The length of a room is 22feet by 12 feet. What is the ratio of the length of the room to its area ?

Answers

Answer 1

The ratio of the room's length to its area is 1:12, derived from length (22 feet) divided by area (264 square feet).

let's break it down step by step.

Step 1: Calculate the area of the room.

To find the area of a rectangle, you multiply its length by its width.

So, Area = Length × Width

Area = 22 feet × 12 feet

Area = 264 square feet

Step 2: Calculate the ratio of the length of the room to its area.

The ratio of length to area is:

[tex]\[ \text{Ratio} = \frac{\text{Length}}{\text{Area}} \][/tex]

Substituting the values:

[tex]\[ \text{Ratio} = \frac{22 \, \text{feet}}{264 \, \text{square feet}} \][/tex]

Step 3: Simplify the ratio.

[tex]\[ \text{Ratio} = \frac{22}{264} \][/tex]

Step 4: Simplify the fraction.

[tex]\[ \text{Ratio} = \frac{1}{12} \][/tex]

So, the ratio of the length of the room to its area is [tex]\( \frac{1}{12} \)[/tex].


Related Questions

How many times larger is 4 x 10 12 than 8 x 10 7?

Answers

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

Final answer:

To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.

Explanation:

To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:

[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]

Now, simplify:

First, simplify the division of the coefficients (4/8) which equals 0.5.

Then, subtract the exponents of 10, which is 12 - 7 = 5.

So, the final answer is:

[tex]0.5 * 10^5 = 5 * 10^4[/tex]

This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].

If Siobhan hits a 0.25kg volleyball with a 0.5 N of force , what is the acceleration of the ball ?

Answers

Answer:

Acceleration = 2 meters /second^2.

Step-by-step explanation:

Use Newton's Second Law of Motion:

Force = mass * acceleration.

0.5 = 0.25 * a

a = 0.5 / 0.25

a = 2 meters /second^2.

What expression represents 2 times the sum of 5 and 7

Answers

Answer:

2(5+7)

Step-by-step explanation:

2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)

Answer

(5 + 7) · 2

Step-by-step explanation

If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)

P = Parentheses {|} B = Brackets/Parentheses

That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.

Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft2 (squared), find the surface area of Cone A

Answers

Answer:

one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

The surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

How does scale factor affects the area and volume of a figure?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]

to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = [tex]k^2 \times[/tex] area of second figure

Similarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

Volume of first figure = [tex]k^3 \times[/tex] volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that:

The scale factor between cone A and cone B is 3:5

That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.

It means,

side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B

Also, as given, we have:

Surface area of cone B = 725 ft²

Assume that cone A's surface area is S, then we get:

surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B

[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]

Thus, the surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

Learn more about scale factor here:

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What is the simplest form of square root 1,764

Answers

[tex]\bf \sqrt{1764}~~ \begin{cases} 1764=&2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7\\ &2^2\cdot 3^2\cdot 7^2\\ &(2\cdot 3\cdot 7)^2\\ &42^2 \end{cases}\implies \sqrt{42^2}\implies 42[/tex]

i need help Distribute 7(5-3). What is the expanded form?

Question 3 options:

a (7 x 3) - (7 x 5)


b (7 + 5) - (7 + 3)


c (7 x 5) - (7 x 3)


d(7 x 5) + (7 x 3)

Answers

The answer is C
Goood luck broski

Answer: The answer to your question is C. (7*5) - (7*3)

Step-by-step explanation: because when you have an expression or equation in parentheses, you apply the distributive property to get rid of the parentheses:

The problem will now look like this:

[tex]7(5-3)= (7*5) - (7*3)[/tex]

And if they asked you for the answer in a whole number, it would be 14 because

7*5=35 and 7*3=21

35-21=14

So, therefore, the expanded form would be (7*5) - (7*3)

Calculate the sales tax on purchases totaling $15,245. The
sales tax rate is 8.25%.
$825
$16,070
$16,502.71
$1,257.71
$15,245​

Answers

Answer:

D. $1257.71

Step-by-step explanation:

Used my calculator. lol

Answer:

$1257.71.

Step-by-step explanation:

8.25% = 0.0825.

So the sales tax on $15,245

= $15,245 * 0.0825

= $1257.71.

The hypotenuse of a right angle triangle measures 12 units. what is the maximum possible area in square units, of the triangle ?

Answers

Answer:

The maximum possible area of the triangle is 36 units²

Step-by-step explanation:

Let

x, y the legs of the right triangle

Applying the Pythagoras Theorem

[tex]12^{2}=x^{2}+y^{2}\\\\144=x^{2}+y^{2}[/tex]

[tex]y=\sqrt{144-x^{2}}[/tex] ----> equation A

The area of the right triangle is equal to

[tex]A=\frac{1}{2}xy[/tex] ----> equation B

substitute equation A in equation B

[tex]A=\frac{1}{2}x(\sqrt{144-x^{2}})[/tex]

Using a graphing tool

The vertex of the graph is a maximum

That means

The x-coordinate of the vertex is the value of x for the maximum possible area of the triangle

The y-coordinate of the vertex is the maximum possible area of the triangle

The vertex is the point (8.485,36)

see the attached figure

therefore

The maximum possible area of the triangle is 36 units²

What is the slope of the points (-3, 5) and (-1, 4)?

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-3, 5) and (-1, 4). Substitute:

[tex]m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]

George rented a cab for his family for a day of sightseeing. The cab company charges $9 to pick up his family from the hotel and $0.25 per mile for the trip. If x represents the number of miles and y represents the total amount George pays, select the equation and the graph that correctly model this situation.

Answers

Answer:

1. y=0.25x+9

2. The graph that starts at 9 and the highest number is 11.

NOT THE ONE WITH THE HIGHEST NUMBER 15

Step-by-step explanation:

I got it right on edmentum

The equation that correctly models this situation y=0.25x+9.

What is a linear equation?

A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

calculation:-

⇒pickup charges of the cap company= $9

⇒charge for per mile = $0.25

⇒let the total distance traveled is X

⇒total amount George pays (y)=  0.25x+9.

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Can someone please help . Thank you !! :)

Answers

Answer:

1000 years

Step-by-step explanation:

1x10^11 is basically 100 billion

1x10^8 is basically 100 million

so 100 billion divided by 100 milllion is basically 1000

so 1000 years

Need Help Fast!!!!!!!!!!!!!!

Answers

-5(3)+13

=-15+13

=-2

Answer: g(3)= -2

ANSWER

g(3)=-2

EXPLANATION

The given function is

[tex]g(r) = - 5r + 13[/tex]

We want to find g(3).

We substitute r=3 into the given function to obtain:

[tex]g(3) = - 5 \times 3 + 13[/tex]

Multiply out the first term

[tex]g(3) = - 15 + 13[/tex]

Simplify the result to obtain:

[tex]g(3) = -2[/tex]

11 sq root 45-4 sq root 5

Answers

First evaluate the sq root of 45.
To do so, you have to find perfect square factors (2 x 2, 3 x 3, 4 x 4, and etc.)

The factors of 45 are 3 x 3 x 5.

Notice that there is a 3 x 3. That means you can get the 3 out of the square root and multiply with the number outside of the square root.

11(3)square root 5 - 4 square root 5

33 square root 5 - 4 square root 5

Subtracting and Adding square roots is the same thing as subtracting and Adding variables. If they have the same variable you can +/-. So if they have the same square root, then can +/-.

Answer: 29 square root 5

Answer:

[tex]29\sqrt{5}[/tex]

Step-by-step explanation:

We want to simplify:

[tex]11\sqrt{45}-4\sqrt{5}[/tex]

We need to simplify the first radical before we can subtract

[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]

[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]

This implies that:

[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]

[tex]33\sqrt{5}-4\sqrt{5}[/tex]

We have now obtained like surds.

We simplify to get:

[tex]29\sqrt{5}[/tex]

A student measures the mass of an 8cm^3 block of confectioners (powdered) sugar to be 4.49 grams. Determine the density of powdered sugar.​

Answers

Answer:

D=.56 g/cm^3

Explanation:

Density= mass/volume

D=4.49/8

D=.56 g/cm^3

Hope you get it!

An 8 cm³ block of confectioners sugar that weigh 4.49 grams would have a density of 0.56 g/cm³. Thus, the density of powdered sugar is 0.56 g/cm³

Calculating density

From the question, we are to determine the density of the powdered sugar

Density can be calculated by using the formula,

[tex]Density = \frac{Mass}{Volume}[/tex]

From the given information,

Volume = 8 cm³

and Mass = 4.49 g

Putting the parameters into the equation,

[tex]Density = \frac{4.49}{8}[/tex]

Density = 0.56125 g/cm³

Density ≅ 0.56 g/cm³

Hence, the density of powdered sugar is 0.56 g/cm³

Learn more on Calculating density here: https://brainly.com/question/11258429

Can someone plz explain compound areas thanks

Answers

Answer:

A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the missing lengths around the edge of the compound shape.

Step-by-step explanation:

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of the circle circumscribed about this triangle.

Answer in CM, please. Thanks!

Answers

Answer:

16cm

Step-by-step explanation:

To find the diameter we must first find the radius and multiply by 2.

The isosceles triangle that has the length of a leg to be 8cm and a vertex angle of [tex]120\degree[/tex] that has been circumscribed is shown in the attachment.

We draw a line from the vertex of the isosceles triangle that bisects the base through the center O of the circle.

This implies that [tex]m\angle OAC=60\degree[/tex].

Based on this [tex]m\angle ACO=60\degree[/tex] because the two radii are equal.

It follows that:[tex]m\angle AOC=60\degree[/tex] because sum of angles in a triangle must be 180 degrees.

This means that, triangle AOC is an equilateral triangle, hence all sides are equal.

One side of this equilateral triangle happens to be the side of the leg of the isosceles triangle which is 8cm.

It follows that, the radius of the circle is 8cm.

Therefore the diameter of the circle is 16cm

What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16

Answers

Answer:

[tex]y=\pm i \sqrt{7}[/tex]

Step-by-step explanation:

Given equation is [tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

Factor denominators then solve by making denominators equal

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]y\left(y+4\right)-4\left(y-4\right)=9[/tex]

[tex]y^2+4y-4y+16=9[/tex]

[tex]y^2=9-16[/tex]

[tex]y^2=-7[/tex]

take squar root of both sides

[tex]y=\pm \sqrt{-7}[/tex]

[tex]y=\pm i \sqrt{7}[/tex]

Hence final answer is [tex]y=\pm i \sqrt{7}[/tex].

What's the area of this rectangle?

Answers

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}[/tex]

Simplify.

(-2x2yz3)(-2x3y4z2)2

(Some of these numbers are exponents, not integers.)

Answers

Answer:−8x8y9z7

Step-by-step explanation:

If (-1, y) lies on the graph of y = 3x+1, then y =

0
1/3
1

Answers

Answer:

y = -2

Step-by-step explanation:

We have a point (-1,y) on the graph of y = 3x + 1

When x = -1 then,

y = 3(-1) + 1

y = -3 + 1 = -2

Answer:

If the question is  "If (-1, y) lies on the graph of y = 3^x+1, then y = 1"

So the answer is 1

Step-by-step explanation:

The area of a rectangle is 4g^2- h^2. Use Factoring to find the dimensions of the rectangle.

Answers

Answer: [tex](2g+h)[/tex] and [tex](2g-h)[/tex]

Step-by-step explanation:

The area of a rectangle is obtained by multiplying its lenght by its width.

You know that the area of this rectangle is [tex]4g^2- h^2[/tex], then you need to apply the Difference of squares to find the dimensions of this rectangle.

Remember that the Difference of squares is:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Then, applying this, you get:

 [tex]4g^2- h^2=(2g+h)(2g-h)[/tex]

Therefore, now you know that the dimensions are:

[tex](2g+h)[/tex] and [tex](2g-h)[/tex]

the length and breadth of rectangle are [tex]2g - h[/tex] and [tex]2g + h[/tex] respectively

The given expression for the area of the rectangle is [tex]4g^2 - h^2[/tex]

This expression is a difference of squares, which can be factored using the formula: [tex]a^2 - b^2 = (a - b)(a + b)[/tex]

Now by comparing both equations we can factor as follows:

[tex]4g^2 - h^2 = (2g)^2 - h^2\\\\4g^2 - h^2 = (2g+h)(2g-h)[/tex]

We know that area of a rectangle is a product of its length and breadth so we can say that:

Length: 2g - h

Breadth: 2g + h

So, the length and breadth of rectangle are [tex]2g - h[/tex] and [tex]2g + h[/tex] respectively

Math the graph with the correct equation

Answers

Answer:

the answer is d and please accept my friend request

Step-by-step explanation:

Tj worked for 5 hours and 45 minutes how should he write that on his time card

Answers

Answer:

Tj should write 5.75 hours on her time card.

Step-by-step explanation:

We have been given, Tj worked for 5 hours and 45 minutes.

We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.

[tex]\frac{45 minutes }{60} \times\frac{hour}{minutes}[/tex]

=0.75 hours

Hence, Tj should write 5.75 hours on her time card.

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, , is drawn from the right angle to the hypotenuse. What is the length of ?

Answers

Answer:

8 units

Step-by-step explanation:

mid point of hypotenuse of right angled isosceles triangle is equidistant from three vertices.

length of altitude=16/2=8

The question is incomplete, here is a complete question.

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, GJ, is drawn from the right angle to the hypotenuse.

What is the length of GJ?

A. 2 units

B. 4 units

C. 6 units

D. 8 units

Answer : The correct option is, (D) 8 units

Step-by-step explanation :

Given:

Length FH = 16 unit

As we know that a altitude between the two equal legs of an isosceles triangle creates right angles is a angle and opposite side bisector.

Thus,

Length FJ = Length HJ = [tex]\frac{16}{2}[/tex] = 8 units

As, the triangle is an isosceles. So, length GF = length GH = x unit

First we have to determine the value of 'x'.

Using Pythagoras theorem in ΔFGH :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](FH)^2=(GF)^2+(GH)^2[/tex]

Now put all the values in the above expression, we get :

[tex](16)^2=(x)^2+(x)^2[/tex]

[tex]256=2x^2[/tex]

[tex]x^2=128[/tex]

[tex]x=8\sqrt{2}[/tex]

Thus, length GF = length GH = x unit = [tex]8\sqrt{2}[/tex]

Now we have to determine the length GJ.

Using Pythagoras theorem in ΔGJH :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](GH)^2=(GJ)^2+(HJ)^2[/tex]

Now put all the values in the above expression, we get :

[tex](8\sqrt{2})^2=(GJ)^2+(8)^2[/tex]

[tex]128=(GJ)^2+64[/tex]

[tex](GJ)^2=128-64[/tex]

[tex](GJ)^2=64[/tex]

[tex]GJ=\sqrt{64}[/tex]

[tex]GJ=8[/tex]

Thus, the length of GJ is, 8 units.

I promise brainliest and it very simple I promise....
Given the following values, which point would be considered an outlier?

X Y
1 0.9
2 2.1
3 3.2
4 3.9
5 7.4
6 5.8
7 7.2
8 8
9 9.1

A. (2, 2.1)
B. (9, 9.1)
C. (8, 8)
D. (5, 7.4)




Answers

Answer:

D (5,7.4)

Step-by-step explanation:

This is because all of the other (x,y) vales are close together in number and this is an outlier because it stands out from the group.

The answer is D. (5, 7.4)

Find the Surface area. Round your answer to the nearest hundredth.
A.555.72 ft2
B. 568.40 ft2
C. 570.20 ft2
D. 575.31 ft2

Answers

Answer:

C

Step-by-step explanation:

The answer is C.

Hope this helps :)

A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. Each cracker measures 2 inches in length by 1 1/2 inches in width. The volume of the column is 15 inches cubed. If there are 40 crackers in the column, what is the height of each individual cracker?
A-3/40 in
B- 1/8 in
C-1/5 in
D- 3/8 in

Answers

Answer:

b 1/8 inch

Step by step

just got right on ed

The height of each individual cracker in the vertical column is 1/8 inches.

What is the height of each individual cracker ?

The height of each individual cracker can be determined by dividing the volume of the column by 40 and the area of each cracker.

Area of each cracker = 2 x 1 1/2

= 2 x 3/2 = 3 inches

Height of each individual cracker = 15/40 x 3 = 1/8 inches

To learn more about the volume, please check: https://brainly.com/question/26406747

given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the standard unit vector i and j.

Answers

Answer:

v=3i+8j

Step-by-step explanation:

The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).

To find the components of vector v, we subtract the terminal points from the initial point to obtain.

v=<1,2>-<-2,-6>

v=<1--2,2--6>

v=<1+2,2+6>

v=<3,8>

As a linear combination of the standard unit vectors.

v=3i+8j

Use the equation below to find a, if b = 5 and c = 12

a = 27 - b - c

Answers

Answer: 10

a=27-5-12=10

A= (27-5)=22-12=10

A=10

39. Find the length of each arc shown in red. Leave your answer in simplified radical form.

Answers

Answer:

The length of the arc shown in red is [tex]\frac{22}{9}\pi\ in[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=4\ in[/tex]

substitute

[tex]C=2\pi (4)[/tex]

[tex]C=8\pi\ in[/tex]

step 2

Find the length of the arc in red

Remember that the length of the circumference subtends a central angle of 360 degrees

so

by proportion find the length of the arc by a central angle of 110 degrees

[tex]\frac{8\pi}{360}=\frac{x}{110}\\ \\x=8\pi*110/360\\ \\x=\frac{880}{360}\pi\ in[/tex]

Simplify

[tex]\frac{880}{360}\pi=\frac{22}{9}\pi\ in[/tex]

Other Questions
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