If the length of the 45° region
of this circle is 10 inches, what
is the radius of the circle?


asap pls​

Answers

Answer 1

Answer:

r=12.7323

Step-by-step explanation:

We find out the arc length formula when multiplying this equation by Θ:

Θ=45 degrees=π/4

L = r * Θ

r=L/Θ=10/π/4=40/π=12.7323

this answer is for sector(part of a circle)


Related Questions

A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?

Answers

Answer:

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n × x

                                                           = 46 × 4

                                                           = 184

Thus, the number of different possible vote totals is 184.

Simplify square root of five times square root of eight. two square root of ten four square root of ten square root of forty square root of thirteen

Answers

Answer:

two square root of ten - A

Step-by-step explanation:

[tex]2\sqrt10[/tex]

Brainliest Plzzz!!!!

Answer:

2 square roots of 10

Step-by-step explanation:

89 x (100-2) = 98 x (100-x) What should replace 'x' to make the equation true?

Answers

Answer:

x=11

Step-by-step explanation:

the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal

Answer :

[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]

[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]

[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]

[tex]:\implies\tt\:100-x=89[/tex]

[tex]:\implies\tt\:x=100-89[/tex]

[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]

Write each repeating decimal using bar notation.
•2.034034...

•0.9222....

•0.7777....

Answers

Answer:

  ___

2.034

over .034

     _

0.92

over 2

  _

0.7

over 7

Step-by-step explanation:

Bar notation of 2.034034.... is  [tex]2.\overline{034}[/tex], 0.9222... is  [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]

What is bar notation for non terminating and recurring decimals?

Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.

For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.

Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.                  

Bar notation of  3.33333... is written as  [tex]3.\overline{3}[/tex]

Given decimal expansions are

a.  2.034034....

We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.

Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]

b. 0.9222....

We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.

Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]

c. 0.7777....

We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.

Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]

Also, learn more about decimal expansions from the link below:

https://brainly.com/question/17316823

#SPJ5

A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?

Answers

Answer:

$ 45

Step-by-step explanation:

How much money in tips did she earn ?

12%×$375 = 12×375/100 = 4500/100 = $45

The answer is 45 dollars

All you have to do is make 12 a decimal (0.12) and multiply that by 375

Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca

Answers

Answer:

A) a/b = d/c

Step-by-step explanation:

The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.

In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c

6+{5+[2+(8+20)]} we are supposed to compute!!! I have no idea how!

Answers

Step-by-step explanation:

Is this correct

HAVE A GOOD DAY!

Use this area model to find
1/4 divided by 3 =

Answers

Answer:

Step-by-step explanation:

1/4/3=1/4*1/3=1/12

Answer: 1/4 ÷ 3 = 1/12

Which sets are best represented by the Venn diagram G = {odd numbers)
H = {even numbers)
1 = {prime numbers
B. G = {a,b,c}
H = {d, e, f}
1 = {a, d, g}
C. G= {1, 2, 3
H = {2, 4, 9}
1 = {4, 5, 6)
D. G={a, -13,7}
H={-13, -15, s}
1 = {s, a, 23}

Answers

Answer:

option C.

G = {1, 2, 3}

H = {2, 4, 9}

1 = {4, 5, 6}

Step-by-step explanation:

From the diagram given above, we obtained the following information:

1. G Intercession H (G n H) has members i.e (G n H) is not epmty

G n H ≠ empty.

2. H Intercession I (H n I) has members i.e (H n I) is not empty

H n I ≠ empty.

3. G Intercession I (G n I) is empty i.e

G n I = empty.

Please note: Intercession of sets talks about elements or members common to the sets.

With the above information, we can suggest the answer to the question as follow:

For option A:

G = {odd numbers} = {1, 3, 5, 7,.. }

H = {even numbers} = {2, 4, 6, 8,.. }

I = {prime numbers} = {2, 3, 5, 7,...}

Therefore:

G n H = {} = empty

H n I = {2}

G n I = {3, 5, 7,..}

For option B:

G = {a,b,c}

H = {d, e, f}

I = {a, d, g}

Therefore:

G n H = {} = empty

H n I = {d}

G n I = {a}

For option C:

G = {1, 2, 3}

H = {2, 4, 9}

I = {4, 5, 6}

Therefore:

G n H = {2}

H n I = {4}

G n I = {} = empty

For option D:

G = {a, -13, 7}

H = {-13, -15, s}

I = {s, a, 23}

Therefore:

G n H = {-13}

H n I = {s}

G n I = {a}

From the above illustrations, only option C is correct.

Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!

Answers

Answer: 166 hairs

Step-by-step explanation:

Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have

= 1546 x 0.80^10

= 1546 x .107374

= 166 hairs

After 10 years, 166 hairs have left on Mr. MD head.

Decay rate is 20 %.

The number of hairs left after n years is given by,

                  [tex]A =P(1-\frac{r}{100} )^{n}[/tex]

Where P is the current population value, r is rate of decay and n is number of years.

Given that,  [tex]P=1546,n=10,r=20[/tex]

Substitute values in above equation.

               [tex]A=1546(1-\frac{20}{100} )^{10} \\\\A=1546*(\frac{4}{5} )^{10} \\\\A=166[/tex]

Thus, After 10 years, 166 hairs have left on Mr. MD head.

Learn more:

https://brainly.com/question/20992156

Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?

Answers

Answer:

Distance = 162.5 to 2dp.

Step-by-step explanation:

Alex car drives 65km = 40mins we round up to 1hr

= 1/2 x 65 + 65 = 32.5 +65 = 97.5  km p/h

Roy is 1/4 faster (As Alex speed is 3/4 of Roy)

To find 3/4 we divide by 3  then, add the 97.5  km etc..

97.5/3 =  + 32.5km = 130 km/ph

To check we only have to divide by 4

130 / 4  = 32.5

We know 32.5 is 1/4 we can add this on as 15minutes.

130 km = 1hr +

32.5 km = 15 mins

Distance = 162.5 km

Answer:

162.50 km

Step-by-step explanation:

Alex: 40 minutes for 65 km

speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h

Alex's speed = 3/4 of Roy's speed

Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h

speed = distance/time

distance = speed * time

time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour

distance = 130 km/h * 1.25 hour = 162.50 km

The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2

Answers

Answer:

B.y=-2(x+3)2-2

Step-by-step explanation:

A if false beacuse you have to put (-3,-2) into all of your equations

B is correct

C is false

D is also false

1/3x+4=10 what is x?

Answers

Answer:

x = 18

Step-by-step explanation:

start with your equation: 1/3x + 4 = 10

first subtract 4 from both sides of the equal sign

now you have: 1/3x = 6

then divide by 1/3 on both sides

which gives you...

x = 18

you can check it by replacing x with 18.

hope this helps!

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}x+4=10[/tex]

Subtract 4 from both sides

[tex]\frac{1}{3}x=6[/tex]

Multiply both sides by 3

[tex]x=18[/tex]

Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!​

Answers

Answer:

A and F

Step-by-step explanation:

first figure out the slope.

4-(-5)/2-(-3)= 9/5

slope: 9/5

y-y1=m(x-x1)

you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.

C, D, E all have negative slopes so it is wrong.

B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.

A & F fit the solution.

Will Mark Branliest What would be the best way to display both the overall shape and individual values of the data below? dot plot box graph stem-and-leaf graph frequency table


Answers

Answer:

Stem and leaf

Step-by-step explanation:

Answer:

The answer is frequency table

Hope this helps.

Is 4r=-5s+1/4 proportional?

Answers

No, it is not proportional.

Please help, this is a conversion problem.

Answers

Answer:

A. 41 ft / sec.

Step-by-step explanation:

28 miles per hour = 28/(60*60)

= 28 /3600 miles per second

= 28 * 5280 / 3600 feet per second

= 41 ft / sec.

Answer:

I am taking a guess so bare with me on here.

Step-by-step explanation:

first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.

Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.

Third: take out any other answer that looks too high or too low.

4th: the answer is A. because 88 and 189 is too high. and 36 is too low.

Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D

Answers

Answer:

(D)

Step-by-step explanation:

A proportional relationship is in the form of y=kx where k is the proportionality constant.

From the given options:

Consider the pairs (x,y) in Option D

(4,8),(7,14)(12,24),(15,30)

When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2

We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.

Answer:

the correct answer is D

Step-by-step explanation:

just got it right on edge 2020

Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.

Answers

If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].

We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):

[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]

We have

[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]

and in each group, we can pull this out as a factor. For example,

[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]

So the entire sum reduces to the remaining term,

[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]

Answer:

jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................

Step-by-step explanation:

can someone help me step through this to help me get the answer correct

Answers

Answer:

3

Step-by-step explanation:

What does an individual’s effective tax rate indicate?

A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate​

Answers

Answer:

the answer is B

Step-by-step explanation:

100 on the plato test

Answer:

A. the average income earned

B. the average tax rate

C. the minimum tax rate

D. the next year's tax rate

Step-by-step explanation:

Plato Users

PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?

Answers

Answer:

18 2-digit numbers.

Step-by-step explanation: There is

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)

hope this helps

Answer:

I believe the answer is 18 2 digit numbers

Step-by-step explanation:

I just counted them :)

12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97

These are all the 2 digit numbers!

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answers

Answer:

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 4ft[/tex]

[tex]Angle, \theta = 45[/tex]

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]

[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]

[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes

[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]

[tex]Area = \frac{45}{360} * \pi * 16[/tex]

[tex]Area = \frac{45*16}{360} * \pi[/tex]

[tex]Area = \frac{720}{360} * \pi[/tex]

[tex]Area = 2 * \pi[/tex]

[tex]Area = 2 \pi\ ft^2[/tex]

The above is the area in terms of π

Solving further.... (Take π as 3.14)

[tex]Area = 2 \pi\ ft^2[/tex] becomes

[tex]Area = 2 * 3.14\ ft^2[/tex]

[tex]Area = 6.28\ ft^2[/tex]

Hence, the area of the sector is

[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]

Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.

Answers

Answer:

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Step-by-step explanation:

Step(i):-

Given series

6+66+666+6666 + ... +666...66 up to 100 digits

Taking common '6'

6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)

Multiply '9' and divisible by'9'

[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]

Multiply inside '9'

[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]

[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]

Step(ii):-

we know that sum of geometric series

[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]

we know that

a + a + a+........n terms = n a

[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex]  ....(i)

The sum of the 100 digits in geometric series

[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]

Now the equation (i)

The sum of the digits of the number  

      [tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]

Final answer :-

Sum of the digits of the number

     [tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]

Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE

Answers

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

This is due to the symmetry of the sin function, which states that:

[tex]sin(-x)=-sin(x)[/tex]

Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.

The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help

Answers

Answer:

The following two equations represent the reflected function:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Step-by-step explanation:

Following are two basic concepts of reflection a point or a function over an axis:

If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.

In this question, the function is given:

f(x) = 5(1/5)ˣ

As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.

So the equation of reflected function is:

f(x) = 5(1/5) ⁻ˣ

We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.

(1/5)⁻ˣ = 5ˣ

So equation of reflected function can also be written as:

f(x) = 5(5)ˣ

Answer:

f(x) = 5(1/5) ⁻ˣ

f(x) = 5(5)ˣ

Jimmy spent 55 minutes on solving 11 math questions. If it took him the same amount of time to solve each question how long would it take to solve questions?

Answers

It would take 5 minutes per question because if you divide 55 by 11 you get 5

A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.

Answers

Answer:

Just saying that there are links people post that scam you and this is requird by Brainly

Step-by-step explanation:

Please I need help with this ASAP..Thanks

Answers

Answer:

Qu.3 a = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

Step-by-step explanation:

Rules of parallelogram show that diagonal adjacent angles are equal

Then 110 = 110 and 110+110 = 220

Then as angles equal 360 degree we subtract.

a * 2 = 360-220 = 140 degree

Where there are two angles we divide by 2 to find one of them = a as both measures equal double;

a = 140/2 = 70 degree.

Qu 4. a = 6  b= 4 c = 15  d =9

without calculator we simplify

a= 3/4 x 8 = 1 x 8 - 1/4 = 6     = 3/4 +1/4 = 1  then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6

b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4       = 1/6 *2 is the same as 2/6 we then *12

c =  3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15    = 1/2 *3 is the same as 3/2 we then *10

d =  3/12 x 36 = 1/4 x 36 = 9  = decimal 0.25 x 36 = 1.50  |  + 7.5 = 9  

Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%

Answers

it’s D, 140%. All you have to do is divide 105 by 75 and it will pop up as 1.4 which is 140.

Answer:

D 140%

Step-by-step explanation:

n/100 =105 divided by 75

next n times 105 = 75 x 100

105n = 7500

N =140:)

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They increase the occurrence of droughts in the winter. They reduce rainfall on the leeward side of a mountain. Data on the number of work days missed and the annual salary increase for a companys employees show that, in general, employees who missed more days of work during the year received smaller raises than those who missed fewer days. A detailed analysis shows that the number of days missed explains 60% of the variation in salary increases. What is the correlation between the number of days missed and salary increase? What is the area of the triangle below?18 subract 5 5/21 from 13 1/7 What did the Slaughterhouse Cases do for American businesses? A. They allowed food industries to stay in cities. B. They showed that businesses had rights. C. They opened companies to more shareholders. D. They removed rules from food industries. Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP find the equation of the line passing through the points (2,4) and (3,2). find both green and grey box What is the solution to this equation?7x-2(x - 10) = 40O A. x= 10O B. x= 4O c. x = 12O D. x= 6 A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:1. $mu=?2. $sigma=?3. $=n=$4. $mu_{overlinex}=$x=?5. $sigma_{overlinex}=$x=? Suppose we take repeated random samples of 50 college students from the same population and determine a 95% confidence interval for the mean GPA from each sample. Which of the following statements is true regarding the confidence intervals?A. The intervals are centered around the population mean GPA.B. The intervals are centered around the sample mean GPA.C. 95% of the intervals will contain the sample mean in the long run.D. 95% of the intervals will contain the population mean in the long run. Gail baked some muffins. She sold 2/7 of the muffins on Monday. She sold 1/3 more of the muffins on Tuesdays than on Monday. What fraction of the muffins did Gail sell on the two days? The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5). Nathans Athletic Apparel has 2,000 shares of 5%, $100 par value preferred stock the company issued at the beginning of 2017. All remaining shares are common stock. The company was not able to pay dividends in 2017, but plans to pay dividends of $22,000 in 2018.Required: 1. & 2. Assuming the preferred stock is cumulative and noncumulative, how much of the $22,000 dividend will be paid to preferred stockholders and how much will be paid to common stockholders in 2018? CumlativeNon Cumlativepreferred Dividends for 2018preferred Dividends in arrears for 2017Remaining Dividends to common stockholdersTotal Dividens: