What is the exact area of the triangle?

What Is The Exact Area Of The Triangle?

Answers

Answer 1

Answer:

0.5

Step-by-step explanation:

All I did was question myself while looking at the triangle, I'll leave it up to you to figure out how I got it. Hopefully, this was helpful if not I apologize. I'm just here to help but I want you to try to explain it instead.


Related Questions

pls help me out pplsss​

pls help me out pplsss

Answers

Answer:

-3/2

Step-by-step explanation:

Count the rise = -3

Count the run= 2

Rise/run= -3/2

Answer:

-7/-4 or 1.75

Step-by-step explanation:

Another formula for the slope of a line is (y2-y1)÷(x2-x1)

So all we need is to find the points (x1, y1) and (x2, y2)

Point 1: (1, -3)

Point 2: (-3, 4)

Sub this into the equation:

(-3-4) ÷ (-3-1) = -7 ÷ -4 = 1.75

Please answer this!!!
Will be Brainlist!!!

Please answer this!!!Will be Brainlist!!!

Answers

Answer:

show the question

sorry

Step-by-step explanation:

plz follow me

Answer:

1) а 2)b

вот правильный ответ

which means the same as a/b

Answers

Answer:

Answer: I do not know the answer

Step-by-step explanation:

Answer:

A/B is the set of those elements which belongs to A but doesn't belongs to B

Mathematically , A/B ={ x : x € A and x does not € B}

Here, € “symbol is used for belong to”

Step-by-step explanation:

On a toll road, there are 7 lanes for drivers to pay their toll. Customer arrival times are random, with an exponential distribution. Service times are random, with an exponential distribution. What is the proper description for this queueing system.

Answers

Queueing system can be analyzed using queueing theory to determine performance measures such as the average queue length, average waiting time, and utilization of the service channels.

The queueing system you have described can be modeled as an M/M/7 queue, where:

M represents that inter-arrival times and service times are exponentially distributed.

M represents that the arrival process is memoryless, meaning that the probability of a customer arriving at any given time does not depend on the previous arrival times or the state of the system.

7 represents the number of service channels, or lanes, available for customers to pay their toll.

The notation for this system is M/M/7, which indicates that it has an infinite queue capacity and that there is no limit to the number of customers that can be waiting in the queue.

In this queueing system, customers arrive randomly and independently, and they join the queue if all lanes are busy. They are served on a first-come, first-served basis, with the service times also being exponentially distributed.

This queueing system can be analyzed using queueing theory to determine performance measures such as the average queue length, average waiting time, and utilization of the service channels.

for such more question on Queueing system

https://brainly.com/question/16332322

#SPJ11

If a pair of lines is intersected by Third line known as a transversal, then pairs of congruent angles are formed true or false

Answers

Answer:

true

Step-by-step explanation:

it forms eight angles

is 6y-27 and 3(3y-9) equivalent or not?

Answers

Answer:

No

Step-by-step explanation:

These two expressions are not equivalent. They are not equivalent, because when you solve the second one, to put it into its simpler form, you have to distribute the 3 out to 3y and -9, which you would get 9y-27. And 9y-27 is not 6y-27, they have different y values. I hope this helps :)

12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3

Answers

option a and option d

Neck cancer is a rare (<10% of the total population). If a case-control study were conducted and an odds ratio obtained, which relative measure would it most likely be estimating

Answers

If a case-control study were conducted to investigate the relationship between an exposure and a rare disease like neck cancer, the most likely relative measure that would be estimated is the odds ratio.

This is because the prevalence of neck cancer in the general population is low, which means that the incidence rate is also low. As a result, it is difficult to calculate the relative risk directly in a case-control study. Instead, the odds ratio is used as a measure of association between the exposure and the disease outcome.

The odds ratio is calculated by comparing the odds of exposure in cases to the odds of exposure in controls. The odds ratio can provide an estimate of the strength and direction of the association between the exposure and the disease outcome in the population being studied.

Learn more about case-control visit: brainly.com/question/5974487

#SPJ4

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?

Use 3.14 to approximate pi.

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?Use 3.14

Answers

Answer:

Circumference shares the same concept with perimeter.

First, let's use the formula for the circumference of a full circle.

C = 2πr

Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.

or

C = πd

Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.

But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.

For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.

So the 'd' in the formula will be 'r'.

Now, let's find the radius.

D/2 = R

So,

35/2 = 17.5

Use this in our formula:-

C = πr

C = 3.14(17.5)

C = 54.95 inches.

public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)

Answers

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

For more information on array visit: brainly.com/question/30891254

#SPJ11

One of the chair lifts at a ski resort unloads 1700 skiers per hour at the top of the slope. The ride from the bottom to the top takes 15 minutes. How many skiers are riding on the lift at any given time?

Answers

For the given question there are always 425 skiers on the chair lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope. The ride from the bottom to the top takes 15 minutes. We have to determine the number of skiers who are riding on the lift at any given time.

There are a few steps that we can take to solve this problem:

Step 1:Calculate how long the trip is from top to bottom:

The trip from bottom to top takes 15 minutes.

Therefore, the trip from top to bottom would take the same amount of time.

Step 2:Calculate how many trips the lift makes in an hour:

We have to convert 1 hour to minutes.1 hour = 60 minutes

Therefore, 1 hour = 60/15 = 4 trips from top to bottom

Step 3:Calculate how many skiers are riding on the lift at any given time.

The chair lift unloads 1700 skiers per hour at the top of the slope.

So, every 15 minutes, 425 skiers are unloaded at the top.

Since the lift takes 15 minutes to make one trip, there are always 425 skiers on the lift at any given time.

There are always 425 skiers on the chair lift at any given time.

To know more about time visit:

brainly.com/question/15356513

#SPJ11

Which kind of chart/graph should be used
to represent a turtle's movement over the
course of an hour?
A. bar graph
B. pie chart
C. line graph
D. pictograph

Answers

A line graph because it shows you the increasing and decreasing rates

Line XC is a tangent to the circle and line XA is a secant of the circle. Given that arc BC measures 25 degrees and arc AC measures 115 degrees, what is the measure of Angle AXC?

Answers

The measure of the secant tangent angle m∠AXC is equal to 45°

What is the secant tangent angle

The secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:

θ = 1/2 (arc EB - arc BD)

where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.

m∠AXC = 1/2(arc AC - arc BC)

m∠AXC = 1/2(115 - 25)

m∠AXC = 1/2(90)

m∠AXC = 45°

Therefore, the measure of the secant tangent angle m∠AXC is equal to 45°

Read more about secant tangent here:https://brainly.com/question/9132922

#SPJ1

what is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time?

Answers

Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

p(x)=x^3 -2x^2 -5x+6;3

Answers

Answer:

P(0)=2

Step-by-step explanation:

At
Beans-and-Donuts Coffee shop, they display their internet fees on
a chart like the one shown below. Determine the slope for the
relationship between the number of minutes, x, and the amount
charged, y.

AtBeans-and-Donuts Coffee shop, they display their internet fees ona chart like the one shown below.

Answers

The slope for the relationship between the number of minutes, x, and the amount charged, y is $1.5

Given that at Beans-and-Donuts Coffee shop, they display their internet fees on a chart

We have to find the slope for the relationship between the number of minutes, x, and the amount charged, y.

Slope = $4.49-$2.99/2-1

Slope=$1.5

Hence, the slope for the relationship between the number of minutes, x, and the amount charged, y is $1.5

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ1

given the function f ( x ) = 6 4 x 2 , find and simplify the difference quotient.

Answers

The difference quotient for the function f(x) = 64x^2 is (f(x + h) - f(x))/h.

What is the expression for the difference quotient of f(x) = 64x^2?

The difference quotient measures the rate of change of a function at a particular point. For the given function f(x) = 64x^2, we can find the difference quotient as (f(x + h) - f(x))/h.

To calculate the difference quotient, we substitute f(x + h) and f(x) into the formula and simplify:

(f(x + h) - f(x))/h = (64(x + h)^2 - 64x^2)/h

Expanding and simplifying, we get:

= (64(x^2 + 2hx + h^2) - 64x^2)/h

= (64x^2 + 128hx + 64h^2 - 64x^2)/h

= 128hx/h + 64h^2/h

= 128x + 64h

The difference quotient for the function f(x) = 64x^2 is 128x + 64h.

Learn more about quotient

brainly.com/question/16134410

#SPJ11

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 4 /5( x^4/5)

Answers

The function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)})\) is: f(x) =\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

Integration is a fundamental concept in calculus, which involves finding the antiderivative or the integral of a given function. The antiderivative of a function is the function whose derivative is the original function. Integration is often used to solve problems in physics, engineering, economics, and many other fields.

To find f, we need to integrate the given function twice.

First, we integrate\(f ''(x) = 4/5(x^{(4/5)})\)with respect to x to find f '(x):

f '(x) = ∫ \((4/5)(x^{(4/5)}) dx = (4/5)\times (5/9)\times x^{(9/5)} + C_1 = (4/9) x^{(9/5)} + C_1\)

where \(C_1\)is a constant of integration.

Next, we integrate f '(x) to find f(x):

f(x) = ∫\([(4/9) x^{(9/5)} + C_1] dx = (4/9)\times (5/14) \times x^{(14/5)} + C_1 \times x + C_2\)

=\((2/45) x^{(14/5)} + C_1 \times x + C_2\)

where \(C_2\) is another constant of integration

Therefore, the function f(x) that satisfies \(f ''(x) = 4/5(x^{(4/5)) }\)is:

\(f(x) = (2/45) x^{(14/5) }+ C_1 \times x + C_2.\)

To learn more about function visit: https://brainly.com/question/12431044

#SPJ11

Please explain! What is the solution for the inequality below:
12- x<8
Please help!!!!!

Answers

Answer:

The solution for the inequality is x>4.

A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow. how tall is the cell phone tower?
the cell phone tower is _ ft

Answers

The height of the cell phone tower will be 138 feet.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow.

Then the height of the cell phone tower will be

Let x be the height of the cell phone tower.

x / 2 = 115 x 12 / 20

    x = 69 x 2

    x = 138 feet

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

in figuring a drug dosage, it is unacceptable to round up to the nearest gram if the drug is to be dosed in milligrams. which dimension of data quality is being applied in this situation?

Answers

The dimension of data quality being applied in the situation where rounding up to the nearest gram is unacceptable for dosing a drug in milligrams is precision.  

Precision is a dimension of data quality that refers to the level of detail or granularity in the data. In the given situation, it is unacceptable to round up to the nearest gram when dosing a drug in milligrams because grams and milligrams represent different units of measurement with different magnitudes.

Rounding up to the nearest gram would result in a significant loss of precision because it would introduce an error of up to 1000 times the intended dosage. Since milligrams are a much smaller unit than grams, rounding to the nearest gram would not provide the necessary level of accuracy required for proper drug dosage.

To ensure precise dosing in milligrams, the dosage calculations must be performed with appropriate precision, considering the decimal places and milligram units, rather than rounding to a higher unit like grams. By doing so, the dosage can be accurately measured and administered, maintaining the required level of precision in the data.  

To know more about dimension click here: brainly.com/question/31106945

#SPJ11

PLEASE HELP ME I’LL GIVE BRILLIANCE TO YOU

PLEASE HELP ME ILL GIVE BRILLIANCE TO YOU

Answers

Answer:

Step-by-step explanation:

3.3

Answer:

B

Step-by-step explanation:

x y
−1 −10
3 14

y= ?x + (?)

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

the sum of twice a
number and 31

Answers

Answer:

Let the unknown number be x ;

\(2(x) +31\\=2x+31\)

Step-by-step explanation:

A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee

Answers

This is just all the possible sets that could be formed by choosing any 6 of 26 people.....this is given by
C(26, 6) = 230,230 possible sets....!!

Which of the following expressions are equivalent to -6-(-2)
Pls I need help

Which of the following expressions are equivalent to -6-(-2)Pls I need help

Answers

Answer:

A) -6+2

Step-by-step explanation:

Answer is: A explanation:

Match each quantity in the first list with an appropriate unit of measurement from the second list. g 1. The volume of a refrigerator2. Distance a person can run in 10 minutes3. The surface area of a tissue box4. The perimeter of a baseball field5. The surface area of the moon6. The volume of a large lake 7. The length of macaroni noodle8. The area of a bed sheeta. cubic kilometersb. square inchesc. metersd. square kilometers e. centimeterf. mileg. cubic feeth. square feetMatch them up

Answers

Volume of refrigerator ---> cubic feet

Distance a person can run in 10 minutes ---> mile

The surface area of a tissue box ---> square inches

The perimeter of a baseball field ---> meters

The surface area of the moon ---> square kilometers

The volume of a large lake ---> cubic kilometers

The lenght of macaroni noodle ---> centimeter

The area of a bed sheet ----> square feet

what is the explicit formula for this sequence? -7,-3,1,5,…

Answers

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

What is the first step you will use to solve this equation:

4x +2 = 7x - 13

Answers

I would subtract 4x from 7x to get x on one side.

A: f(x) = -100(4)^x
B: f(x) = -200(2)^x
C: f(x) = -50(4)^x
D: f(x) = -400(2)^2
PLEASE HELP!!!!

A: f(x) = -100(4)^xB: f(x) = -200(2)^xC: f(x) = -50(4)^xD: f(x) = -400(2)^2PLEASE HELP!!!!

Answers

A is the correct answers
Hope it helps
Answer: A
Hope this helps :)
Other Questions
The ________ was a group of white chicago jazz musicians whose style became known as the chicago style a switch's ________ port is its interface through which it has the least stp cost to reach the root switch. Which statement is true?Question 15 options:Gravity is the force of resistance to a change in position. The greater the distance between two objects, the greater this force will be.Gravity is a force that keeps objects moving in space. The less the object weighs, the further out in space gravity will pull the object.Gravity is the force of attraction between two objects with mass and is dependent on the distance between these objects.Gravity is the force that repels two objects that have opposite charges. It is dependent upon the charges of the objects. A 7-year-old boy was struck by a car while riding his bicycle. his bp is 60/40 mm hg, pulse is 160 beats/min, and respirations are 34 breaths/min. how much iv fluid should you administer per bolus? 7y3 - 16 + 5y2 + (16 4) What is the value of the expression when y = 3? What kingdom is the Dandelion in?animalprotistfungusplant 2 and 1/8 + 1 and 3/4 1. According to Erikson's eight stages of psychological development, when might people become lonely and isolated if they don't form intimate connections?A. Late adulthood. (ages 65 & up)B. Young adulthood. (ages 18 to 40)C. Middle adulthood. (age 12 to 18)2. According to Jung, which two archetypes work together to create a sense of wholeness, oneness, and completion?A. Self and othersB. Aggression & persuasion C. Dark & lightD. Anima & Animus3. Which theorist believed in collective consciousness?A. Carl RogersB. Albert BanduraC. Sigmund FreudD. Carl Jung4. Who believed that a person goes through stages of development where they face different identity crisis? A. Carl JungB. Sigmund FreudC. Albert BanduraD. Erik Erikson5. According to Carl Jung, which archetype is at the center of personality, making up the consciousness, ego, and unconscious mind?A. Prefrontal cortexB. AdolescenceC. ShadowD. Self6. According to Freud, which part of the mind performs the decision-making?A. Humor B. EgoC. UnconsciousnessD. Persona7. Which part of the mind intercepts what youre seeing, hearing, or thinking about in the moment?A. Social MindB. Thanatos MindC. Conscious MindD. Unconscious Mind8. Which archetype of Jungian theory is characterized by masculine energy?A. ShadowB. PersonaC. Self D. Animus9. According to Erikson, middle adult (age 40 to 65) are at risk getting stagnation if they dont pass on what theyve learned to future generations. What does stagnation mean in this context?A. A better sense of self B. A lack of personal growth or developmentC. Repressed angerD. Renewed spirituality10. In which stage of Eriksons eight stages of psychological development will people develop feelings of inferiority if they dont receive regular praise?Hint : this is also when people start to become aware of themselves as individualA. Infancy (Birth to age 5)B. Middle adulthood (ages 40 to 65)C. Early school years (ages 5 to 12)D. Late adulthood (ages 65 and up)11. According to Freud, which function focuses on basic needs, desires, and urges?A. Animus B. Id C. PreconsciousD. Superego12. Which is a good reason to learn about personality theories?A. To decide if you should be friends with someone B. To choose the permanent career for your lifeC. To create a food planD. To reflect on your own personality from a different perspective13. In Freudian theory, which one of the following is an example of an Eros instinct, which includes survival, social cooperation, and reproduction?A. Stealing from an electronics storeB. Skydiving C. Speeding in a carD. Organizing a neighborhood food drive14. Which of the following is a main criticism of Eriksons right stages of psychological development, which focus on personal conflicts at every stage in life?A. His stages skip the adolescent years B. He doesnt explain how to resolve the conflictsC. His theory assumes that youll never get marriedD. His theory is an exact copy of Freuds theory15. What did Sigmund Freud believe about the Eros and Thanatos instincts?A. they cooperate with each otherB. They only dictate how well you do in schoolC. They work against each other D. They dont exist16. Why are Freuds theories about the Eros and Thanatos instinct drives criticized?A. Hippocrates had a better explanation of personality development B. People dont take part in risky behaviors C. Freud himself didnt have a Eros driveD. Theres no way to prove Eros and Thanatos actually exist17. Which Freudian instinct survival instincts, social cooperation, and reproduction?A. ErosB. NeuroticismC. ShynessD. Fear18. In Erikson's eight stages of Psychosocial development, what is the conflict of the toddlerhood stage? Hint - People in this stage can either be supported to become independent, or embarrassed into not believing in themselves.A. Autonomy versus shame and doubtB. Love versus hateC. Joy versus griefD. Intimacy versus Isolation19. According to Freud, what is the Id most focused on? A. Complex unconscious memoriesB. Your own basic needs, such as feeding yourselfC. The extroversion traitD. The need of others20. Who used free association in his therapeutic practice to help uncover the unconscious of his clients?A. Carl JungB. Sigmund FreudC. Erik EriksonD. Alfred Alder*I am providing brainliest. (L7) The Converse of the Pythagorean Theorem states that if the sum of the squares of the lengths of two sides of a triangle is equal to the square of the measure of its third side, then the triangle is a(n) _____ triangle. At 2000 C the equilibrium constant for the reaction 2NO(g)N2(g)+O2(g) is Kc=2.4103. If the initial concentration of NO is 0.175 M , what is the equilibrium concentration of N2? An electromagnetic wave Here is a particular electromagnetic field in free space: (9.64) Er Eo sin at), E B2 (Eo/c) sin (kx -t cat). Show that this field can satisfy Maxwell's equations if w and k are related in a certain way. Cells use ATP toA) move molecules, ions and other substances across membranesB) make new cellsC) decompose old cellsD) make cell membranes stronger so molecules can not pass through The graph shows the total weight of a fish tank, y, as a function of the amount of water in the tank, xWhat is the weight of an empty tank? The 1947 partition of india, stemming from religious differences, resulted in which two independent countries? Can you discount alcohol in Texas?. Hi can somebody pllsss tell me the answer If the product of 9 integers is positive, at most how many of them can be negative ? what teen behaviors do researchers suggest are connected to differences in the prefrontal cortex of the adolescent brain? who perfected the incandescent lightbulb? A. Eli Whitney B. Thomas Edison C. George Westinghouse D. Sears, Roebuck and Co. Fun Foot bioys haking socks for $8 a pair and sels them for 510 . Monthly fixed costs are 515,000 (for sales volumes between 0 and 6.000 pairs), resulting in a breakeven point of 7,500 units. Assume that Fun Foot has been selling 10,000 pairs of socks per month Read the requirsments. Requirement 1. What is Fun Foot's current margin of safety in units, in sales dollars, and as a percentage? Explain the resulte Bogin by identifying the margin of safety in units, then in sales dollars and finally as a percentage The margin of safety in units is The margin of safety in dotlars is (Round the percentage to the nearest hundredth percent, XX% ) The margin of safety percentage is Requirement 2. At this level of sales, What is Fun Foofs operating leverage factor? If volume declines by 11% due to increasing competition, by what percentage will the company's operating income decline? Requirement 2. At this level of sales, what is Fun Foofs operating leverage tactor? If volume declines by 11% due to increasing competion, by what percentage will the compary't operating incoene decline? Begin by kentifying the operating leverage factor and then the percentage decine in operating inconse if volurne dedines (Piound your ariswer fo hwo decimal places?)