The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic
inches of water, how many inches high would the water be in the fish tank?

Answers

Answer 1

Answer:6

Step-by-step explanation:

18 lengh times 10 width = 180

1,080/ 180 = 6


Related Questions

There are 39 counters in a bag.
14 of the counters are red.
The rest of the counters are blue,
One of the counters is taken at random.
What is probability that the counter is blue.

Answers

Answer:

There fore the probability that the counters are blue is [tex]\frac{15}{39}[/tex]

Step-by-step explanation:

There are a total of 14 red counters and 39 in total. The total of red counter can be represented as a fraction of [tex]\frac{14}{39}[/tex]. To find out the number of blue counter we subtract 14 from 39. This gives us 25. This is [tex]\frac{15}{39}[/tex]. Therefore the probability that the counters are blue is

Answer:

25/39

Step-by-step explanation:

The total is 39

Red=14

So to determine blue,it will be

39-14=25

So blue will be 25

So to determine the probability for picking blue

It will be

25/39

Since there's no common number that can divide the two

The final answer is 25/39

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

A rectangle with length 6 inches and width 4 inches is enlarged twice.

Which statements apply to the enlargements? Select three options.
A.The area of the first enlargement is 72 square inches.

B.The area of the second enlargement is 1,944 square inches.
C.The area of the second enlargement is (3 squared) squared times the original area.
D.The area of the second enlargement is 3 times the area of the first enlargement.
E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

Answers

Answer:

B, C, E are true

Step-by-step explanation:

A = l*w

The original rectangle is 6 by 4  with A = 24

The 1st enlargement = 6*3 by 4*3

                                   18 by 12  with A = 216

The second enlargement is 18*3 by 12*3

                                              54 by36 with A =1944

A.The area of the first enlargement is 72 square inches.

False it is 216

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

216/24 =9  True

D.The area of the second enlargement is 3 times the area of the first enlargement.

1944/24 = 9  False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3 3^2 =9 216/24 =9

True

Answer: B, C, DStep-by-step explanation:I did the test on E d g e n u i t y

Tam has $16.58 in her bank account. She spends $4.69 on school supplies and deposits $5.00. What is her new balance?​

Answers

Hope this will help u....

Answer:

$6.89

Step-by-step explanation:

Since she spent $4.69 and $5

She has the total amount of$16.58

So let's solve

4.69+5

9.69

So the amount spent will be deducted from the total amount in her account

16.58-9.69

6.89

So the amount left is $6.89

6. Rectangle ABCD is shown above. AB =
3x+8, and CD = 2x+13. Find x.

Answers

Answer:

x=5

Step-by-step explanation:

3x+8=2x+13

x+8=13

x=5

Carrie gave her hair stylist a $4.20 tip. The tip was 15% of the cost of the
haircut. What is the total cost of the haircut?

Answers

The total cost of her haircut was 28 dollars

step by step:

(percentage) 15 x 6 = 90

4.20 x 6 =25.2

(perscentage) 15 divided by 3 = 5

4.20 divided by 3 = 1.4

1.4 + 1.4 = 2.8

25.2 + 2.8 =28

Final answer:

The total cost of the haircut before adding the tip was $28.00, found by setting up an equation where 15% of the total cost is equal to the $4.20 tip and solving for the total cost.

Explanation:

To calculate the total cost of the haircut that resulted in a $4.20 tip given at the rate of 15%, we need to set up a proportion where 15% of the total cost equals $4.20.

Step 1: Represent the unknown total cost of the haircut by the variable x.

Step 2: Set up the equation representing the tip as 15% of the total cost (0.15x = $4.20).

Step 3: Solve for x by dividing $4.20 by 0.15.
x = $4.20 / 0.15
x = $28.00

Therefore, the total cost of the haircut before adding the tip was $28.00.

Answer these questions about the powers of 3.

What is the pattern as the exponents decrease?

Answers

Answer:

Divided by 3

1

1/3

1/27

Step-by-step explanation:

Answer: Divide by 3, 1, 1/3, 1/27

Step-by-step explanation:

A honey bee flaps its wings at 220 flaps per second, a bumblebee flaps its wings at 145 flaps per second, and a mosquito flats its wings at 600 flaps per second. which insect wing pitch would be lowest to highest

Answers

Answer:

it would be

bumblebee

mosquito

honey bee

Step-by-step explanation:

Final answer:

The insect wing pitch from lowest to highest is mosquito (600 flaps per second), honey bee (220 flaps per second), and bumblebee (145 flaps per second).

Explanation:

The insect wing pitch from lowest to highest would be as follows:

Mosquito: 600 flaps per secondHoney bee: 220 flaps per secondBumblebee: 145 flaps per second

The mosquito has the highest wing pitch as it flaps its wings at 600 times per second, followed by the honey bee at 220 flaps per second, and the bumblebee at 145 flaps per second.

Learn more about Insect wing pitch here:

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Let f(x) = 5x - x+1 and g(x) = -3x. Evaluate the composition (f • g)(1).

Answers

Replace the variable x with 1 in the expression

f(1)=5(1)−(1)+1

f(1) = 5

Replace the variable x with 1 in the expression.

g(1)=−3⋅1

g(1) = -3

Multiply 5 by −3

.

−15⋅1

Multiply −15

by 1

.

−15

Thus, the answer is -15

I am unsure about this answer, I have doublechecked it several times.  Please take this with a grain of salt

The cylinder diameter and height both is 39.2 millimeters what is the volume

Answers

Answer:

v=23160.24

Step-by-step explanation:

v= r^2 * h * π

19.6 ^2 = 384.16                                                               r = d/2

384.16 * 19.2 * 3.14                                                          39.2 / 2 = 19.6

23160.24

Hope this isn't too confusing!

Which Point has an x-coordinate of 4?

Answers

Answer:

s has an x-coordinate of 4

Step-by-step explanation:

the coordinate is (4,-5)

3.5x - 11 = 20.5 what does x equal?

Answers

Answer:

x=9

Step-by-step explanation:

3.5x - 11 = 20.5

Add 11 to each side

3.5x - 11+11 = 20.5+11

3.5x = 31.5

Divide each side by 3.5x

3.5x/3.5 = 31.5/3.5

x =9

Answer:

x=9 (don't look at explanation)

Step-by-step explanation:

Let's solve your equation step-by-step.

3.5x−11=20.5

Step 1: Add 11 to both sides.

3.5x−11+11=20.5+11

3.5x=31.5

Step 2: Divide both sides by 3.5.

3.5x

3.5

=

31.5

3.5

x=9

Answer:

x=9

The diameter of a semicircle is 2 yards. What is the semicircle's perimeter?
Use 3.14 for pie

Answers

Final answer:

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards when using 3.14 for pi.

Explanation:

To calculate the perimeter of a semicircle with a diameter of 2 yards, we first need to find the radius, which is half of the diameter. Therefore, the radius (r) is 1 yard. Using the value of pi (π) as 3.14, the formula for the perimeter (P) of a semicircle is P = πr + 2r, where πr is the length of the semicircle's curved edge and 2r is the length of the diameter.

Plugging the radius into the formula, we get P = 3.14 × 1 yard + 2 × 1 yard. Simplifying this, we find P = 3.14 yards + 2 yards, which equals to 5.14 yards. Therefore, the perimeter of the semicircle is 5.14 yards.

Final answer:

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards, calculated by taking half the circumference of a full circle and adding the diameter.

Explanation:

To calculate the perimeter of a semicircle with a given diameter of 2 yards, we need to consider both the straight edge of the diameter and the curved edge of the semicircle.

The formula for the perimeter (P) of a full circle is P = πd, where π (pi) is approximately 3.14 and d is the diameter. Since we have a semicircle, we will take half of the circumference of the full circle and then add the diameter. So, the formula for the perimeter of the semicircle (P_semicircle) will be:

P_semicircle = (πd)/2 + d.

Let's plug in the values:

P_semicircle = (3.14 × 2 yards)/2 + 2 yards
P_semicircle = 3.14 yards + 2 yards
P_semicircle = 5.14 yards.

The perimeter of the semicircle is 5.14 yards.

10. The dot plot shows how many games
10 members played last month.

True or false?
a) The mode is 5 games
b) The median is 5 games​

Answers

Answer:

A : False

B : False

Step-by-step explanation:

A : The mode of a data set is whichever number comes up the most.

8 comes up the most times, so 8 is the mode.

B : The median is a number which is in the middle of a data set

This is the data set as a list of numbers :

2, 5, 5, 5, 6, 6, 8, 8, 8, 8

the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,

6 + 6 = 12

12 / 2 = 6

6 is the median.

Final answer:

The question relates to data analysis in Mathematics, focusing on the mode and median within a data set, which cannot be determined without the provided figures. The median is the middle value in an ordered data set, while the mode is the most frequent value.

Explanation:

The subject of this question is Mathematics, specifically focusing on concepts related to data analysis such as mode, median, and box plots. Without the actual dot plot or box plot figures provided, we cannot verify the true or false nature of the statements provided. However, generally, the mode is the number that occurs most frequently in a data set, and the median is the middle number when the data set is ordered from least to greatest. To construct a box plot for a given data set, you would need to calculate the minimum, first quartile, median, third quartile, and maximum of the data. These five statistics are then used to create the box plot, which provides a visual representation of the data distribution.

When discussing the median in a box plot, it is the value that divides the data set into two equal halves. The mode in contrast, may or may not correspond to any of the box plot’s five statistical summaries; it entirely depends on the frequency of the individual values.

PLEASE HELP WILL MARK BRAINLIEST choose the ordered pair that is NOT the solution for these equations.
x + y = 12
y = 12 - x
A-15,1
B 0,12
C 1,11

Answers

Answer:

The answer is A)

Step-by-step explanation:

A)-15+1=14

B)0+12=12

C)1+11=12

Please help me with this :c
Will give TWENTY POINTS!!

Answers

Answer:

Area of a triangle formula is 1/2 x base x height

Area of the garden = 1/2 x 25 x 10 = 125 square feet.

1 bag covers 10 square feet, divide total area by 10"

125 / 10 = 12.5

She will need to buy 13 bags.

How many solutions does this system have? 6 x + 3 y = negative 12. y = negative 2 x + 4. one , two , infinite number , no solution

Answers

Answer : no solution

Step-by-step explanation:

The system of the equations have infinitely many solutions.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The linear equation of two variable is given below.

6x + 3y = –12

6x + 3y + 12 = 0  ...1

   –2x + 4 = y

2x + y – 4 = 0  …2

The standard equations are given as

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Compare equation 1 and 2 with the standard equation. Then we have

a₁ = 6, b₁ = 3, c₁ = 12

a₂ = 2, b₂ = 1, c₂ = –4

If the ratio of the coefficient of x and y are different, then unique solution.

If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.

If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.

a₁ / a₂ =  6/2 = 3

b₁ / b₂ =  3/1= 3

c₁ / c₂ =  12/(-4) = -3

Then the condition will be

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

The system of the equations have infinitely many solutions.

More about the solution of the equation link is given below.

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find the area pls and ty

Answers

Answer:

28.5 units squared

Step-by-step explanation:

8x3 is the bottom rectangle and added 3x3x0.5 cuz it is a triangle. Add the areas and u get 4.5+24 or 28.5 units squared

28.5 square units
Hope this help

What is the scientific notation for 96,470,000

Answers

Answer:

9.647×10^7

Step-by-step explanation:

The decimal is moving to the left so the 7 is positive.

A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 inches.

Complete the sentences.


The area of the pyramid’s base is in.2.

The pyramid has lateral faces.

The surface area of each lateral face is in.2.

The total surface area is 144 in.2.

Answers

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

[tex]A_{base} = s^{2}[/tex]

[tex]A_{base} = (6 in)^{2}[/tex]

[tex]A_{base} = 36 in^{2}[/tex]

To calculate the area of a lateral face, find the area of a triangle.

[tex]A_{lateral} = \frac{bh}{2}[/tex]

[tex]A_{lateral} = \frac{(6 in)(9 in)}{2}[/tex]

[tex]A_{lateral} = \frac{54 in^{2}}{2}[/tex]

[tex]A_{lateral} = 27 in^{2}[/tex]

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

The area of the pyramid's base is 36 square inches. The pyramid has 4 lateral faces, each with a surface area of 27 square inches. The total surface area is 144 square inches.

Area of the Base :

The base of the pyramid is a square with side lengths of 6 inches. To find the area of the square base:Area = side × side = 6 inches × 6 inches = 36 square inches

Lateral Faces :

The pyramid has 4 triangular lateral faces.

Surface Area of Each Lateral Face :

The base of each triangular face is 6 inches, and the height is 9 inches. To find the area of one triangular face, use the formula:Area = 1/2 × base × height = 1/2 × 6 inches × 9 inches = 27 square inches

Total Surface Area :

The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular faces:Total Surface Area = Area of the base + 4 × Area of each triangular faceTotal Surface Area = 36 square inches + 4 × 27 square inches = 36 square inches + 108 square inches = 144 square inches

Therefore, area of the pyramid's base is 36 square inches, the pyramid has 4 lateral faces, each with a surface area of 27 square inches and the total surface area is 144 square inches.



The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each

year since 1980 Wien

year since 1980. Write a function (t) to represent the number of visitors to the Booneville History Museumt

years after 1980.

A-v(t) = 25000(0.025)

B -v(t) = 25000(0.25)

C-v(t) = 25000(0.975)

D-v(t) = 25000(1.025)

Answers

Answer:

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation

Final answer:

To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).

Explanation:

To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.

Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).

Four students drew graphs of a linear function. Which student drew a line with a slope of 3?

Analise
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 1).

Benito
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).

Charlie
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).

Dariya
On a coordinate plane, a line goes through points (2, 3) and (3, 0).

Analise
Benito
Charlie
Dariya

Answers

Answer:

the answer is benito or 2

Step-by-step explanation:

Answer:

benito

Step-by-step explanation:

100% edge 2020! :)))

What is the interquartile range of the data set {23,30,24,28,27,24,26}?

Answers

Answer:

IQR=4

Step-by-step explanation:



Find the missing side length in the following triangle.


A 169

B 10

C 1

D 13

Answers

169 because you have to add the angles from the inside and the firat angke is 90

The missing side length in the triangle with a hypotenuse of 85 and perpendicular of 84 is 13.

To find the missing side length a in the right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we have:

[tex]\[ \text{hypotenuse}^2 = \text{perpendicular}^2 + \text{base}^2 \][/tex]

Given:

- Hypotenuse ( c ) = 85

- Perpendicular ( b ) = 84

- Base ( a ) = ?

Substituting the given values into the Pythagorean theorem equation:

[tex]\[ 85^2 = 84^2 + a^2 \][/tex]

[tex]\[ 7225 = 7056 + a^2 \][/tex]

Now, subtract 7056 from both sides:

[tex]\[ 169 = a^2 \][/tex]

To solve for a, take the square root of both sides:

[tex]\[ a = \sqrt{169} \][/tex]

a = 13

So, the missing side length ( a ) is 13.

Therefore, the correct answer is option D: 13.

(Circles) What is the circumference of this circle, rounded to the nearest
tenth? Use 3.14 for Th.
1 point
The radius of the dirde is 6 inches
15.4 inches
18.8 inches
OOOO
37.7 inches
113.0 inches

Answers

Answer:

37.7 inches

Step-by-step explanation:

[tex]C = 2\pi r = 2 \times 3.14 \times 6 = 37.68 \\ \\ \huge \: C \approx37.7 \: inches[/tex]

Simplify the expression. Write your answer as a power.

(−5/7)^8⋅(−5/7)^9

Answers

The expression [tex](-5/7)^8*(-5/7)^9[/tex] simplifies to [tex](-5/7)^{17[/tex] by adding the exponents, as multiplication of powers with the same base results in adding the exponents.

To simplify the expression [tex]\((-5/7)^8 \cdot (-5/7)^9\)[/tex], you can add the exponents since the bases are the same. When you multiply two powers with the same base, you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex]. Therefore, the expression simplifies to [tex]\((-5/7)^{17}\)[/tex]. When multiplying powers with the same base, like [tex]\((-5/7)^8\)[/tex] and [tex]\((-5/7)^9\)[/tex], you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex].

This means that when you multiply these two expressions together, you end up with the base raised to the power of 17, which is [tex]\((-5/7)^{17}\)[/tex]. This is a fundamental property of exponents, where you can combine like terms to simplify expressions. In this case, the final expression represents the product of the two original expressions raised to the power of 17.

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

To simplify the expression [tex]$(-5 / 7)^8 \cdot(-5 / 7)^9$[/tex]  we can combine the bases and add the exponents since they have the same base:

[tex]$\begin{gathered}(-5 / 7)^8 \cdot(-5 / 7)^9=(-5 / 7)^{8+9} \\ =(-5 / 7)^{17}\end{gathered}$[/tex]

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

I lost track on how to do this in high school I’m helping out my lil brother

Answers

a. -7  < |-9|

b. 2 > -2

c, |-5| = |5|

Answer: A: <

B: >

C: =

Step-by-step explanation: that is the absolute value, you find the absolute value and then see which is bigger or smaller

A regular hexagon and a regular octagon are joined as shown on the diagram.

Work out the size of angle x.

Answers

The interior angle of a regular hexagon is 120°. As two hexagons share a side, [tex]\( x \)[/tex] equals 120°.

In the given diagram, two regular hexagons share a common side, and an interior angle marked as [tex]\( x \)[/tex] is formed by the sum of the interior angles of the two hexagons. The interior angle of a regular hexagon is [tex]\( \frac{{180^\circ \times (n-2)}}{n} \)[/tex], where [tex]\( n \)[/tex] is the number of sides. For a hexagon [tex](\( n = 6 \))[/tex], this angle is [tex]\( \frac{{180^\circ \times (6-2)}}{6} = 120^\circ \)[/tex].

Considering the interior angles of both hexagons and the angle [tex]\( x \)[/tex], the equation [tex]\( 120^\circ + 120^\circ + x = 360^\circ \)[/tex] arises, as the sum of angles around a point is 360°. Solving for [tex]\( x \) yields \( x = 120^\circ \).[/tex] Therefore, the measure of angle [tex]\( x \)[/tex] in the diagram is 120°.

This solution demonstrates the application of the interior angle formula for a regular hexagon and the consideration of the total angle around a point, resulting in the determination that [tex]\( x \) is indeed \( 120^\circ \).[/tex]

For such more questions on hexagon

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WHAT IS BAC
a.50
b.80
c.100
d.130

Answers

(D)130 is the answer

Hello! Your answer is D. 130. I hope this helps and I hope that you have a nice day!

~Mika

y=-3x + 6
y = 9
What is the solution to the system of equations?
(-21,9)
(9,-21)
(9,-1)

Answers

Answer:

(-1, 9)    (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

solve for x.
2(x+6)=18

show how you got the answer

Answers

Answer: x=3

Step-by-step explanation:

2 times (x)= 2x + 6 = 18 (equation) Then you multiply the 2 • 6 = (12) then subtract the 18-12 and you get 6 then you go back to the 2x and think what would (x) have to be for me to get the answer (6) then you think 2x3 = 6 then you get your answer of (3)

I hope this works for you bc this was the way I was taught.

Other Questions
Is a swan a type of duck? Please help me...What is the function that matches the description.A sine function whose amplitude is 5 and Period is 12. Suzy's mother went over the shopping list with Suzy before sending Suzy off to the store. Suzy accidentally left the list at home, so if she is to get the correct items from the list she must use which kind of memory task? Which expression is equivalent to sine StartFraction 7 pi Over 6 EndFraction? Whats the definition of the number i? What is the value of x to the nearest whole number? The middle ear converts sound from what into vibrations that can be sent through what? . In which phylum do organs and organ systems first appear?a. Annelidab. Hemichordatac. Nematodad. Platyhelminthes How did the discovery of oil change Texas Mass wasting is the rapid down-slope movement of rock and soil from a mountain or steep hill. If massive amounts of rock and soil land in a body of water, a tsunami can be the result.Which of the following measures could help to reduce the negative effects of catastrophic mass-wasting events? Your co-worker Terry is dealing with a lot lately. Usually, he is a productive member of your team, but lately, he's been ill-tempered and even rude to you and the rest of your team. You know that Terry's supervisor scolded him for poor work habits and he got a speeding ticket last week. He also seems worried that he might be fired. You're sympathetic, but his attitude is causing the rest of your team to suffer in terms of morale and productivity. How would you approach Terry about his negative attitude in a positive and non-aggressive way? Lindsay is standing in the middle of the aisle of a bus thats at rest at a stop light. The light turns green and the bus speeds up. Without grabbing or hanging on to anything, Lindsay manages to remain stationary with respect to the floor. While the bus is speeding up, the net force on Lindsay points in which direction? a. Toward the front of the bus b. There is no net force on Lindsay c. Toward the back of the bus Which statement about Kwame Nkrumah and Jomo Kenyatta is not true?A. both worked with political parties to bring freedom to their countriesB.Both became the leaders of their countries in later past power peacefully to successorsC.Both work to win independence from British ruleD. Both travel outside Africa to pursue education Security Technology Inc. (STI) is a manufacturer of an electronic control system used in the manufacture of certain special-duty auto transmissions used primarily for police and military applications. The part sells for $45 per unit and had sales of 24,800 units in the current year, 2018. STI has no inventory on hand at the beginning of 2018 and is projecting sales of 28,400 units in 2019. STI is planning the same production level for 2019 as in 2018, 26,600 units. The variable manufacturing costs for STI are $16, and the variable selling costs are only $0.70 per unit. The fixed manufacturing costs are $133,000 per year, and the fixed selling costs are $660 per year. Required: 1. Prepare an income statement for each year using full costing. 2. Prepare an income statement for each year using variable costing. 3. Prepare a reconciliation of the difference each year in the operating income resulting from the full and variable costing methods. Which sentence accurately uses the homophone principal ? Question 4 of 52 PointsWhat did Aaron Douglas's painting Song of the Towers show?OA. African American roots in AfricaOB. African American life in New York CityOC. African American achievements in scienceOD. African American slavery in the South Find the area of the shaded regionA. 1256B. 425C. 201D. 531E. 603F. 249(12m / 8m) determine if the listed line is tangent to the circle Verify that the vector X is a solution of the given system. X' = 1 0 1 1 1 0 2 0 1 X; X = sin(t) 1 2 sin(t) 1 2 cos(t) sin(t) + cos(t) For X = sin(t) 1 2 sin(t) 1 2 cos(t) sin(t) + cos(t) , one has X' = 1 0 1 1 1 0 2 0 1 X = . Which statements are true? Check all that apply.The radius of the cone is 9 units.The height of the cone is 15 units.The height of the cone is 12 units.The volume of the cone is represented by theexpression 17(15)?(9).The volume of the cone is represented by theexpression 1.9(9)2(12)