The Fergusons reported making the following payments during the year:

State income taxes of $4,400. Federal tax withholding of $4,000.
Alimony payments to John’s former wife of $10,000.
Child support payments for John’s child with his former wife of $4,100.
$3,200 of real property taxes.
Sandy was reimbursed $600 for employee business expenses she incurred. She was required to provide documentation for her expenses to her employer.
In addition to the $750 of Web design expenses, John attended a conference to improve his skills associated with his Web design work. His trip was for three days and he incurred the following expenses: airfare $370, total taxi fares for trip $180, meals $80, and conference fee of $200.
$3,600 to Kid Care day care center for Samantha’s care while John and Sandy worked.
$14,000 interest on their home mortgage.
$3,000 interest on a $40,000 home-equity loan. They used the loan to pay for a family vacation and new car.
$6,000 cash charitable contributions to qualified charities.
Donation of used furniture to Goodwill. The furniture had a fair market value of $400 and cost $2,000.
a. What is the Fergusons’ 2017 federal income taxes payable or refund, including any self-employment tax and AMT, if applicable? (Use the 2017 AMT exemptions.) (Round your answer to 2 decimal places.)



Answers

Answer 1
Answer: $1,601.10 refund, computed as follows: Description Amount Explanation Gross income: Note: Sandy’s reimbursement for her employee business expenses is excluded from gross income. Salary $81,000 ($52,000 + $29,000) 
Answer 2

Answer:163.46


Step-by-step explanation:



Related Questions

Of the 5th grade boys, 2/3 play sports. Of the boys who play sports, 1/4 play baseball. what fraction of the 5th grade boys play baseball?

Answers

So, to find this rate, we simply multiply the two fractions together:
2/3 * 1/4
2/12
Simplify:
1/6 of the 5th grade boys play baseball

400,000 + 80,000 + 4,000 + 50 + 9 Write the standard form of the number shown above.

Answers

Add:

 400,000
   80,000
      4,000
           59
--------------
484,059 (answer)
Hello there, and thank you for posting your question here on brainly.

Short answer: 484,059

Why?

This equation shown is an expanded form of a number. 400k is the largest number, so that'd go first. 80k is the second largest, so that would go next to the largest number, 4. (400k) 4k is the third largest, so that'd go next to the first and second largest numbers, 48. (480k) Now, we have 484,000. Since there is no hundred, we put a zero there. Now, add a 59 at the end of the zero. Which gives us the number 484,059.

Hope this helped you! ♥

Let μ = 160 and σ = 16. find the z-score for the score, x = 150.

Answers

Put the given values in the formula
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
and evaluate.
  z = (150 -160)/16 = -10/16
  z = -5/8

The z-score for the score x=150 is -5/8 = -0.625.

identify the type of conic section that has the equation 4x^2+25y^2=100 and identify its domain and range.

Answers

To obtain the domain and the range, I will give you the graph of the section so that you can understand better.
4x^2+25y^2=100 
The range:
set y=0, and solve for x:
4x^2=100
x^2=25
x=+/-5
thus the domain is:
[-5,5]

Range:
set x=0 and solve for y:
25y^2=100
y^2=4
y=+/-2
thus the range is:
[-2,2]
Final answer:

The equation given represents an ellipse, a type of conic section. The domain of this particular conic section is -5 to 5, and its range is -2 to 2.

Explanation:

The equation given represents an ellipse, which is one kind of conic section. The general form of the equation of an ellipse is[tex]x^2/a^2 + y^2/b^2 = 1,[/tex] where a and b are the lengths of the semi major and minor axes respectively. The equation you provided, [tex]4x^2+25y^2=100,[/tex]when arranged to fit into the general form of ellipse becomes [tex]x^2/25 + y^2/4 =1.[/tex] Thus, it is clear that the given equation represents an ellipse.

The domain of the function described by this elliptical equation includes all the x-values that the ellipse covers, and for this particular equation, is -5 to 5. The range includes all the y-values that the ellipse covers, which in this case is -2 to 2.

Learn more about Conic sections here:

https://brainly.com/question/35159687

#SPJ3

QM Q9.) Write the standard form of the equation of the circle with the given center and radius.

Answers

Hello there!

The standard form of the equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

So we have h = 4 and k = 3 and r = √5

So we just need to add these numbers to where they belong.

(x - 4)² + (y - 3)² = (√5)²

(x - 4)² + (y - 3)² = 5


Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!


 You have the opportunity to lease space for your business with a fixed-rate lease. The property owner has proposed a five-year lease with a rent of $4,000 per month. How much is the rent per year? How much is the rent over the life of the lease?

Answers

$48,000/year, $240,000 total

Two students, Ann and Max, factored the trinomial 4x2 − 6x − 4. Ann factored it as 2(x − 2)(2x + 1) and Max factored it as (x − 2)(4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.

Answers

Ann factored the trinomial completely.

Max did not. Max's second factor has terms with a common factor of 2 that can be removed.

What does same amount means?

Answers

This means two numbers that equal the same amount

F(x, y, z) = yz i + xz j + (xy + 18z) k c is the line segment from (1, 0, −1) to (5, 6, 1) (a) find a function f such that f = ∇f. f(x, y, z) = (b) use part (a) to evaluate c ∇f · dr along the given curve
c.

Answers

[tex]\nabla f(x,y,z)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j+\dfrac{\partial f}{\partial z}\,\mathbf k=\mathbf f(x,y,z)[/tex]

[tex]\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx=\int yz\,\mathrm dx[/tex]
[tex]\implies f(x,y,z)=xyz+g(y,z)[/tex]
[tex]\dfrac{\partial f}{\partial y}=xz+\dfrac{\partial g}{\partial z}=xz[/tex]
[tex]\implies\dfrac{\partial g}{\partial z}=0[/tex]
[tex]\implies g(y,z)=h(z)[/tex]

[tex]\dfrac{\partial f}{\partial z}=xy+\dfrac{\mathrm dh}{\mathrm dz}=xy+18z[/tex]
[tex]\implies\dfrac{\mathrm dh}{\mathrm dz}=18z[/tex]
[tex]\implies h(z)=9z^2+C[/tex]

[tex]\implies f(x,y,z)=xyz+9z^2+C[/tex]

[tex]\implies\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(5,6,1)-f(1,0,-1)=30[/tex]
Final answer:

Through anti-derivatives, we find a function f(x, y, z) in part (a) of the problem. We then use the fundamental theorem of line integrals in part (b) to evaluate the line integral of ∇f ∙ dr along a curve c, using the function f we found.

Explanation:

This problem lies within the field of vector calculus, specifically dealing with gradient fields and line integrals. Part (a) requires us to find a function f(x, y, z) such that the gradient of f (∇f) is equal to the field F. Since ∇f yields the vector field (Fx, Fy, Fz), we find the anti-derivatives of each component of F to solve for f. For this particular function f, the anti-derivatives are 1/2 * yz^2 + C1 for Fx = yz, 1/2 * xz^2 + C2 for Fy = xz, and 1/2 * xy^2 + 9z^2 + C3 for Fz = xy + 18z. Therefore, the function  that satisfies the requirement is 1/2 * yz^2 + 1/2 * xz^2 + 1/2 * xy^2 + 9z^2 + C, where C is a constant.

Part (b) then requires the evaluation of the line integral of ∇f ∙ dr along a curve c, from point (1,0,-1) to (5,6,1). According to the fundamental theorem of line integrals, if a vector field is conservative (as it is in this case because we found a function f such that F = ∇f), the line integral of a vector field F along a curve c from a to b is simply f(b) - f(a). Therefore, using the function f found in part a, you can substitute the coordinates of points a and b to find the solution to the line integral equation.

Learn more about Vector Calculus here:

https://brainly.com/question/34850302

#SPJ3

Suppose x is a normal random variable with μ = 35 and σ = 10. find p(55.5 < x < 69.7).

Answers

Answer:

[tex]\boxed{\boxed{P(55.5 < X< 69.7)=0.01992}}[/tex]

Step-by-step explanation:

We know that,

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

where,

Z = z-score,

X = raw score,

μ = mean,

σ = standard deviation.

So,

[tex]=P(55.5 < X< 69.7)[/tex]

[tex]=P(55.5-35 < X-35< 69.7-35)[/tex]

[tex]=P(\dfrac{55.5-35}{10}< \dfrac{X-35}{10}< \dfrac{69.7-35}{10})[/tex]

[tex]=P(\dfrac{55.5-35}{10}< Z< \dfrac{69.7-35}{10})[/tex]

[tex]=P(2.05< Z<3.47)[/tex]

[tex]=P(Z<3.47)-P(Z<2.05)[/tex]

[tex]=0.99974-0.97982\\\\=0.01992[/tex]

hey can some one look at this?

Answers

I'm just going to give you a very quick answer, but I can answer the question
1 foot = 12 inches.
x feet = 60 inches.

1 foot * 60 inches = 12 * x divide by 12

60 / 12 = 5 

So the person is at least 5 feet tall. The height you want is 5 feet 4 inches.

So add 4 inches to 5 feet.
or
Add 4 inches to 60 inches.
you get 64 inches.

There are 20 entries all together. 2 people are 64 inches tall. 

P(64) = 2/20 = 1/10 = 0.1

Answer P(64) = 0.1

I would check all of this if I were you. I'm not sure I counted either one correctly. 

Is 28 cups greater or less than 14 Pints

Answers

Short answer: NO.

28 cups is exactly equal to 14 pints. (There are 2 cups per pint.)

A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square centimeters. What are the dimensions of the larger rectangle?

Answers

The dimensions of the lager rectangle are;

length = 25cm

width = 10cm

Similar shapes are shapes with equal corresponding angles and equal side ratio. This side ratio is called scale factor.

scale factor = √ area factor

area factor = area of new shape/ area of old shape

area factor = 250/160

= 25/16

scale factor = √25/√16 = 5/4

Therefore the width of the larger rectangle = 8 × 5/4 = 10cm

the length = 250/10 = 25 cm

Therefore the dimensions of the larger rectangle are;

length = 25cm

width = 10cm

Alex walked 1 mile in 15 minutes. Sally walked 3,520 yards in 24 minutes. In miles per hour, how much faster did Sally walk than Alex? (Note: 1 mile = 1,760 yards)

Answers

First we need to convert yard to miles

3520yards÷1760yards/mile=2 miles

From there we know:
Alex walked 1 mile for 15 mins and Sally walked 2mile in 24 mins

We need to convert these mileages to miles per hour

1mile/15mins*60mins/hour=4miles /hour
2mile/24mins*60mins/hour=5miles per hour

Alex walks at 4 miles per hour and Sally at 5 miles per hour

Sally walks 1 mile per hour faster than Alex

Trevor just received a jar of mixed nuts containing 325 almonds, 250 pistachios, 75 cashews, and 350 pecans for his birthday. He's going to start randomly choosing some nuts from the jar, and he's not going to do anything that would favor him choosing any particular type of nut over another. Let's use this information to calculate some probabilities. (4 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point)


What is the probability that the first nut Trevor chooses is a pecan?








Part II: What is the probability that the first nut Trevor chooses is an almond or a cashew?

Answers

The questions require that we know the total number of nuts in the jar. That number is
  325 +250 +75 +350 = 1000

Part I.
The probability of choosing a pecan at random is
  (# of pecans)/(total # of nuts) = 350/1000 = 0.35

Part II.
The probability of choosing an almond or cashew is
  (# of almonds or cashews)/(total # of nuts) = (325 +75)/1000 = 0.40

Final answer:

The probability of choosing a pecan first is 35%, and choosing either an almond or a cashew first is 40%.

Explanation:

Probability Calculation in Combinatorics

The student's question involves calculating the probability of certain outcomes when choosing nuts from a jar. To answer Part I: the probability that the first nut Trevor chooses is a pecan, we'll need to divide the number of pecans (350) by the total number of nuts in the jar (1000). Therefore, the probability of choosing a pecan first is 350/1000 or 0.35 (35%).

For Part II, we calculate the probability of choosing either an almond or a cashew. The total of almonds and cashews is 325 almonds + 75 cashews = 400. So, the probability is 400/1000, which simplifies to 0.4 (40%).

NEED HELP WILL GIVE OUT BRAINLIEST AND POINTS









11. Find the area. The figure is not drawn to scale.


12. Find the area of the kite. The figure is not drawn to scale.

Answers

part 1) Find the area 

we know that
the area of the triangle is
A=b*h/2
in this problem
b=9
h=12
so
A=9*12/2-----> A=54 units²

the answer part 1) is
Area=54 units²

Part 2) Find the area of the kite

see the picture attached with letters to better understand the problem

we know that
The area of a Kite is half the product of the diagonals

step 1
find CB
applying Pythagoras Theorem
AB²=AC²+BC²------> BC²=AB²-AC²-----> BC²=5²-3²----> BC²=16
BC=4
so
the diagonals are
(10+4) and (3+3)---------> 14 and 6
Area=(1/2)*[14*6]----> Area=42 units²

the answer Part 2) is
the area of a kite is 42 units²

What is the mean of 20, 37, 43, 54, 83, 102, 117, 160, 208?

Answers

Answer is 91.56 You add all the numbers up and divide by 9(There are 9 numbers in the sequence).

Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts interviews of job applicants with the use of the lie detector. there are 15 applicants who are interviewed.
a.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that all 15 are telling the truth?
b.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that at least one is lying?
c.what are the mean and standard deviation of the 15 applicants the lie detector concludes are lying?
d.what is the probability that the number of truthful applicants classified as liars is greater than the mean?

Answers

Part A:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85

Thus, the probability that the lie detector will conclude that all 15 are telling the truth if all 15 applicants tell the truth is given by:

[tex]P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\ \\ =1\times0.0874\times1=0.0874[/tex]


Part B:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15

Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:

[tex]P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\ \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\ \\ =0.9126[/tex]


Part C:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The mean is given by:

[tex]\mu=npq \\ \\ =15\times0.15\times0.85 \\ \\ =1.9125[/tex]


Part D:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The probability that the number of truthful applicants classified as liars is greater than the mean is given by:

[tex]P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\ \\ 1-[P(0)+P(1)][/tex]

[tex]P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\ \\ =15\times0.15\times0.1028=0.2312[/tex]

John paid 5% sales tax on his television, which cost $769 before taxes. What did the television cost in total?

Answers

For this case we can make the following rule of three:
 $ 769 ---------> 100%
 x --------------> 105%
 From here, we clear the value of x.
 We have then:
 x = (105/100) * (769)
 x = 807.45 $
 Answer:
 
the television did cost 807.45 $ in total

An airliner travels 45 miles in 5 minutes. What is it’s speed in miles?

Answers

9 miles per minute. Divide 45 by 5

help with this question?

Answers

The rational expression [tex]\dfrac{(x-4)(x+9)}{(x-1)(x+9)}[/tex] has a removable discontinuity at x=-9. The definition of f(x) removes the discontinuity at x=-9. However, the function remains undefined at x=1.

The appropriate choice is ...
  c.   continuous at every real number except x = 1.

what problem does the model show?

Answers

4/8 which is the same as 1/2 (one half)

1/2 is the fraction represents the diagram.

What is Fraction?

A fraction represents a part of a whole.

Fractions are of three types.

Proper fraction, improper fraction and mixed fraction.

A proper fraction is a fraction which has its numerator value less than the denominator.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

A fraction represented with its quotient and remainder is a mixed fraction

In the diagram there are 8 boxes in whole, the number of boxes shaded are 4 out of 8.

4/8 is the fraction represents the diagram, 1/2 is another way of representing 4/8.

Hence, 1/2 is the fraction represents the diagram.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ5

If the typos are randomly distributed over the 10 pages, find the probability of having a single typo on each page

Answers

1/10 assuming there is are 10 typos in total

I need help on this one please

Answers

Try this solution (see the attachment).

How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.7 on the Richter​ scale? The larger​ earthquake's intensity was nothing times as great as the smaller​ earthquake's intensity. ​(Round to the nearest whole number as​ needed.)

Answers

Answer:

15,849

Step-by-step explanation:

Final answer:

A magnitude 7.9 earthquake releases approximately 2.7 million times more energy than a 3.7 magnitude earthquake, as the Richter scale is logarithmic and represents a 32-fold increase in energy release for each unit increase in magnitude.

Explanation:

The Richter scale is logarithmic, which means that each whole number increase represents a tenfold increase in amplitude and roughly a 32-fold increase in the energy released by an earthquake.

Therefore, when comparing a magnitude 7.9 earthquake to a magnitude 3.7 earthquake, there is a difference of 4.2 on the Richter scale.

This corresponds to a tenfold increase in amplitude 4.2 times, which would be 10 to the power of 4.2 in terms of amplitude.

However, if we consider the energy, which increases by a factor of 32 for each whole number increase, we're looking at 32 to the power of 4.2, which is approximately 2,704,156 times greater in terms of energy release.

To determine the intensity difference in a more simplified manner, taking the base-10 logarithm of the energy ratio is effective.

The simplified comparison tells us that the larger quake's intensity is about 2.7 million times greater than the smaller quake's intensity.

After rounding to the nearest whole number, we find that the intensity is 2,704,156 times as great.

Q #14 Solve the equation

Answers

Your answer would be scalene. Have a great day!

By definition we have:
 The scalene triangle is a polygon with three sides, all of which are different.
 As a consequence, their angles will also all be unequal. These, as in all triangles, add up to 180º (α + β + γ = 180º).
 Answer:
 
Scalene
 
option 3

Grace has one $10 bill and three $5 bills she spends 9.30 on a belt and $4.20 on snack how much money does grace have left

Answers

Total amount = 1 x 10 + 3 x 5 = $25

Amount spent = $9.30 + $4.20 = $13.50

Amount left = $25 - $13.50 = $11.50

Answer: $11.50
The correct answer is 11.50. 25-9.30-4.20=
11.50
GIVE ME BRAINLIEST PLZZZZ

PLZ HELP ASAP INSCRIBED SHAPES

Answers

The radius is the hypotenuse of the eight triangle. So we can use pythagorean triples to find the side.

It’s handy to remember that 5, 12, 13 is a pythagorean triple.

So, 13 is the radius.

Hope this helped!
The radius of circle O is the same as half of the hypotenuse of the right triangle.

The find the hypotenuse, simply use the following,

[tex] \sqrt{a { }^{2} + b ^{2} } [/tex]

Or the square root of one leg squared us the other leg squared.

I already know this to be a 5 - 12 - 13 right triangle and you can get 13 with the equation.

~~

Half of 13 is 6.5 meaning 6.5 is our radius.

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

Starting at home, ishaan traveled uphill to the grocery store for 121212 minutes at just 151515 mph. he then traveled back home along the same path downhill at a speed of 303030 mph. what is his average speed for the entire trip from home to the grocery store and back?

Answers

The average speed is defined as the total distance covered divided by the time interval.

First of all we need to convert the time interval from minutes to hours, so:

[tex]121212min(\frac{1h}{60min}) = 2020.2h[/tex]

We know that the distance, speed and time are related as follows:

[tex]d = vt[/tex]

Thus, the distance covered from home to the grocery store is:

[tex]d = 151515(2020.2)=306090603mi[/tex] 

So, the total distance covered for the entire trip from home to the grocery store and back is:

[tex]d_{t} = 2(306090603) = 612181206mi[/tex] 

We need to the total time interval, that is:

[tex]t = t_{1} + t_{2} = 2020.2h + t_{2}[/tex]

So, it is necessary to find [tex]t_{2} [/tex] as:

[tex]t_{2} = \frac{306090603mi}{303030mph} = 1010.1h[/tex]

In this way:

[tex]t = 2020.2h + 1010.1h = 3030.3h [/tex]

Finally, his average speed for the entire trip from home to the grocery store and back is:

[tex]v_{a} = \frac{d_{t}}{t} = \frac{612181206mi}{3030.3h} = 202020,ph[/tex]

Answer: The average speed for the entire trip from home to the grocery store and back is 20 mph.

Step-by-step explanation:

Since we have given that

Ishan traveled uphill to the grocery store for 12 minutes at just 15 mph.

So, Time taken by him = 12 minutes

Speed = 15 mph

So, distance traveled = Speed × time

So, Distance becomes [tex]15\times \dfrac{12}{60}=\dfrac{180}{60}=3\ miles[/tex]

Again, he traveled back home along the same path downhill = 180 miles

Speed of covering downhill = 30 mph

so, Time taken [tex]\dfrac{Distance}{Speed}=\dfrac{3}{30}=\dfrac{1}{10}\ hours[/tex]

Since we know the formula for "Average speed ":

[tex]\dfrac{Total\ distance}{Total\ Time}\\\\\\=\dfrac{3+3}{\dfrac{12}{60}+\dfrac{1}{10}}\\\\\\=\dfrac{6}{\dfrac{1}{5}+\dfrac{1}{10}}\\\\\\=\dfrac{6\times 10}{2+1}\\\\\\=\dfrac{6\times 10}{3}\\\\\\=20\ mph[/tex]

Hence, the average speed for the entire trip from home to the grocery store and back is 20 mph.

Find the length of the arc shown in red, Leave your answer in terms of pi.

Answers

Answer:

The red arc has length (3/2) π

Step-by-step explanation:

* Lets revise some rules in the circle

- The measure of any arc = the measure of the central angle

  subtended by this arc

- Equal central angles subtended by equal arcs

- The length of the arc is a part from the length of the circle,

 it depends on the ratio between the measure of this arc

 and the measure of the circle

- The measure of the circle = 360°

- The length of the circle = 2πr

* Lets solve our problem

∵ The measure of the arc = 30°

∴ The measure of its central angle 30°

∴ The central angle of the red arc = 30° by condition of

   vertically opposite angles are equal in measures

∴ The measure of the red arc = 30°

- The ratio between measure the arc and the measure

  of the circle is 30/360 = 1/12

∴ The arc is 1/12 from the circle

∴ The length of the arc is 1/12 from the length of the circle

∴ Length red arc = (1/12) × 2πr

∵ r = 9

∴ Length red arc = (1/12) × 2 × π × 9 = (3/2) π

* The red arc has length (3/2) π

Other Questions
PLEASE HELP !!!Which two sentences in this passage include a simile?Jerome was leaving his house when he heard a loud scream coming from inside. He ran back to the backdoor and entered as quietly as a mouse. He could hear his heart thumping inside his body. Who could have screamed? he thought.The house was empty when he left. Was there an intruder? Jerome moved upstairs. Someone screamed again. He stopped in his tracks and held the bannister. His face was as white as a sheet. He was sure that the sound had come from the guest room.Jerome remembered that only Paulie, the African grey parrot, was in that room. He rushed up to it, hoping that Paulie was not in danger. As he entered, Paulie greeted him with a whistle. Jerome looked around; there was no one else in that room. Then he heard the scream again. It was Paulie.Jerome heaved a sigh of relief. It must be all those scary movies that Paulie watches with mom, thought Jerome. Hes just copying the actors screams. In your opinion, what type (or types) of conflict are going on in sudan It's shorter than the rest, but when you're happy, you raise it up like it's the best. What is it? Good luck guys 100 points are on the line please help asap 50 pts Which of the following is a natural disaster that can have a significant impact on human populations? a. hurricane b. volcano c. earthquake d. all of the above Please select the best answer from the choices provided A B C D In the late nineteenth century, the american catholic hierarchy was dominated by Andy is 2 years older than Jeff. In 5 years the sum of their ages will be 40.find their ages now? Explain your answer using algebra Kimelas little sister likes to swing the playground. Yesterday, Kimela pulled the swing back and let it go. The swing traveled a distance of 9 feet before heading back the other way. Each swing afterward was only 70% as long as the previous one. Find the total distance the swing traveled. Definition: this is the process of organisms adapting to their environments over time. Choose the justification for each step in the solution for equation 6X -9 equals 45 Rectangle QRST is shown.What would be a reason to claim that QRST is NOT a square? SECOND PICTURE ARE THE FOLLOWING SOLUTIONS.WILL MARK BRAINLIEST!!! In the _____ model, personality has its effect on people's ability to cope with events. What is the area of the trapezoid?56 square inches240 square inches108 square inches120 square inches why did general Dwight Eisenhower oppose using nuclear weapons in japan? Presbyterian, green bay packers fan, republican, and italian are all group associations that help define a person as a(n): how do I find the depth to this rectangular prism An object moves on a conveyor belt at a speed of 60 inches per second. Explain how you could conver the speed to feet per minute Which would most likely cause molten rock material to become glassy igneous rock? "a child in which of piaget's stages of moral development does not take intentions into account when determining whether a behavior is moral or immoral?" One of the primary purposes of the war in afghanistan that was waged during the george w. bush administration was to __________.