The** distance** of the **flag pole** from the end of the shadow is 23.32 feet.

A 20 foot f**lag pole** is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:

The situation forms a** right angle triangle**.

Hence, using **Pythagoras's theorem,** we can find the distance.

Therefore,

c² = a² + b²

where

c = hypotenusea and b are the legsTherefore,

20² + 12² = c²

400 + 144 = c²

c = √544

c = 23.3238075794

Therefore,

distance of the flag pole to the end of the shadow = 23.32 feet

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what is the slope between the points (14,1) and (6,-15)

the slope of these is 2 !

Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?

Can anyone help me thank you

Riley planted 4,820 pumpkins

Multiply (x+5)(x-2).

**Answer:**

x^2+3x−10

**Step-by-step explanation:**

**X^2+3x-10
**

**
**

**First multiply x with (x-2)Next multiply 5 with (x-2) with + sign between them
**

**
**

**x(x-2)+5(x-2)
**

**
**

**X^2–2x+5x-10
**

**
**

**X^2+3x-10**

Answer: x^2-2x+5x-10

Step-by-step explanation:

multiply x1 by x2 which equals x^2 then x1 by -2 which is -2x then multiply 5 by x2 which is positive 5x then multiply 5 by -2 which is -10

Triangle A is similar to triangle B.If the scale factor of triangle A to triangle B is 4 to 5,what is the ratio of the perimeter of triangle A to triangle B?

**Answer:**

4:5

**Step-by-step explanation:**

The ratio of the perimeter of the two similar shapes is equal to the scale factor of the two similar shapes.

The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,

where x is the number of years since 2002. According to the model, what will be the

price of fuel oil per gallon be in 2018?

Answer: $5.04

Step-by-step explanation:

1.) Start by subtracting 2002 from 2018. (2018-2002=16)

2.) plug into the equation ( y= 0.24(16)+1.20)

3.) plug into calculator and you should get 5.04

**Answer:**

5.04

**Step-by-step explanation:**

5.04

What is the perimeter of the rectangle in the coordinate plane?

13 units

16 units

26 units

30 units

26 units is the answers for this questions. To find the perimeter, put a slash in each square. The only squares that will get 2 slashes is the corners

10+3+10+3= 26 units

the perimeter of the rectangle in the coordinate planes is 26 units

f(x)=−x 2 −4x−19 find f(-9)

**Answer:**

64

**Step-by-step explanation:**

The value of the **function **f(x) = x² −4x−19 at the value x = -9 will be **98**.

A function in **mathematics **from a set X to a set Y allocates **exactly **one element of Y to each element of X. The **sets **X and Y are collectively referred to as the** function's **domain and codomain, respectively.

A function is defined as the **expression **that set up the relationship between the **dependent **variable and independent variable.

Given function is ** **f(x) = x² −4x−19. The value of the function at f(-9) will be calculated as:-

f(x) = x² −4x−19

f(-9) = ( -9 )² - ( 4 x --9 ) - 19

f(-9) = 81 + 36 - 19

f(-9) = 98

Therefore, the value of the **function **f(x) = x² −4x−19 at the value x = -9 will be **98**.

To know more about **functions **follow

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Write

7

2

5

as an improper fraction.

**Answer:**

7*2/5 it is a improper fraction

**Answer:**

[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]

**Step-by-step explanation:**

Those are all the improper fraction forms of 7, 2, and 5.

solve for x 3x/2= 15

**Answer:**

the answer is x=10

:)

**Step-by-step explanation:**

There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?

Give your answer as a fraction

Please can someone help thank you very much :)

**Answer:**

1/3

**Step-by-step explanation:**

2/6 means that 2 out of the 6 tills have comfy seats. 2/6 simplified is 1/3

**Answer:**

[tex]\frac{1}{3}[/tex]

**Step-by-step explanation:**

The total amount of tilts is 6

The amount of tilts with comfortable seats is 2

So there are **two tilts with comfortable seats out of six** tilts that are in the supermarket

Now write it as fraction:

[tex]\frac{2}{6}[/tex] = [tex]\frac{2*1}{2*3}[/tex] (alternatively 2/6)

Here we get the probability

// divide numerator and denominator by 2

[tex]\frac{2*1}{2*3}[/tex] = [tex]\frac{1}{3}[/tex] (alternatively 1/3)

**100 points**

Which of the following is being constructed in the image?

A. a line parallel to a given line through a point, not on the line

B. a line perpendicular to a given line through a point not on the line

C. a line segment that is congruent to a given segment

D. a perpendicular bisector of a line segment

**Alright, sorry for possibly wasting the answer, but its either D or B. i think its D, because its a bisector of the line segment, but B reads that it IS perpendicular, but on points not the line. You can rule out which one of the two it is, i would suggest asking a teacher for help or waiting for a better and more reliable answer.**

**Sorry if this doesn't help, if it does could I have Brainliest? Bless you, have a nice day.**

**Answer:**

D

**Step-by-step explanation:**

PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEE

1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that , and she wrote the following equation to represent the value of .

(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of . Show your work.

(b) Write an equation and find the circumference of the circle.

Answer:

**Answer:**

C = 14 x Pi

C = 14 x 3.14

C = 43.96 in

**Answer:**

**Step-by-step explanation:**

The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)

Round 42,736,325 to the nearest million

**Answer:**

i hope this helps :)

**Step-by-step explanation:**

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

**Answer:**

43 million

43000000

**Step-by-step explanation:**

7 rounds up

Select the most appropriate response. An event A will occur with probability 0.4. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.20. We may conclude Question options: that events A and B are independent. that events A and B are dependent. that either A or B always occurs. that events A and B are mutually exclusive.

**Answer:**

Events A and B are dependent

**Step-by-step explanation:**

If A and B are two events such as A and B are dependent then

P(A∩B) [tex]\neq[/tex] P(A) P(B)

An event A will occur with probability 0.4 that is [tex]P(A)=0.4[/tex]

An event B will occur with probability 0.6 that is [tex]P(B)=0.6[/tex]

[tex]P(A)P(B)=0.4(0.6)=0.24[/tex]

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B) [tex]\neq[/tex] P(A) P(B)

So,

events A and B are dependent

According to the given probabilities, it is found that events A and B are **dependent**.

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the **probabilities **given are:

[tex]P(A) = 0.4, P(B) = 0.6, P(A \cap B) = 0.2[/tex]

The **multiplication **is:

[tex]P(A)P(B) = 0.4(0.6) = 0.24[/tex]

Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], the events A and B are **dependent**.

You can learn more about **dependent **and **independent **probabilities at https://brainly.com/question/14478923

How do I solve this

4+(3.7-x)=1.72

**Answer:**

x = 5.98

**Explanation: **

1. 4+(3.7−)=1.72

2. 4+(−+3.7)=1.72

3. 4−+3.7=1.72

4. 7.7−=1.72

5. −+7.7=1.72

6. −+7.7−7.7=1.72−7.7

7. −=−5.98

Then simplify to x =5.98

An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.

15 necklaces and 1 bracelet

8 necklaces and no bracelets

no necklaces and 16 bracelets

3 necklaces and 8 bracelets

no necklaces and 8 bracelets

5 necklaces and 6 bracelets

**Answer:**

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

**Step-by-step explanation:**

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

PLZ HELP!! NEED QUICKLY!!

Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.

**Answer:**

DF = 3

m<B = 28 degrees

**Step-by-step explanation:**

Hope that helps!

Which subtraction sentences have a difference of 142 Choose Yes or No for each number sentence.

5 - 4. Choose.

8

Choose

Choose...

9-81 choose.

**Answer:**

the question does not make sense. please rewrite the question.

Please help me with this word problem thank you

**Answer:**

10 miles per hour

**Step-by-step explanation:**

122-52= 70

70 miles/ 7 hours

10 miles per hour

HELPPPPPP ANSWER ASAP

I think is 4.7 for SU, pls let me know if is right :).

The answer for this question is 4.7

What is the actual distance between River City and Pine Bluff?

(9 miles)

The actual distance between River City and Pine Bluff is 9 miles.

The actual distance between River City and Pine Bluff is 9 miles.

aplicaciones de la geometría en la vida

**Answer:**

I don't understand I'm sorry.....

What is the property of 4x+6=18

**Answer: 4x-6= 18**

**4x=24**

**x= 24 & 4**

**x=6**

**Step-by-step explanation:**

**Answer:**

x = 3

**Step-by-step explanation:**

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

Is the line vertical or horizontal if the equation is x=-1.

**Answer:**

the line is vertical

**Answer:**

vertical.

**Step-by-step explanation:**

you can tell its vertical because it says x=-1, meaning it will be on the x axis. i also graphed it in the picture. hope this helped !

pls plz plz plz plz plz help me pls

**Answer:**

7 i think

**Step-by-step explanation:**

**Answer:**

8 square units I believe!

**Step-by-step explanation:**

Hope that helps!

find x and round to the nearest tenth

**Answer:**

X=21.4

**Step-by-step explanation:**

^^^

Your answer to your question is X= 21.4

Need help with a math question urgently

If 1

**Answer:**

Wheres the picture-

**Step-by-step explanation:**

Which boxes have a volume of 120 cubic feet? Box A: length of 5 ft, width of 4 ft, height of 6 ft Box B: length of 7 ft, width of 7 ft, height of 6 ft Box C: length of 3 ft, width of 6 ft, height of 4 ft Box D: length of 10 ft, width of 3 ft, height of 4 ft

**Answer:**

Boxes **A** and **D** have a volume of 120 cubit feet.

**Step-by-step explanation:**

First, we just have to find the volume for each box so we do...

The volume of box A is:

(Length) x (Width) x (Height) = 5 ft x 4ft x 6ft = 120 [tex]ft^{3}[/tex]

The volume of box B is:

(Length) x (Width) x (Height) = 7ft x 7ft x 6ft = 294 [tex]ft^{3}[/tex]

The volume of box C is:

(Length) x (Width) x (Height) = 3ft x 6ft x 4ft = 72 [tex]ft^{3}[/tex]

The volume of box D is:

(Length) x (Width) x (Height) = 10ft x 3ft x 4ft = 120 [tex]ft^{3}[/tex]

Now we can see that boxes A and D have a volume of 120 cubit feet.

Solve

Four times the sum of 6 and some number is 32. What is the number?

**Answer:**

Thus, the value of x is 1.

**Step-by-step explanation:**

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

Which number is divisible by 8? O 1,026 1,024 1,022 1,020

**Answer:**

1024

**Step-by-step explanation:**

1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer

today, alcoholic beverages are one of the most heavily taxed consumer products. true or false?
whats a good first job for 18-20 year old girl without experience
1. Write a regular expression to specify all bit-strings that have at least three 0s in a row.2. Write a regular expression to specify the set of anonymous user ids of the following form: An A, a B, or a C, followed by 3 digits, followed by a string of 7, 8, or 9 lower-case English letters, followed by one or more of the following symbols: {!, *, $, #}.
multiple select question select all that apply mr. big invested $10,000 in his new sole proprietorship called buy
describe in terms of kmt how a semipermeable membreane functions when placed between pure water and 10percent sugar solution
Suppose that G(x) = BO + B1*x + B2*x^2 + B3*x^3 + B4*x^4 +....Taking F(x) as in the first problem, suppose that G'(x) = F(x). What is B50? (Hint: What's the power series for G'(x) going to be in terms of B?)
evaluate the indefinite integral. (use c for the constant of integration.) x11 sin(3 x13/2) dx
Complete the chart with the correct kingdom and characteristics.
Between last year and this year, the CPI in Blueland rose from 100 to 110 and the CPI in Redland rose from 100 to 104. Bluelands currency unit, the blue, was worth $0.75 (U.S.) last year and is worth $0.60 (U.S.) this year. Redlands currency unit, the red, was worth $0.50 (U.S.) last year and is worth $0.40 (U.S.) this year. Consider Blueland as the home country.a. Calculate Bluelands nominal exchange rate with Redland.Instructions: Enter your response rounded to one decimal place. Last year: blue red/blueThis year: red/blueThe percentage change in Bluelands nominal exchange rate from last year to this year is:Instructions: Enter your response as a whole number. Be certain to enter "0" if required. %b. Calculate Bluelands real exchange rate with Redland.Instructions: Enter your response rounded to two decimal places.Last year: red/blueThis year: red/blueThe percentage change in Bluelands real exchange rate with Redland from last year to this year is:Instructions: Enter your response rounded to two decimal places. Be certain to enter "0" if required. %c. Relative to Redland, you expect Bluelands exports to be (Click to select) by these changes in exchange rates.
Shaftel Ready Mix is a processor and supplier of concrete, aggregate, and rock products. The company operates in the intermountain western United States. Currently, Shaftel has 14 cement-processing plants and a labor force of more than 375 employees. With the exception of cement powder, all materials (e.g., aggregates and sand) are produced internally by the company. The demand for concrete and aggregates has been growing steadily nationally. In the West, the growth rate has been above the national average. Because of this growth, Shaftel has more than tripled its gross revenues over the past 10 years.Of the intermountain states, Arizona has been experiencing the most growth. Processing plants have been added over the past several years, and the company is considering the addition of yet another plant to be located in Scottsdale. A major advantage of another plant in Arizona is the ability to operate year round, a feature not found in states such as Utah and Wyoming.In setting up the new plant, land would have to be purchased and a small building constructed. Equipment and furniture would not need to be purchased; these items would be transferred from a plant that opened in Wyoming during the oil boom period and closed a few years after the end of that boom. However, the equipment needs some repair and modifications before it can be used. The equipment has a book value of $200,000, and the furniture has a book value of $30,000. Neither has any outside market value. Other costs, such as the installation of a silo, well, electrical hookups, and so on, will be incurred. No salvage value is expected. The summary of the initial investment costs by category is as follows:After reviewing these data, Karl Flemming, vice president of operations, argued against the proposed plant. Karl was concerned because the plant would earn significantly less than the normal 8.3% return on sales. All other plants in the company were earning between 7.5 and 8.5% on sales. Karl also noted that it would take more than 5 years to recover the total initial outlay of $582,000. In the past, the company had always insisted that payback be no more than 4 years. The company's cost of capital is 10%. Assume that there are no income taxes.. Prepare a variable-costing income statement for the proposed plant.Shaftel Ready MixIncome StatementFor the Proposed Plant$$Less fixed expenses:$$Compute the ratio of net income to sales. Enter as a percent, rounded to two decimal places.%Is Karl correct that the return on sales is significantly lower than the company average?SelectYesNoCorrect 2 of Item 22. Compute the payback period for the proposed plant. Round to two decimal places.yearsIs Karl right that the payback period is greater than 4 years?SelectYesNoCorrect 4 of Item 23. Compute the NPV and the IRR for the proposed plant. Round present value calculations and final NPV to the nearest dollar.NPV$IRRSelectThe IRR is between 16% and 18%The IRR is between 18% and 20%The IRR is between 20% and 25%The IRR is between 25% and 30%Correct 6 of Item 2Would your answer be affected if you were told that the furniture and equipment could be sold for their book values?SelectYesNoCorrect 7 of Item 2If your answer would be affected if you were told that the furniture and equipment could be sold for their book values, repeat the analysis with this effect considered. If not, leave the entry boxes blank. Round present value calculations and final NPV to the nearest dollar.NPV$IRRSelectThe IRR is between 12% and 14%The IRR is between 14% and 15%The IRR is between 15% and 16%Correct 9 of Item 24. Compute the cubic yards of cement that must be sold for the new plant to break even. Round your answer to the nearest whole number.cubic yardsUsing this break-even volume, compute the NPV and the IRR. Round present value calculations and final NPV to the nearest whole dollar.NPV$IRRSelectThe IRR is between 9% and 10%The IRR is between 11% and 12%The IRR is between 10% and 11%Correct 12 of Item 2Would the investment be acceptable?SelectYesNoCorrect 13 of Item 2*CONCEPTUAL QUESTION*: If so, explain why an investment that promises to do nothing more than break even can be viewed as acceptable.5. Compute the volume of cement that must be sold for the IRR to equal the firm's cost of capital. Round your answer to the nearest whole number.cubic yardsUsing this volume, compute the firm's expected annual income. Round your answer to the nearest whole dollar.$per year
as a medical professional, what barriers would you assume would be in place to encouraging parent participation in the safe to sleep campaign (formally back to sleep campaign)?
find the area bounded by the parametric curve x=cos(t),y=et,0t/2,x=cos(t),y=et,0t/2, and the lines y=1y=1 and x=0.
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The ____________________________ for CQI is its direct impact on quality, usually a net gain to the customer or patient.
suppose that a small company is thinking of putting plants in their lobby for employees to view and enjoy. since the plants are to be viewed by employees, the plants are non-excludable (it is infeasible to move a plant each time a specific individual walks by) and non-rival in consumption (if one worker looks at the plant, it does not prevent another from doing so as well). the company employs three workers: tim, greg, and ray. the company is thinking about buying up to three plants, and wants to know how much workers would enjoy each plant. for tim, the first plant has a benefit of $47 per day, the second plant has a benefit of $37 per day, and the third plant has a benefit of $13 per day. for greg, the first plant has a benefit of $41 per day, the second has a benefit of $28 per day, and the third has a benefit of $6 per day. for ray, the first plant has a benefit of $31 per day, the second has a benefit of $19 per day, and the third has a benefit of $2 per day. given that no one else will see the plants, no one else values the plants in the lobby. what is the marginal social benefit of the first plant? $ what is the marginal social benefit of the second plant? $ what is the marginal social benefit of the third plant? $
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animals like dogs and cats that have white fur and blue eyes tend to be:
Contesta la pregunta en la forma AFIRMATIVA con el pronombre de objeto directo tienes el dinero
what is the ph of rainwater at 25c in which atmospheric co2 has dissolved, producing an initial [h2co3] of 1.3910-5 m ? take into account the autoionization of water.