Triangle D has been dilated to create triangle D′. Use the image to answer the question. image of a triangle labeled D with side lengths of 24, 32, and 40 and a second triangle labeled D prime with side lengths of 6, 8, and 10 Determine the scale factor used. Scale factor of one half Scale factor of 4 Scale factor of 2 Scale factor of one fourth

Answers

Answer 1

The scale factor used is 1/4.

We have,

Length of sides of triangle D 24, 32, and 40.

Length of sides of triangle D' 6, 8, and 10.

So, scale factor

= length of corresponding side in D' / length of corresponding side in D

= 6/24

= 1/4

Thus, the scale factor used is 1/4.

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Related Questions

Cole and his sister took part in a canned food drive. Cole brought in 21 cans of food. His sister brought in 7 fewer cans than he did. Together, how many cans did they bring in?

Answers

If Cole brought 21 cans and his sister brought 7 cans less, then the total number of cans brought by them is 35 cans.

The number of cans which Cole brought = 21 cans of food.

His sister brought in 7 fewer cans than he did, which means she brought in:

⇒ 21 - 7 = 14 cans of food,

Let the total number of food-cans be = "f",

So, the equation to find the number of cans is written as :

⇒ x = 21 + 14,

On adding the number of cans,

We get,

⇒x =  21 + 14 = 35,

Therefore, together they brought in 35 cans of food.

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The Bayview Community Pool has a snack stand where Juan works part-time. He tracked his total sales during each shift last month. This box plot shows the results. Total sales per shift ($) 100 150 Submit 200 250 300 What fraction of Juan's shifts had total sales of $225 or more? 350​

Answers

It looks like there are five data points in the box plot, representing Juan's total sales during each shift. The third data point is $200, which is the median value. Since there are an odd number of data points, we know that the median is exactly in the middle of the data set. This means that two of the data points are less than $200, and two of the data points are greater than $200.

The last data point is $300, which is the maximum value. So we know that only one of the data points is between $200 and $300. Therefore, the fraction of Juan's shifts that had total sales of $225 or more is 1/5, or 20%.

Answer:

Step-by-step explanation:

What is the component form of the vector whose tail is the point (−1,5), and whose head is the point (8,−6)?

Answers

The vector in component form whose tail is the point (−1,5), and whose head is the point (8,−6) is (-9, 11)

What is a vector?

A vector is a physical quabntity thet has both magnitude and direction.

To find  the component form of the vector whose tail is the point (−1,5), and whose head is the point (8,−6), we proceed as folows

Since we have the points (-1, 5) and (8, -6) and we want the head to be at (8, -6),

Let A = (8, -6) and B = (-1, 5)

So, AB = B - A

= (-1, 5) - (8, -6)

= (-1 - 8), (5 - (-6))

= (-9, 5 + 6)

= (-9, 11)

So, the vector in component form is (-9, 11)

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Gretta travels 77 miles per hour for 5 hours, find the distance traveled in miles

Answers

Answer: 358 miles

Step-by-step explanation:

Answer: 385

Step-by-step explanation: 77x5

Correct answer gets brainliest

Answers

Answer:

C. Points have no size and no dimensions.

Answer:

I think it is choice A and choice C

SOS need help on this math project with all the work

Answers

To perform this and any other construction in math, you need to use the right tools which include a compass, your drawing board or paper, and a clear understanding of the instruction.

How to construct the shapes and angles

A key to getting the shape and angles of any construction includes knowing what is required of you and implementing these in your construction. In the second slide, you are told to use the segment tool to create segment AB. This tool will be a scale and the measurement will be that of a  line AB.

Next, identify the radius of the circle. This is the point from the center of the circle to any line on the circle. Understanding the instructions is key to bisecting the segment and completing the other activities.

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An office building worth $1 million when completed in 2010 is being depreciated linearly over 25 years. What was the book value of the building in 2013? What will it be in 2019? (Assume the scrap value is $0

Answers

Answer:

2013 - $880,000

2019 - $640,000

Step-by-step explanation:

The office building is being depreciated linearly over 25 years, which means the annual depreciation rate is:

Depreciation rate = (Cost - Scrap value) / Useful life = ($1,000,000 - $0) / 25 = $40,000 per year

To find the book value of the building in 2013, we need to determine how many years have elapsed since 2010. Since 2013 is three years after 2010, the building has been depreciated for three years. Therefore, the book value in 2013 is:

Book value in 2013 = Cost - Depreciation = $1,000,000 - ($40,000/year x 3 years) = $880,000

To find the book value of the building in 2019, we need to determine how many years have elapsed since 2010. Since 2019 is nine years after 2010, the building has been depreciated for nine years. Therefore, the book value in 2019 is:

Book value in 2019 = Cost - Depreciation = $1,000,000 - ($40,000/year x 9 years) = $640,000

Therefore, the book value of the building was $880,000 in 2013 and will be $640,000 in 2019.

Faster please!! thanks!! 30 points + brainliest!!
Which is an example of simple random sampling created from each given population?

Answers

An example of simple random sampling is given as follows:

C. In a bag of more than 500 marbles, reaching the hand into a bag and drawing 25 of them.

How are samples classified?

Samples may be classified as:

A convenient sample is drawn from a conveniently available pool of options.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.

Hence the samples for this problem are classified as follows:

A -> convenient.B -> stratified.C -> random.D -> cluster.

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The average temperature for a dog is 101.8° F, but it can vary by as much as 0.7° F. Write an inequality to represent the normal temperature range of a dog, where t represents body temperature.

|t − 101.8| ≥ 0.7
|t − 101.8| ≤ 0.7
|t − 0.7| ≥ 101.8
|t − 0.7| ≤ 101.8

Answers

The correct inequality to represent the normal temperature range of a dog is |t − 101.8| ≤ 0.7. So, correct option is B.

Here, |t - 101.8| represents the absolute value of the difference between the body temperature of the dog (t) and the average temperature of dogs (101.8° F). The inequality states that this absolute value must be less than or equal to 0.7° F, which is the maximum amount that the temperature of a dog can vary from the average.

If the temperature of a dog is within this range, it is considered to have a normal body temperature. If the temperature is outside this range, it may indicate an underlying health issue or illness.

The other answer choices are incorrect because they do not accurately represent the relationship between the body temperature of a dog and the normal temperature range. For example, |t - 0.7| ≥ 101.8 makes no sense in the context of the problem, as there is no logical reason to subtract 0.7 from the body temperature.

So, correct option is B.

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solve 5 to the power of x+2 is less than or equal to 3 to the power of x

Answers

Step-by-step explanation:

5^(x+2)  <= 3^x    

5^x  *  5^2  <= 3^x

25 <=  3^x / 5^x

25<= (3/5)^x                  LOG both sides

log 25 <= x log (3/5)

log 25 / log (3/5) <= x

- 6.3 <= x

Spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. I spun a penny 300 times and got 134 heads. We wish to find how significant is this evidence against equal probabilities.

What is the sample proportion of heads?

0.444
Incorrect Round to 3 places.

Heads do not make up half of the sample. Is this sample evidence that the probabilities of heads and tails are different?

Take p to be the probability of getting heads in a spin of a penny. Which hypotheses do we want to test?

H0: p = 0.5
H0: p > 0.5
H0: p = 0.5
H0: p ≠ 0.5
H0: p ≠ 0.5
H0: p = 0.5
H0: p = 0.5
H0: p < 0.5
Incorrect


Compute the z test statistic.

z =
0.444
Incorrect Round to 2 places.

Answers

The resulting z-test statistic is 0.44, indicating that the evidence is not significant enough to reject the null hypothesis that the probability of heads is equal to 0.5.

The problem we are trying to solve is to determine if the sample proportion of heads obtained from spinning a penny 300 times (134 heads) is significant evidence against equal probabilities of heads and tails. To do this, we will be testing the null hypothesis H0: p = 0.5, which states that the probability of getting heads is equal to 0.5.

We can calculate the z-test statistic using the formula z = (sample proportion - hypothesized proportion) / (standard error). In this case, the z-test statistic is z = (0.444 - 0.5) / (√(0.5 * 0.5 / 300)) = -0.86. This means that the sample proportion of heads is 0.86 standard errors away from the hypothesized proportion of 0.5.

Therefore, the resulting z-test statistic is 0.44, indicating that the evidence is not significant enough to reject the null hypothesis that the probability of heads is equal to 0.5.

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Write a two-column proof for the following information. Upload your proof below.

Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2

Answers

The required two column proof is explained below.

What is a midpoint?

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Express sin

L as a fraction in simplest terms.

Answers

Answer:

3/5

Step-by-step explanation:

opposite/hypotenuse

21/35

Simplify by dividing by 7 on the numerator and denominator

3/5

someone pls help me asapppp

Answers

Answer:

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] : a₁ = 7

Step-by-step explanation:

a recursive formula allows a term in the sequence to be found from the preceding term.

the sequence here has a common ratio between consecutive terms

[tex]\frac{21}{7}[/tex] = [tex]\frac{63}{21}[/tex] = 3

thus to find a term in the sequence multiply the previous term by 3, that is

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] : first term a₁ = 7

I need help please !!

Answers

Answer:A,D

Step-by-step explanation:

y = [5.3, 27]

x= [-1,3]

Which of the points below correctly plots the point (4,π/3)?

Answers

Answer: The correct answer is B

Step-by-step explanation:

Remember that the coordinates (4,π3) tell us the radius r=4 and the angle θ=π3. So the point should be on the circle labeled 4 and form an angle of π3 with the positive x-axis. Point B is the correct point

What happens to the mode of the data set shown below if the number 6 is added? A The mode will change to two numbers. B The mode will increase by 4. C The mode will change to one number. D The mode will increase by 2.

Answers

Adding the number 6 to the given dataset did not affect the mode, as the number 19 still appeared the most frequently in the new dataset. (option c).

Now, if we add the number 6 to this dataset, we need to determine how this will affect the mode. We can start by looking at the number 19, which was the original mode. If the number 19 still appears the most frequently in the dataset after the addition of the number 6, then the mode will remain 19. However, if another number appears more frequently than 19 after the addition of 6, then the mode will change.

In this case, the number 6 does not appear anywhere in the original dataset, so it cannot be the mode. Therefore, the mode can either remain as 19 or change to a new number, depending on whether any other number appears more frequently than 19 after the addition of 6.

To determine if the mode changes, we need to calculate the frequency of each number in the new dataset. After adding 6, the dataset becomes:

18 24 19

19 18 20

26 25 19

6

From this dataset, we can see that the number 19 still appears twice, while all other numbers appear only once. Therefore, the mode of the new dataset is still 19, and the answer to your question is (C) "The mode will change to one number."

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Complete Question:

What happens to the mode of the data set shown below if the number 6 is added?

18 24 19

19 18 20

26 25 19

A The mode will change to two numbers.

B The mode will increase by 4.

C The mode will change to one number.

D The mode will increase by 2.

[tex](x+7)x^{2} -(x-3)x^{2} =(x+35)x^{2} -(x+34)x^{2}[/tex]

Answers

The equation (x+7)x^2 -(x-3)x^2 =(x+35)x^2 -(x+34)x^2 has no solution for x

Evaluating the equation

From the question, we have the following parameters that can be used in our computation:

(x+7)x^2 -(x-3)x^2 =(x+35)x^2 -(x+34)x^2

Divide through the equation by x^2

so, we have the following representation

(x+7) -(x-3) = (x+35) -(x+34)

When the brackets are removed and the like terms are evaluated, we have

2x + 10 = 2x - 1

Evaluate the like terms again

So, we have

10 = -1

The above equation is false

Hence, the equation has no solution for x

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Solve for BC: 3√2 A B C

Answers

Sides AB = 3√2 and BC = 6.

The given triangle ABC is a right-angled triangle, as ∠BAC = 90°.

In the given right triangle ABC,

Hypotenuse of the triangle = BC

Base and height = AC and AB.

Also, we see from the diagram that ∠ACB and ∠ABC are equal.

∴ Triangle ABC is isosceles, with sides AC = AB = 3√2.

Now, by Pythagoras' theorem,

Hypotenuse² = Base² + Height²

Or, BC² = AC² + AB²

Or, BC² = (3√2)² + (3√2)²

⇒ BC² = 36

Or, BC = 6

Hence, sides AB = 3√2 and BC = 6.

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Suppose you invest $5,000 in an account earning 4.71% APR compounded
monthly. How much money will be in the account after 15 years?

Answers

$9,664.47

After 15 years the account will have $9,664.47

TONS OF POINTS - please help


The Cannon: Ernest's friend Nik is about to be shot out of a cannon. The path he will
travel follows a parabolic arch that can be described by this polynomial.
f(x) = -0.05(x2-26x-120)
He is supposed to land on a safety net 30 feet away. Does the function give you
enough information to tell you where he will land? If so, how far from the cannon will he land?

Make Sense of the Problem
3 points: 1 point for each answer.

-What do you know?
-What do you want to find out?
-What kind of answer do you expect?

1. The function f(x)=-0.05(x2-26x-120)
Represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent

2.what do the zeros of this function represent? Remember the zeros are where f(x)=0

3. Will the zeros tell you where the net should be placed? Why or why not?

4.to find zeros, set the function equal to 0, and then factor the polynomial start by setting the function equal to 0

5. Next factor the polynomial x2-26x-120. To identify the factors, complete the table: note this does not contain all the factors of -120, but it has enough to let you factor the polynomial
(I tried to type out the table )
pqp+q

P. q. p. |
————————— |
10. | 12 | blank. |
—————————.|
-10 | 12 |. Blank. |
—————————.|
30. |. -4. |. Blank. |
—————————-|
4. |. 30. | blank. |
—————————.|

6. Which values of p and w give the correct factors

7. Factor the polynomial completely
0=-0.05(x2 - 26x -120)


8. Find the roots of equation by setting each factor equal to 0 and solving for x.
Hint: there are three factors, but the constant factor, -0.05, does not equal zero
Solve for x with the other two factors

9. Identify the roots


Answers

Answer:

Step-by-step explanation:

2344

6. Find the components of the vector V with initial point P(-4,5) and terminal point
Q(-2,7).
(i) < -2,-2>
(iv) <-6, 12>
(ii) < 8,35 >
(iii) <2, 5/7>
(v) <2,2>
(vi) not listed

Answers

Answer:

Okay, let's break this down step-by-step:

   The initial point is P(-4, 5)

   The terminal point is Q(-2, 7)

To find the components of the vector V, we need to determine:

   The change in x-coordinate = -4 - (-2) = -2

   The change in y-coordinate = 5 - 7 = -2

So the vector components are:

<change in x-coordinate, change in y-coordinate>

= <-2, -2>

Therefore, the answer is choice (i): < -2,-2>

The other choices do not represent the correct changes between the given points P and Q.

Step-by-step explanation:

Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.

Answers

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

[tex]\sqrt{(x-1)^{2} +(y-1)^{2} }[/tex] = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

[tex]x^{2}[/tex] - 2x + [tex]y^{2}[/tex] - 4y + 20 = 0

Completing the square for x and y, we get:

[tex](x-1)^{2}[/tex]  + [tex](y-1)^{2}[/tex]  = [tex]6^{2}[/tex]

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Contrary to common belief, the price of a single item as listed in the CPI (Consumer Price Index) does not always rise and fall in tandem with the price of the same item in the PPI (Producer Price Index). Which of the following is not a reason that makes this so?
a.
Imports are excluded from PPI, but included in CPI.
b.
Taxes paid as part of the purchase are not included as part of the PPI but are included in the CPI.
c.
The PPI includes the prices of goods purchased by other producers while the CPI includes only the prices of goods purchased by consumers.
d.
Since the PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall.

Answers

What does not make the context given as such is since PPI measures the change of the price the producer receives for their product and the CPI measure the change of the price the consumer pays for the product, one should rise while the other will fall. The Option D is correct.

Why does the price not always rise and fall in tandem?

This is because two indexes measure different things. The PPI measures change in prices of goods and services at the producer level while CPI measures the change in prices of goods and services at the consumer level.

That tells us PPI assess prices producers receive for their goods while CPI assess prices consumers pay for those same goods. So, while we have overlap between them, they are measuring different aspects of the economy and their trends may not always move in lockstep with each other.

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hey guys, im b-o-r-e-d in class... what should i do?

Answers

Answer:

Do whatever you want, but paying attention would really help you.

Step-by-step explanation:

If you find yourself bored in class, consider the following options to make the most of your time and stay engaged:

1. Actively participate: Ask questions, contribute to discussions, and try to engage with the material. Active participation can make the class more interesting and help you retain the information better.

2. Take notes: Focus on taking detailed notes, even if you think you understand the material. This will help you stay engaged and make it easier to review the content later.

3. Find connections: Try to relate the class material to your interests or real-world applications. This can make the content more engaging and relevant.

4. Set learning goals: Set specific learning objectives for each class, and try to achieve them during the session. This can help you stay focused and motivated.

5. Practice active listening: Pay attention to the teacher and try to understand the main points they are making. This can help you stay focused and better comprehend the material.

6. Break down the material: Divide the content into smaller chunks and focus on understanding each part. This can make the material more manageable and engaging.

7. Speak with your teacher: If you're consistently bored in class, consider discussing your concerns with your teacher. They may be able to offer suggestions or modify their teaching approach to better suit your learning style.

Remember, it's essential to stay engaged in class to maximize your learning experience and make the most of your education.

Answer:

watch RUN BTS EPISODE simple

14. During 2006, a swimming lesson at a particular school lasted 45 minutes.
(a) In 2007, the lesson time will be 50 minutes.
Find the increase in the lesson time from 2006 to 2007 as a percentage of the lesson time in 2006.
(b) The lesson time in 2007 will be 25% more than it was in 2005. Find how long the lesson lasted in 2005.
(c) At present, James takes 240 seconds to swim 100 metres. In a year's time, he would have improved his swimming time by 25%. Calculate the time he will take to swim 100 metres in a year's time.
m (d) Robert, at present, also takes 240 seconds to swim 100 metres. In a year's time, he would have increased his swimming speed by 25%. Calculate the time he will take to swim 100 metres in a year's time.
(e) Who will be the faster swimmer, James or Robert, in a year's time?

Answers

(a) The lesson time in 2007 is 11.1% more than the lesson time in 2006.

(b) The lesson lasted 40 minutes in 2005.

(c) James will take 180 seconds to swim 100 meters in a year's time.

(d)  Robert will also take 180 seconds to swim 100 meters in a year's time.

(e) James and Robert will swim equally which means that their speed will be same and they will be complete at same time.

(a) The increase in lesson time from 2006 to 2007 is:

Increase = 50 - 45 = 5 minutes

The percentage increase is:

Percentage increase = (5 / 45) x 100% = 11.1%

Therefore, the lesson time in 2007 is 11.1% more than the lesson time in 2006.

(b) Let x be the lesson time in 2005. The lesson time in 2007 is 25% more than it was in 2005, so:

1.25x = 50

Solving for x, we get:

x = 40

Therefore, the lesson lasted 40 minutes in 2005.

(c) James currently takes 240 seconds to swim 100 meters. If he improves his time by 25%, his new time will be:

New time = 240 - (0.25 x 240) = 180 seconds

Therefore, he will take 180 seconds to swim 100 meters in a year's time.

(d) Robert currently takes 240 seconds to swim 100 meters. If he increases his speed by 25%, his new time will be:

New time = 240 - (0.25 x 240) = 180 seconds

Therefore, he will also take 180 seconds to swim 100 meters in a year's time.

(e) Both James and Robert will take the same time to swim 100 meters in a year's time, so they will be equally fast.

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Please help 100 points

Answers

Answer:

SA = 48 cm²

Step-by-step explanation:

the surface area (SA) is the sum of the areas of the 5 faces.

1 square and 4 congruent triangles form the pyramid

area of square = 4 × 4 = 16 cm²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 4 and h = 4

area = [tex]\frac{1}{2}[/tex] × 4 × 4 = 2 × 4 = 8 cm²

area of 4 triangles = 4 × 8 = 32 cm²

SA = 16 + 32 = 48 cm²

Hello, I hope you are having a great day so far, I was wondering if someone ca (seriously) help me and not play around. I really need an Answer asap as soon as possible

PLEASE HELP (I NEED AN ANSWER QUICK!)

Answers

Answer:

the corresponding sides are proportional

Callie uses leather cord to make necklaces. She has a pieces of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make? Show your work.

Answers

Callie can make 5 necklaces.

What is the formula for yards to inches?

So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.

Now, She has a pieces of leather cord that has a length of 4 yards.

Each necklace will have a length of 28 inches.

We have to determine the how many necklaces can Callie make?

We know that :

1 yard= 36 inches

So, Multiply by 36 into 4 yards

4 yards= 36x4= 144

Length of leather cord is 4 yards

144/4 = 5.14

Callie can make 5 necklaces.

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find the polar coordinates of a point with Cartesian coordinates (x,y)=(5√3/2,−5/2).Select the correct answer below:



(5,5π/6)

(10,4π/3)

(5,11π/6)

(10,5π/6)

(5,4π/3)

(10,11π/6)

Answers

Answer: The correct answer is (5, 11π/6). or C

Step-by-step explanation:

The polar coordinates of the point (x, y) = (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((5√3/2)^2 + (-5/2)^2)

= √(75/4 + 25/4)

= √(100/4)

= 5

θ = atan2(-5/2, 5√3/2)

≈ 11π/6 radians

So, the correct polar coordinates of the point (5√3/2, -5/2) are (r, θ) = (5, 11π/6).

Other Questions
if a solution contains a yellow dye and a blue dye, the absorption spectrum will contain [ select ] . Find the length of each segment. in order to get more accurate ratings data, nielsen now uses to track their participants' radio listening habits. Answer in standard form Collusion is:a) legal in the United Statesb) not possible when firms interact repeatedly foreverc) more likely in industries with a large number of firmsd) none of the answers are correct as marginal physical product diminishes, marginal revenue product group of answer choices rises. is not affected. rises at a diminishing rate and eventually falls. also diminishes. You work at Wonka Industries and are considering purchasing a new piece of machinery to produce gobstoppers. The new piece of equipment costs $2,400,000. You will need to pay $100,000 to ship the machinery to your factory and will have to pay a consultant $250,000 to teach you how to properly use the machine. You estimate that the machine will result in the following changes to your sales and cost of goods sold:Year. 1 2 3 4 5Revenue $1,000,000 $1,500,000 $1,750,000 $2,000,000 $2,000,000Cost of Goods $500,000 $750,000 $1,000,000 $1,000,000 $1,000,000Your business pays a 30% tax rate. You also require keeping 20% of next years revenues as net working capital each year. Your cost of capital (discount rate) for this project is 10% per year. You will depreciate the machine and its shipment on a straight line basis over 5 years.a. What will the project do to you reported net income in years 1-5?b. Should you purchase the new machine? How much wealthier (or poorer) will you be in todays dollars if you decide to go ahead and purchase the machine. when an exception is thrown by code in its try block, the jvm begins searching the try statement for a catch clause that can handle it and passes control of the program to . When the foreign exchange market determines the relative value of a currency, we say that the country is adhering to a pegged exchange rate regime.T/F When approaching a frozen dessert truck with its red lights flashing you must do what? shown are projected revenues and costs based on last year's income statement (8,000 units) and practical capacity (10,000 units). the costs are either variable, fixed, or mixed (part variable and part fixed.) you need to figure out what the cost type is based on the cost behavior. projected revenues and costs data last year (8,000 units) practical capacity (10,000 units) total per unit total per unit revenue $800,000 $100.00 $1,000,000 $100.00 costs: direct material $200,000 $25.00 $250,000 $25.00 direct labor $160,000 $20.00 $200,000 $20.00 mfg. overhead $180,000 $22.50 $200,000 $20.00 selling expenses $40,000 $5.00 $50,000 $5.00 admin. expenses $50,000 $6.25 $50,000 $5.00 total costs $630,000 $78.75 $750,000 $75.00 pre-tax profit $170,000 $250,000 required 1. assume that hartford expects to sell the same number of units as last year in their normal distribution channels (8,000 units). they have received an offer from a one-time customer (not part of their normal customer mix) to buy 1,000 units (additional to their expected normal sales) at a price of $71. by how many dollars would pre-tax profit increase or decrease if hartford accepts the special order? (9 points) pre-Civil War most important economic segment swissaire, inc. had filed a registration statement with the securities and exchange commission (sec) for a public offering of common stock. the registration statement was completed on november 30, 1999 and filed on december 1, 1999. the statement became effective on december 30, 1999. shares were first sold on december 31, 1999. when can swissaire first run a tombstone ad? In the end, we eventually agreed to refer the matter to the legal authority What is the redundant word Which color (frequency) of light travels the fastest in a vacuum? From the list below, identify the five groups considered to be a type of watchdog group.Multiple select question.socially conscious investorssocially conscious research organizationscustomersenvironmentalistsunion officialssupplierswholesalers in the supply chain which of these is a requirement for advertising on shopping ads? A. store policy B. country-specific destination urlC. full contact information D. secure checkout Chickadees and other birds who store food in hundreds of places cannot remember the food storage locations months later if their ___________ has been removed. what is the correct order of the following bonds in terms of decreasing polarity? question 5 options: 1) n-cl, p-cl, as-cl 2) p-cl, n-cl, as-cl 3) as-cl, n-cl, p-cl 4) p-cl, as-cl, n-cl 5) as-cl, p-cl, n-cl write a function that creates and returns the value of a quadratic form, ut m u, for a vector u and matrix m. the result is a number.