Solve the following proportions

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

[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:

https://brainly.com/question/15451496

#SPJ3

Answer:

y = m x + b     is the standard form of a straight line

m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6

When x = 0 y = b from the equation for a line

y = - 8

So our equation is  

y = -6 x - 8

As a check let x = -2 then

y = (-6 * -2) - 8 = 12 - 8 = 4

Check on the graph to verify that this equation holds

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

550.5323531336038

Step-by-step explanation:

I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor

Answer:

Step-by-step explanation:

AREA: 42 cm^2

h = 14 cm

area of a triangle formula:

[tex]\frac{height * base}{2} \\\frac{14 * base}{2} = 42[/tex]

(14)(base) = 42 * 2

(14)(base) /14 = 84 /14

base = 6 cm

Answer:

x=11

Step-by-step explanation:

It seems that the two angles are supplementary.  Soo they add up to 180

Thus,

15+15x=180

Solve for x...

15x=165

x=11

Hope this helps!!!

Answer:

127

Step-by-step explanation:

Given :

On differentiating,

At x = 2

First differentiate

So

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]

[tex]\\ \rm\Rrightarrow 60x+7[/tex]

Put x=2

Answer:

[tex]\boxed{70 \ \text{units}^{2}}[/tex]

Step-by-step explanation:

I assume that the polygon is made up of a rectangle and two triangles. Thus, the area of the polygon is the area of the triangles and the rectangle.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\text{Area of polygon} = \text{Area of rectangle} + \text{Area of triangle}_{1} } + \text{Area of triangle}_{2}[/tex]

➡ [tex]\text{Area of polygon}= 49 + 7 + 14[/tex]

➡ [tex]{\bold{Area \ of\ polygon = 49 + 21 = \underline{70 \ units}^{2}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

5/12

is the correct answer

see my question and come there now females

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answer:

56

Step-by-step explanation:

The largest exponent is the degree.

this only has one exponent so the degree would be 3

Answer:

r = 3 yds

Step-by-step explanation:

The perimeter of a quarter circle is 1/4 of a circumference of the circle AND two straight edges that are the length of the radius. see image.

The circumference is given and using 3.14 for pi, we'll then solve for r. see image.

Answer:

74km

Step-by-step explanation:

7 + 7  = 14

15 + 12 = 27

5 + 8 = 13

9 + 11 = 20

14 + 27 = 41

41 + 13 = 54

54 + 20 = 74

Answer:

63.6

Step-by-step explanation:

63.625

63.6

Answer:

63.6

Step-by-step explanation:

The tenth's place is one after the decimal point, and since 2 is closer to zero than ten, the 6 stays the same, making the answer 63.6.

Hopefully this helps- let me know if you have any questions!

Step-by-step explanation:

i answered these 3 already.

Answer:

1/3

explanation:

so probability:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Number of Favorable outcomes (red)= 2

Total outcomes = 6

So, the probability of getting red is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3} [/tex]

[tex]・ ．━━━━━━━†━━━━━━━━━．・[/tex]

Answer:

divide fifty out of one hundred times thirty. so x equals to fifteen hours

Step-by-step explanation:

To find out how much she spent:

30 - 27.15 = 2.85

Change it to cents:

2.85 x 100 = 285 cents

Calculate how many yards of ribbon she bought:

285 / 19 = 15

Therefore, she bought 15 yard of ribbon.

Answer:

C

Step-by-step explanation:

Remark

The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.

Volume Original Shape

Each side of the figure is one side of a square.

So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)

The window is 2*2 which is 4.

The volume of the original shape is 36 - 4 = 32

Volume new shape

Each side of the figure is 12 by 12 = 144    With no window

The size of the window is 4 by 4 =   16   With the window (Subtract)

The size of the modified figure is    128

Answer and discussion

The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet.  So you need Subtract to find the difference..

Answer: 128 - 32 = 96 which is C.

Answer:

137 chairs

Step-by-step explanation:

6*24=144.

144-7=137.

please mark as brainliest.

The exponential function that shows San Francisco area after x years is y = 49(0.98)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let y represent the land area of San Francisco after x years. Hence:

The city is only about 49 square miles in area, a = 49. It is losing 2% yearly, hence b = 100% - 2% = 0.98

The equation becomes y = 49(0.98)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

C. 3000

Step-by-step explanation:

i took the quiz!

also 60 and 3000 line up

Answer:

C 3,000

Step-by-step explanation: It's right on Edge

Answer:

Hope this helps!

since  y = - 3x and y = x - 4

we have

- 3x = x - 4

4x = 4

x = 1

and then y = - 3 * 1 = - 3

(1 ; - 3)

Answer:

(1,-3)

Step-by-step explanation:

y = -3x

y= x-4

Substitute -3x for y in the second equation

-3x = x-4

Subtract x from each side

-3x-x = x-4-x

-4x = -4

Divide each side by -4

-4x/-4 = -4/-4

x=1

Now we can find y

y = x-4

y = 1-4

y= -3

(1,-3)

Answer:

-4

Step-by-step explanation:

-8/2=-4

So you do -8-2/4-2, which is the average rate formula.

3x - 3= x + 5

=> 3x - x = 5 + 3

=> 2x = 8

=> x = 8/2

=> x = 4

Answer:

4

Step-by-step explanation:

3x - 3 = x+5

=> 3x = x+5+3            ( transposing method)

=> 3x-x = 5+3

=> 2x = 8

=> x = 8/2

=> x = 4

Answer:

4(5c-2d)

Step-by-step explanation:

if you mean in factorization

Answer:

379.94

Step-by-step explanation:

A = πr²

A = 3.14(11 in.)²

A = 3.14(121 in²)

A = 379.94 in.²