What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30

Answers

Answer 1

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.


Related Questions

How can I multiply this without a claculator 4103 x 25?

Answers

You just mutiple 4103×25and it =102575

Here’s an example! Line it up like this, 4103
X 25
———-
The answer is 102575!

1 1/3 x 1/14
Help please

Answers

Step-by-step explanation:

=11/3×1/14

=3.67×0.07

=0.2568

Convert it to mixed numbers
1 1/3 = 4/3
So it becomes
4/3 x 1/14
Times across
So it becomes
4/42

Identify a pair of supplementary angles in the diagram below.​

Answers

Answer:

a & b

Step-by-step explanation:

Supplementary angles add up to 180°

Angles a and b are both on a straight line which the sum is 180°

I hope this helps.

solve 4x+y=24 and y=-4x+24 using substitution​

Answers

Answer:

no solutions

Step-by-step explanation:

[tex]4x + y = 24 - - - (a) \\ y = - 4x + 24 - - - (b)[/tex]

substitute for y in (a) with (b):

[tex]4x + ( - 4x + 24) = 24 \\ 0x = 0[/tex]

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

Suppose that an individual has a body fat percentage of 14.5% and weighs 184 pounds. How many pounds of his weight is made up of fat? Round your
answer to the nearest tenth.

Answers

9514 1404 393

Answer:

  26.7 lb

Step-by-step explanation:

The weight of fat is ...

  14.5% × 184 lb = 0.145 × 184 lb ≈ 26.7 lb

About 26.7 pounds of his weight is made up of fat.

Find the area of each shaded region. Show your reasoning.

Answers

maybe we could answer if there waas a pic=]

What is 3x+5=2x-2x+29?

Answers

Answer:

3+5=2−2+29

3x+5=2x-2x+293x+5=2x−2x+29

Solve

1

Combine like terms

}+293x+5=2x−2x+29

3+5=29

3x+5=293x+5=29

2

Subtract 

5

55

 from both sides of the equation

3

Simplify

2 more steps

Solution

=8

The answer you are looking for is

Solution/Explanation:

First, writing out the equation,

3x+5=2x-2x+29.

Next, making the equation more simple by subtracting 2x-2x, which is 0,

3x+5=0+29.

3x+5=29.

Now, subtracting 5 from both sides of the equation,

3x+5-5=29-5.

3x=24.

Finally, dividing both sides of the equation by 3,

3x/3=24/3.

x=8.

So, therefore, the final answer is x=8.

I hope this has helped answer your question. Enjoy your day, and take care!

Solvin
Is 5.787787778... a rational or irrational number?
Explain.

Answers

Irrational bc it doesn’t end at a point

Answer:

For a number to be rational, it must:

-terminate (0.5) or repeat (0.3333...)

-be able to be written as a fraction

If a number does not meet this criteria, then it is irrational. Thus, 5.787787778... is irrational.

Step-by-step explanation:

BRAINLIEST, PLEASE!

help with this plzzzzzzz

Answers

Answer:

x = 6

Step-by-step explanation:

According to the rules of segment addition, AB+BC=AC.

Since the length of AB is x+5, length of BC is 2x+10, and total length of AC is 33, we can create the equation: (x+5) + (2x+10) = 33.

To solve, we combine like terms: 3x + 15 = 33.

Subtract 15 from both sides: 3x = 18.

Divide both sides by 3: x = 6.

How would I write a number subtracted from 2 times a number is 19 as an equation?

Answers

Answer:

[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]

This is the answer

if wrong please correct me ! :)

state the domain: A= {(-3,2), (5,4), (7,-3)}

Answers

The required domain is [tex]\{-3,5,7\}[/tex].

Given:

A set of ordered pairs is:

[tex]A=\{(-3,2),(5,4),(7,-3)\}[/tex]

To find:

The domain of the given set of ordered pairs.

Solution:

Domain is the set of input values.

In the set of ordered pairs [tex](x,y)[/tex], then the set of all the [tex]x[/tex]-values is domain and the set of all the [tex]y[/tex]-values is range.

We have,

[tex]A=\{(-3,2),(5,4),(7,-3)\}[/tex]

In the above set of ordered pairs, the x-values are [tex]-3,5,7[/tex].

[tex]Domain=\{-3,5,7\}[/tex]

Therefore, the domain of the given set of ordered pairs is [tex]\{-3,5,7\}[/tex].

Learn more:

https://brainly.com/question/3269807

7 + 3x - 12x = 3x+ 1
Solve for x

Answers

2/3 using basic algebra

Answer:

x =  1 /2

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variable

decimal form will be: x =  0.5

hope that helps>3

How do i reflect triangle ABC if A (2,3), B (1,1), C(4,-3) over the x axis. Also rotating the triangle 90 degrees clockwise about the origin.

Answers

9514 1404 393

Answer:

  see attached. red = reflected; blue = rotated

Step-by-step explanation:

The relevant coordinate transformations are ...

  (x, y) ⇒ (x, -y) . . . . . reflection over the x-axis

  (x, y) ⇒ (y, -x) . . . . . rotation 90° CW

In the attached figure, the red triangle A'B'C' is reflected. The blue triangle A"B"C" is rotated.

__

Additional comment

Learning to visualize these transformations can take a little practice. It can help to draw the figure on a graph, trace it on another piece of paper or transparency, then move the copy to the new position relative to the old axes.

For reflection across the x-axis, the x-axis of the copy is aligned with the original, but the copy is flipped over so the old +y axis is aligned with the -y axis, and vice versa.

For rotation 90° CW, what was the +y axis becomes aligned with the +x axis, and what was the +x axis becomes aligned with the -y axis. That is, the figure is rotated 90° CW about the origin so anything in the first quadrant is moved to the 4th quadrant.

The quantities x and y are proportional.

Answers

Answer:

r = 1

Step-by-step explanation:

Given the equation of proportion

y = rx ← r is the constant of proportionality

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Choose any ordered pair from the table

Using x = 5.8 and y = 5.8 , then

r = [tex]\frac{5.8}{5.8}[/tex] = 1

The meter is defined as the _______________ traveled by _______________ in absolute vacuum in 1⁄299,792,458 of a second

Answers

Answer:

1.) Distance

2.) Speed of light

Step-by-step explanation:

Trying to find the equation for the pattern 5, 11, 18, 26, 35, 45​

Answers

Answer:

Step-by-step explanation:

[tex]u_{n+1}=u_n+n+5\\\Longrightarrow\ u_{n+2}=u_{n+1}+(n+1)+5\\u_{n+2}-u_{n+1}=u_{n+1}+n+1+5-u_n-n-5\\u_{n+2}=2u_{n+1}-u_n+1\\u_{n+3}=2u_{n+2}-u_{n+1}+1\\\\u_{n+3}-u_{n+2}=2u_{n+2}-u_{n+1}+1 -2u_{n+1}+u_n-1\\\\u_{n+3}-3u_{n+2}+3u_{n+1}-u_n=0\\\\\\Equation\ caract\' eristique:\\r^3-3r^2+3r-1=0\\(r-1)^3=0\\\\\boxed{u_n=a+b*n+c*t^2}\\\\u_1=5\\u_2=11\\u_3=18\\u_4=a+4*b+16*c=26\\u_5=a+5*b+25*c=35\\u_6=a+6*b+36*c=45\\\\[/tex]

a=0

b=9/2

c=1/2

Proof:

n=1 ==> u_1=1/2*(9+1)=5

n=2 ==> u_2=2/2*(9+2)=11

n=3 ==> u_3=3/2*(9+3)=18

n=4 ==> u_=4/2*(9+4)=26

n=5 ==> 5/2*(9+5)=35

n=6 ==> 6/2*(9+6)=45

...

Answer: i have found one that calculates differences when given a sigma with a sigma rule, you could adjust the formula for patterns, if you create a sigma equation and then apply the formulas and then make up a pattern that falls within it, knowing the connection is they go up in the same numbers or knowing it and for some patterns being able to solve it.  when given such a sigma problem such as n=1 sigma 3 is the end point 7n-1 is the rule, we would use the value of n until the end point 3, but consider 7n-1 equal to 6+13+20 which equals 39 since 7*1-1=6 and 7*2-1=13, 7*3-1=20 and 6+13+20 is 39. remeber it is equal to that since we plug the value of n from the starting point to the end point of any sigma. a1=7*n-1=6,a2=7*2-1=13,  7*3-1=21 is what you should manipulate for another sigma problem that calculates the diffrence of a sequence as well as its total. the one equation that calculates the total of your patterns is:∑_(n=0)^20▒〖7n-0=140〗

the ones i know to find that represent the patterns in terms of what it would be in the nth term is 58ns it represents what the pattern would be in the nth terms but it is not equal to the pattern.

    finding the nth term by looking for an expression to use for the nth term is the same as finding an expression representing the nth term. the nth term is is the numerical difference in the given series with the letter n on the right of that and the number from the beginning of a series in some cases. one more thing for a negative number at the beginning of a pattern you get the missing number i.e the numerical difference on the left and then and the function of the first number. for example:  there is a pattern going from -1 to 19 so the pattern would be -1, 3, 7,11, 15,19. the numerical difference is 4, n is the letter that would come after and -1 , -1 is a function in the area of nth term since the whole expression would be 4n subtracted by 1 and subtraction is a function, a function is a operation in mathes.          

Step-by-step explanation:        

11-5=6

18-11=7

26-35

45-35=10

6+7+35+10=13+45=58 (the differences added up)

5+11+18, 26+35+45​=140        

                                                                                                   

Suzannes school are painting a rectangular mural outside the buillding that will be 15 feet by 45 feet the students are also going to paint a smaller mural inside the building the scale is 1 unit = 3 feet

Answers

Answer:

THE LENGTH OF THE STUDENTS PAINTING=15/3=5

THE BREADTH OF THE STUDENTS PAINTING=45/3=15

AREA OF THEIR PAINTING=15×5=75

Find the midpoint of the line segment joining the points (-3,-2) and (-7,5)

Answers

Answer:

The midpoint is (-5,1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -3+-7)/2 = -10/2 = -5

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

( -2+5)/2 = 3/2 = 1.5

The midpoint is (-5,1.5)

You need to make 48 servings of roast beef gravy. Each serving takes .75 cups of brown stock. How many quarts of brown stock do you have to make

Answers

Answer:16 q

Step-by-step explanation:

Find the value of x,

Answers

Answer: x = -7

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

Given information

First Side = 7

Second Side = x + 14

Given expression deducted from the definition of an isosceles triangle

Second Side = First Side

Substitute values into the expression

x + 14 = 7

Subtract 14 on both sides

x + 14 - 14 = 7 - 14

[tex]\boxed{x=-7}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

3. Multiply: (x + 8)(x - 12)

Please show work

Answers

Answer:

x^2-4x-96

Step-by-step explanation:

x^2-12x+8x-96

=x^2-4x-96

Answer:

[tex] {x}^{2} + 20x + 96[/tex]

Step-by-step explanation:

[tex](x + 8) \times (x - 12)[/tex]

➡️ [tex]x \times (x + 12) + 8(x - 12)[/tex]

➡️ [tex] {x}^{2} + 12x + 8x + 96[/tex]

➡️ [tex] {x}^{2} + 20x + 96[/tex]

In the proof of the Law of Cosines, the equation [tex]c^2=h^2+(b-x)^2[/tex] was created using the Pythagorean theorem. Which equation is a result of expanding [tex](b-x)^2[/tex]?
A [tex]c^2=h^2+b^2-x^2[/tex]
B [tex]c^2=h^2+b^2-2bx+x^2[/tex]
C [tex]c^2=h^2+b^2+x^2[/tex]
D [tex]c^2=h^2+b^2-2bx-x^2[/tex]

Answers

9514 1404 393

Answer:

  B  c² = h² + b² -2bx +x²

Step-by-step explanation:

The square of the binomial can be expanded using the distributive property:

  c² = h² +(b -x)²

  c² = h² +(b -x)(b -x)

  c² = h² +b(b -x) -x(b -x)

  c² = h² +b² -xb -bx +x²

  c² = h² +b² -2bx +x² . . . . . matches choice B

There are 35 boys in band and 49 girls in band Ryan says the boys to girls is 5 to 7 is he correct or incorrect show how he is correct or incorrect

Answers

Answer:

He is correct.

Step-by-step explanation:

[tex]\frac{35}{49} =\frac{5}{7}[/tex]

He is correct
7x +5x=84 boys and girls
12x =84
x=7
7x7=49. 5x7=35

Simplify addition radical expression

√36+√64

Answers

Answer:

14

Step-by-step explanation:

√36+√64

√36=6

√64=8

6+8

14

THANK YOU

Can anyone help?
Plis

Answers

Answer:

B. 50%

Step-by-step explanation:

7/20 = 35%

35% + 15% = 50%

100% - 50% = 50%

white → 15%

red → 7/20 · 100% = 35/100 · 100% = 35%

blue → 100% - 35% - 15% = 50%

Answer: B)

Help please due today

Answers

Answer:

3.2=6

4.2=8

5.2=10

the scale factor is 2

Anthony has a bank balance of $45. Sara has a bank balance of -$90. Sean has a bank balance of -$208. Marsha has a bank balance of $153. Which is the smallest debt?

Answers

9514 1404 393

Answer:

  Marsha and Anthony

Step-by-step explanation:

Here a negative bank balance represents a debt. The larger the magnitude of the negative number, the more debt it represents. A positive bank balance corresponds to no debt.

Anthony and Marsha -- no debt . . . . smallest debt

Sara -- $90 in debt . . . . smallest non-zero debt

Sean -- $208 in debt

On those with non-zero debt, Sara has the smallest debt. Overall, Anthony and Marsha have the smallest debt: zero debt.

Find the median of the following set of data: 52,84,94,102,94,89,73

Answers

Answer:

Step-by-step explanation:

the median is 89, the mode is 94, and the mean is 84

Will give brainliest

Use the distributive property to simplify
the equation below.
7(x - y + 3) = [? ]x -
[ ]y
+

Answers

Answer:

7x - 7y + 21

Step-by-step explanation:

7(x - y + 3)

=> 7 × x - 7 × y + 7 × 3

=> 7x - 7y + 21

Answer:

[tex]7(x - y + 3) = 7x - 7y + 21 \\ thank \: you[/tex]

Use the slope formula to find the slope of the line through the points (−3,−6) and (0,3).

Answers

Slope= y/x so first let’s find the difference in the y coordinates. -6 and 3. -6 + 9= 3
So far we have 9/x, now on to the x coordinates. -3 and 0, -3 + 3 = 0
9/3 is the slope
now simplify and the slope is 3
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