined by the { } symbol.

This example is not a function, as the independent variable (2) appears more than once.

The rule is that the independent variable(x) cannot appear more than once as the same value and the dependant variable(y) can appear more than once as the same value.

Hope this helps!

For each set of three lengths, determine if they can be the side lengths of a triangle.

Answers

Answer:

Yes, No, Yes, No

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

4 + 8 = 12 > 9, so Yes

2) 7, 25, 7

7 + 7 = 14 < 25, so No

3) 8.8, 24, 15.8

8.8 + 15.8 = 24.6 > 24, so Yes

4) 5, 9, 3

3 + 5 = 8 < 9, so No

The area of a square is 9ft find the area of a square with 4 times as large

Answers

Well the square root of 9 is 3 so 3 is the length of each side. 3x4=12 so 12x12=144 . The area of the second square is 144 in2.

Answer:

36ft

Step-by-step explanation:

9ft times 4ft= 36ft

helppppppppppppppppppppppp

Answers

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

Answer:

0.13 meters

Step-by-step explanation

In metric measures the conversion from meters to centimeters is

1 meter = 100 centimeter

because centi means one hundredth and meter means the unit meter.

Therefore, 1 cm = 0.01 meter. Now you just multiply 13 on both sides and you get 13 cm = 0.13 meters

2. A football is punted into the air. Its height h, in metres, after t seconds is given by the equation
h(t) = -4.91? + 24.5t + 1
a) How high is the ball after 1 second?

b) Find the maximum height of the ball to one decimal place.

c) When does the ball reach its maximum height?

d) When does the ball hit the ground?

Answers

Answer:

I'll assume the ? is supposed to be t^2

See the answers below.

Step-by-step explanation:

h(t) = -4.91t^2 + 24.5t + 1

a) How high is the ball after 1 second?

h(1) = -4.91*(1)^2 + 24.5*(1) + 1

h(1) = 20.59 meters

b) Find the maximum height of the ball to one decimal place.

We can find the maximum height by graphing or by taking the first derivative and setting it equal to zero (the slope is zero at the top of the curve):

  First Derivative

 h(t) = -4.91*(t)^2 + 24.5*(t) + 1

'h(t) = -9.82*(t) + 24.5

0 = -9.82*(t) + 24.5

9.82t = 24.5

t = 2.49 seconds is the time the ball reaches maximum height.  Use that is the equation to find the height:

h(2.49) = -4.91*(2.49)^2 + 24.5*(2.49) + 1

h(2.49) = 31.6 meters

  Graph

See attached graph.  The maximum height occurs at t = 2.49 seconds and the height is 31.6 meters.

c) When does the ball reach its maximum height?

From the first derivative calculation above, t = 2.49 seconds to reach maximum height.  The graph also shows 2.49 seconds.  Better hurry.

d) When does the ball hit the ground?

The can be determined by either direct calculation of from the graph (attached).

Calculation:  

 h(t) = -4.91t^2 + 24.5t + 1

0 (ground) = -4.91t^2 + 24.5t + 1

4.91t^2 - 24.5t - 1 = 0  Solve with the quadratic equation.  I get t = 5.04 seconds

 Graph:

The graph shows 4.95 seconds.  Both agree when rounded to one decimal point:  5.0 seconds.

HELP PLEASE I NEED IT NOW.

Answers

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

help! complete the table with the missing measurements. the perimeter is 40ft is that helps

Answers

therer sorry for the cropped pic btw lol

Solve the system using substitution
y+8x=10
2y-4x=40
(_,_)

Answers

No lo se bro eso es de secundaria yo voy en primaria xd

Step-by-step explanation:

i used the two methods....I hope this will help you!

What is the constant term in the expression 8xy − 9x2 y − 5x 6

Answers

Answer:

6

Step-by-step explanation:

A constant is a term without a variable.

Every other number has a variable (x,y) to it except for 6.

Feel free to save this for whenever you get stuck on things like this! I know this section is hard.

In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm 8xy-9x^2+y-5x+6[/tex]

Let's denote it with f(x,y)

[tex]\rm f(x,y) =8xy-9x^2+y-5x+6[/tex]

As we know the constant term means which cannot be changed that values are fixed or fixed quantity.

From the above expression, the constant value in the expression is 6

Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Learn more about Polynomial here:

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683+1738x175220=


Chose you answer:

304533043. 194739421. 345802178. 643221. 24753


I need help please give correct answer

Answers

The answer is 304,533,043 just trust me on this one plus you can use a calculator to check
Using the order of operations, PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
683+1738x175220
683+304,532,360
304,533,043

I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets can I make

Answers

Answer:

answer is 15

please that is what I'm thinking

A bicycle costs $240 and it loses 3/5 of its value each year.

A. Write expressions for the value of the bicycle,in dollars, after 1,2, and 3 years

B. When will the bike be worth less than $1?

Answers

Answer:

  A.  $96.00, $38.40, $15.36

  B.  after 6 years

Step-by-step explanation:

An exponential function has the general form ...

  y = (initial value) × (growth factor)^t

__

A.

The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...

  y = 240(1 -0.60)^t

We want the value after t=1, t=2, and t=3 years.

  y = $240(0.4)^1 = $96 . . . value after 1 year

  y = $240(0.4)^2 = $38.40 . . . value after 2 years

  y = $240(0.4)^3 = $15.36 . . . value after 3 years

__

B.

We want to find t when y < 1.

  240(0.4)^t < 1

  0.4^t < 1/240 . . . . . . . . . . . . divide by 240

  t × log(0.4) < log(1/240) . . . take logs

  t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0

  t > 5.98

The bike will be worth less than $1 after about 6 years.

_____

Additional comment

For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.

A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 6?
A. 13/2

B. 7/26

C. 2/13

D. 6/52

Answers

Answer:

C

Step-by-step explanation:

There are 4 aces and 4 sixes. 4 + 4 is 8 (since it says or) so the chance is 8 / 52. 8 / 52 simplified, divide both sides by 4 and you get 2 / 13.

Answer:

C

Step-by-step explanation:

there are 4 aces and 4 sixes in a deck of 52 cards.

"And" means a probability * another probability

"Or" means a probability + another probability.

In this case, it is (probability of picking an ace) + (probability of picking an six).

[tex]\frac{4}{54} + \frac{4}{54} = \frac{8}{54} = \frac{2}{13}[/tex]

Please pick as brainliest!

a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.
Then find the area, in square feet, of the mat.

Answers

Concept :-

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

Given Information :-

A rectangular mat with,

Perimeter = 36 ft. Length = twice the width

To Find :-

The dimensions of the matArea of the mat

Formula Used :-

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

Solution :-

Let the breadth of the mat be x, therefore,

Length = 2x

Now, according to the question,

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

Length = 2x = 2 x 6 = 12 ft. Breadth = x = 6 ft.

Now, we have to find out the area of the mat, thus,

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

Unit 10: circles homework 2: central angles & arc measures

Answers

The central angle (127 degrees) is the angle at point K

The measures of JL and JML are 127 and 233 degrees, respectively

How to determine the measures of angles JL and JML?

From the complete question, we have:

JL = 127 degrees.

The sum of angles at a point is 360 degrees

So, we have:

JML + 127 = 360

Subtract 127 from both sides

JML = 233

Hence, the measures of JL and JML are 127 and 233 degrees, respectively

Read more about circles and arcs at:

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