(05.03 MC)

An observer (O) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.

Answers

Answer 1

Step-by-step explanation:

let x be the distance between B and P

tan(67)=x/5000

x=2.3558 . 5000

x=11779feet

Answer 2

Answer:

11,779 feet

Step-by-step explanation:

Is the answer


Related Questions

Select the correct answer from each drop-down menu. Simplify. √63

Answers

Answer:

√63 can be written as

√ 9 × 7 = √ 9 × √7 = 3 × √ 7

= 3√7

Hope this helps you

Answer: [tex]3\sqrt{7}[/tex]

Step-by-step explanation:

Separate [tex]\sqrt{63}[/tex] into [tex]\sqrt{7}[/tex] and [tex]\sqrt{9}[/tex].  Then simplify [tex]\sqrt{9}[/tex] into 3.  Thus, the simplified version of [tex]\sqrt{63}[/tex] is [tex]3\sqrt{7}[/tex]

Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel. What is the length of Line segment G D? please help!

Answers

Answer:

5.5

Step-by-step explanation:

Picture Proof

Answer: 5.5 : ) ~ Hope you have a great day!

The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a different spot to place the light. The proposed placements and the lit area that each produces are shown below. 27,5ft 38ft 60ft and 16.5ft 38ft 60 ft How do Nikki’s and Dylan’s proposals compare? Check all that apply. Nikki’s proposed placement will light a greater area than Dylan’s placement. Dylan’s proposed placement will light a greater area than Nikki’s placement. Both proposed placements will light the same sized area. Nikki’s proposed placement will light more than half the yard. Dylan’s proposed placement will light more than half the yard. Dylan’s proposed placement will light exactly half of the yard. Nikki’s proposed placement will light less than half of the yard.

Answers

Answer:

(C)Both proposed placements will light the same sized area.

(F)Dylan’s proposed placement will light exactly half of the yard.

Step-by-step explanation:

The diagram of the proposed light placement is attached below.

The area of the Rectangular Yard=60 X 38=2280 Square feet

The lit area for both placements is in a triangular shape.

Area of a triangle [tex]=\dfrac12 \times Base \times height[/tex]

Area of Nikki's Proposed Placement Lit Area  =0.5 X 60 X 38[tex]=1140 ft^2[/tex] Area of Dylan's Proposed Placement Lit Area=0.5 X 60 X 38 [tex]=1140 ft^2[/tex]

Therefore, the following options are correct:

(C)Both proposed placements will light the same sized area.

(F)Dylan’s proposed placement will light exactly half of the yard.

Please can you help me, it would be greatly appreciated.

Answers

Answer:

20 cm^2.

Step-by-step explanation:

If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.

So each side will have a length of 2 * 1 = 2 centimeters.

It will consist of 5 squares of dimension 2*2 =  an area of 4 cm^2

So the area of the new cross  is 5*4 = 20 cm^2.

We can also calculate the area directly by multiplying  by 2^2 ( the scale factor)squared.)

The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.

One serving of pretzels contains 1.5 grams of fat. That is 3% of the daily amount recommended for a 2,000 calorie diet. How many grams of fat are recommended? Show your work.

Answers

Answer: 50 grams of fat

Step-by-step explanation:

From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.

This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.

Therefore the grams of fat that are recommended will be:

= 100 × 0.5

= 50 grams of fat

Answer:

50 grams of fat

1.5 / 3 = 0.5

0.5 x 100 = 50

Step-by-step explanation:

Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent uses?​ (67)(72)(51)(42)(73)(64)(60)(20)(69)

Answers

Answer:

He needs just 13 pages

That is round up to not more than 20 pages will be the smallest

Step-by-step explanation:

Vincent wants to put 75 photograph in an album.

And a full page holds 6 photo graphs.

If 6 photographes is one page

Then 75 photographes =( 75*1)/6

75 photographes = 75/6

75 photographes= 12.5

12.5 pages will hold 75 photographes but nothing like 12.5 pages.

To the nearest page = 13 pages

1. What is the equation for the following graph
use photo for graph ​

Answers

x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..

please mark it as brainliest ❤️❤️ and follow me..

Answer:

x=5 is the answer

Step-by-step explanation:

hope this helped

what is the slope of A line that passes through the points (−1, 2) and (3, 10)

Answers

Answer:

2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(10-2) / (3-(-1))

8/(3+1)

8/4

2

Answer:

2

Step-by-step explanation:

(x¹, y¹) (x², y²) = (-1,2) (3,10)

Slope = (y²-y¹) ÷ (x²-x¹)

= (10 - 2) ÷ (3 -(-1))

= 8 ÷ 4

= 2

help plz quick i will mark u brainllest

Answers

Answer:

1st one

Step-by-step explanation:

I don't do explanations just answer it mate.

Answer:

hi! your answer should be C. CA EC

Step-by-step explanation:

"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)

Use the substitution method to solve the system of equations. Choose the
correct ordered pair
y = 12x-8
y=8x



A (4.12
B (3,15
C. (5.11
D. (216)​

Answers

Answer:

D) (2,16)

Step-by-step explanation:

Y=12x-8

Y=8x

8x=12x-8

8=12x-8x

8=4x

2=x

Y=8x

Y=16

Answer the question below. Type your response in the space provided.

What is the surface area of the pyramid formed from the net shown here? The triangles are

equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one

decimal point and with the correct unit.

6 cm

Done

Clear

6 cm

6 cm

Answers

Answer:

[tex]62.4$ cm^2[/tex]

Step-by-step explanation:

The net of the triangular pyramid is attached below.

Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .

In the equilateral triangles

Base = 6cmHeight =5.2 cm

Therefore, the surface area of the pyramid formed from the net shown

= 4 X Area of One Triangular Face

[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]

Find the volume of the cone.
Radius: 3 m, Slant Height: 5 m
Round to the nearest whole number.
Volume =[?] m3

Answers

Answer:

Volume of cone = 37.7m^3

Can someone please help me I really need help please help me thank you

Answers

Answer:

We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:

61 = 180 - x

-119 = -x

x = 119°

what is two plus two

Answers

Answer:

4 is the answer to your question

Step-by-step explanation:

What is the original price of a packet of biscuits bought for Rs230 including 6% tax

Answers

Answer:

Rs216.98

Step-by-step explanation:

If Rs230 is including the 6% tax then 230 = 106%

230 / 106 = 1% = 2.1698

2.1698 X 100 = 100% = 216.98

The original price of a packet of biscuits will be Rs216.98.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.

The original price will be calculated as below:-

If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-

230 = 106%

Then 1 percent will be equal to the ratio of 230 and 106 as below,

1% = 230 / 106= 2.1698

Divide 230 by 106 and to calculate the original price multiply by 100.

2.1698 X 100 = 100% = Rs216.98

Therefore, the original price of a packet of biscuits will be Rs216.98.

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cual es la secuencia creciente de los divisores primos de 2520

Answers

Answer:

The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"

Step-by-step explanation:

Given:

2520

Prime factor=?

Prime factor of 2520 is:

[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]

factor 20r+60t to identify the equivalent expression

Answers

Answer:

[tex]\boxed{20(r + 3t)}[/tex]

Step-by-step explanation:

[tex]20r + 60t[/tex]

Factor out 20 from the expression.

[tex]20(r) + 20(3t)[/tex]

Take 20 as common.

[tex]20(r + 3t)[/tex]

Sreya bought shoes for $37.57 and x pairs of socks for $1.95 each. Which expression shows the total money spent? (1 point) 37.57x + 1.95 37.57x + 1.95x 37.57 + 1.95 + x 37.57 + 1.95x

Answers

Answer:

37.57 + 1.95x

Step-by-step explanation:

The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.

I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.

Have a great day, and best of luck for your math problem!

A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X​

Answers

Distance from Y to Z is 10.4 km and Z to X is 20 km

What is Distance?

Distance is a numerical measurement of how far apart objects or points are.

What is Triangle?

A triangle is a polygon with three edges and three vertices.

From the given data plot the graph,

Then,

∠XYZ=∠YZX=75 degrees

Therefore XY=XZ=20 km

[tex]YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30[/tex]

YZ=10.4 km

Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km

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Answer:

Step-by-step explanation:

The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *

Answers

Answer:

[tex]Area = 336\ m^2[/tex]

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

[tex]P = 13x + 14x + 15x = 84[/tex]

[tex]42x = 84[/tex]

[tex]x = 2[/tex]

The length of each side is:

[tex]13x = 26\ m[/tex]

[tex]14x = 28\ m[/tex]

[tex]15x = 30\ m[/tex]

Now, to find the area of the field, we can use the following formula:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where a, b and c are the sides and p is the semi perimeter:

[tex]p = P/2 = 42\ m[/tex]

So we have that:

[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]

[tex]Area = 336\ m^2[/tex]

On a coordinate plane, a curved line with minimum values of (negative 1.56, negative 6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function has a local minimum of 0? [–3, –2] [–2, 0] [1, 2] [

Answers

Question:

On a coordinate plane, a curved line with

minimum values

o   (negative 1.56, negative 6)

o   (3, 0),

maximum value

o  (1.2, 2.9),

crosses the x-axis

o   (negative 2.5, 0),

o   (0, 0),

o   (3, 0),

crosses the y-axis

o   (0, 0).

Which interval for the graphed function has a local minimum of 0?

[–3, –2]

[–2, 0]

[1, 2]

[2,3]

Step-by-step explanation:

From the given information, it 'crosses' the x-axis at (3,0), and this is also a minimum.  Thus the local minimum is at (3,0), so the answer choice for the interval is [2,3]  (not indicated in the posted question, so double check).

The graphed function has a local minimum of 0 at [2, 4]

What is function?

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value.

Given that, On a coordinate plane, a curved line with minimum values of (-1.56, -6) and (3, 0), and a maximum value of (1.2, 2.9), crosses the x-axis at (-2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0).

This means,

When x = -1.56, the minimum value of the function is y(min) = -6

And,

When x = 3, the minimum value of the function is y(min) = 0

Therefore, the graphed function has a local minimum of 0, when x = 3

That means, the interval which contains this value of x is [2, 4] because, x = 3 ∈ [2, 4]

Hence, the graphed function has a local minimum of 0 at [2, 4]

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Find the value of y.
168
X
y = [? ]°

Answers

Answer:

Y=96

Step-by-step explanation:

The required value of y = 192°.

In a circle angle angle of arc x =168°. Angle of arc y is to be determine.

What is angle?

The angle can be defined as line inclined over other line by certain measure called angle.

Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°

Thus, the required value of y = 192°.

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The angle measurements in the diagram are represented by the following expressions.
MY
ZA = 5.7 - 15
ZB = 2x + 21
Pro
Pro
Tea
Solve for x and then find the measure of B:

Answers

Answer:

x = 12

m(∠B) = 45°

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.

Angles A and B are the "Alternate exterior angles" which will equal in measure.

m(∠A) = m(∠B)

(5x - 15) = (2x + 21)

5x - 2x = 15 + 21

3x = 36

x = 12

Since, m(∠B) = (2x + 21)

                     = (2×12) + 21

                     = 24 + 21

                     = 45°

Therefore, x = 12 and measure of angle B will be 45°.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

the function has two real roots and crosses the x axis in two places.

Step-by-step explanation:

Using the general quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

for a quadratic equation

[tex]ax^2 +bx+c=0[/tex]

given the quadratic function below;

[tex]G(x) = -x^2 +4x+2[/tex]

the roots of the equation can be calculated by applying the quadratic formula.

[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]

Therefore, the function has two real roots and crosses the x axis in two places.

Attached is the graph of G(x) for more understanding.

Lisa has 10 pencils. She gives two pencils to Anna and one pencil to Ben. What fraction of her pencils did she give away?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]\frac{3}{10}[/tex]

▹ Step-by-Step Explanation

2 + 1 = 3

Written as → [tex]\frac{3}{10}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex] \frac{3}{10} [/tex]

Step-by-step explanation:

Total pencils that Lisa had = 10 pencils

Total pencils that Lisa had given to Anna and Ben:

=2+1

= 3

Now,

Fraction of her pencils that she gave away:

[tex] \frac{3}{10} [/tex]

Hope this helps...

Good luck on your assignment...

Anybody pls solve this question and explanation btw.​

Answers

Answer:

[tex]Vol=883.6875\,\, cm^3\\[/tex]

Step-by-step explanation:

Recall that the volume of a whole sphere is given by the formula:

[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]

then, the volume of a semi-sphere would be half of the formula above:

[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]

Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.

which makes our calculation:

[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]

The following table shows the expressions that represent the sales of 4 companies


Rank the company sales by smallest to largest percent of increase and select the correct answer below

Answers

Answer:  A,B,D,C

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

Assuming x is the number of years, we have to calculate each equation for x =1:

A = 110 (0.70)^X = 110 (0.70)^1= 77

B = 140 (1.07)^X= 140 (1.07)^1 = 149.8

C =430 (1.90)^x=430 (1.90)^1= 817

D = 310 (1.14)^x= 310 (1.14)^1= 353.4

Comparing the sales:

77(A) < 149.8 (B) <353.4 (D) < 817(C)

So, the correct option is:

A,B,D,C

check all the answers of a present the same level precision. A) 22.543 B) 98.4 C) 0.264 D) 1.04

Answers

Answer:

A,and C

Step-by-step explanation:

A and C have the same level precision , they have three significant digit

change 3/4 to decimal ​

Answers

Answer:

0.75

Step-by-step explanation:

Since we use the base 10 decimal system, first convert 3/4 to out of 100:

3/4 = 75/100

We divide 75 by 100 to get 0.75

A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.

Answers

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

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Which is an example of the consequences of unhealthy eating? What element has the electron configuration 1s^22s^22p^63s^23s^23p^4? What would happen if sex cells underwent mitosis instead of meiosis the minutes component that contains fresh topics to be discussed at a meeting is called ?? Read the passage below and use the information to answer the question that follows. Ferdinand Magellan, a Portuguese navigator and sailor who sailed for Spain, was the first European to find a waterway between the Atlantic and Pacific oceans, and sail across the Pacific. He was the first person to lead a voyage completely around the world, proving that the Earth is round. In September 1519, Magellan left from southwestern Spain in command of five ships and a crew of over 250. The expedition sailed across the Atlantic and down the eastern coast of South America. As they sailed, they explored large rivers looking for the waterway that would connect them to the Pacific. When cold weather and winter storms forced them to camp near the southern tip of the continent, Magellan had serious problems to contend with. One of his ships was destroyed while exploring the area. A group of sailors unhappy with the length and danger of the trip attempted to take control of the expedition and return to Spain. Magellan put down this mutiny attempt by force, beheading the leader and leaving other members of the mutiny behind when the expedition continued. In October 1520, over a year after leaving Spain, they discovered the passage to the Pacifica passage now called the Strait of Magellan. It took over a month to sail through the narrow, cold, stormy strait. During the passage through the strait one of Magellans ships deserted and returned to Spain. On November 28, the three remaining ships sailed out of the strait and into the ocean. Magellan named the ocean Pacifico (Pacific) which means peaceful because, compared to the tumultuous strait they had just been through, the ocean was amazingly calm. Since no European had previously crossed the Pacific, Earths largest stretch of ocean, Magellan and his crew had no idea how big it was and how long it would be before they would again see land. As they sailed month after month, their situation became desperate. Much of the crew became sick from scurvy, a disease caused by lack of vitamin C. Food supplies were not adequate for such a long voyage and those who not killed by scurvy were reduced to eating rats, shoe leather, and sawdust to survive. After over three months of sailing, Magellans expedition arrived in the islands now known as the Philippines. In the several weeks they stayed in the Philippines to recover Magellan and members of his crew became close to the islanders. Magellan converted some to Christianity. In April 1521 Magellan was killed while participating in a battle between rival groups on the island of Mactan. Based on the passage above, what does tumultuous mean? A. rough and uncertain B. calm and peaceful C. fun and exciting D. dull and boring Please select the best answer from the choices provided A B C D Setrakian Industries needs to raise $96.2 million to fund a new project. The company will sell bonds that have a coupon rate of 6.04 percent paid semiannually and that mature in 30 years. The bonds will be sold at an initial YTM of 6.85 percent and have a par value of $2,000. How many bonds must be sold to raise the necessary funds PLEASE HELP ASAP dont have much time. URGENT!!! Please answer ASAP with full working out thank you How many cubic inches in a box that is 2" by 3" by 5" If T={x:X is an integer between 1 and 4} (A) List down the elements of set T in set notation. B write down the number of elements in set T . 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Box B contains 3green, 3 red and 6 yellow balls. A box is sleeted at random and a ball is drawn at random from it. What is the probability that the drawn ball is green? Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) using pencil and paper. Explain the entire process. pleaaassseee help mee. 1. The Troller Corporations common stock has a beta of 1.15. If the risk-free rate is 3.5 percent and the expected return on the market is 11 percent, what is the companys cost of equity capital? Buenas noches. Qu _____ usted comer? A. quiere B. quisiera C. beber D. postre what does the color wheel mean? A string is attached to the rear-view mirror of a car. A ball is hanging at the other end of the string. The car is driving around in a circle, at a constant speed. Which of the following lists gives all of the forces directly acting on the ball?a. tensionb. tension and gravityc. tension, gravity, and the centripetal forced. tension, gravity, the centripetal force, and friction Gion Company is considering eliminating its windows division, which reported an operating loss for the recent year of $111,000. Division sales for the year were $1,170,000 and its variable costs were $1,035,000. The fixed costs of the division were $245,000. If the windows division is dropped, 60% of the fixed costs allocated to it could be eliminated. The impact on Gions operating income from eliminating this business segment would be: