Corin measures the apparent height of a tower 800 feet away by holding a ruler in front
of her eye and observing that the tower appears to be 9 inches tall. The apparent height h
(in inches) varies inversely with Corin's distance d (in feet) from the tower. Write an
equation that gives d as a function of h. How tall would the apparent height of the tower
be if she was standing 2000 feet away from the tower? Show your work.

Answers

Answer 1

Answer:

Since the apparent height h of the tower varies inversely with Corin's distance d from the tower, we know that h and d are inversely proportional. This means that the product of h and d is constant. We can write this relationship as:

hd = k

where k is a constant.

We can find the value of k by substituting the known values of h and d:

9 inches * 800 feet = k

Solving for k, we find that k = 7200 inches * feet.

Since h and d are inversely proportional, we can write the inverse relationship as:

d = k / h

Substituting the value of k that we found earlier, we have:

d = 7200 inches * feet / h

To find the apparent height of the tower if Corin is standing 2000 feet away, we can substitute 2000 for d in the equation above:

h = 7200 inches * feet / 2000 feet = 3.6 inches

Therefore, the apparent height of the tower would be 3.6 inches if Corin is standing 2000 feet away.

Step-by-step explanation:


Related Questions

lugar kung saan nanumpa si pang.quezon?​

Answers

Answer:

Sa Corregidor nanumpa sai Pang. Quezon para sa kanyang ikalawang termino bilang pangulo ng pamahalaang komonwelt

I’m seriously stuck Please help in anyway

Answers

Answer:

Step-by-step explanation:

8 over 2

Answer:

Exact Form:

7 √ 53 /53

Decimal Form:

0.96152394

Step-by-step explanation:

free branliest! come come comeeee get it!

Answers

Answer:

thanks i appreciate it                                                                        

Answer:

Thank you Do you Have a question Or?

A group of workers can plant at a group of workers can plant at a rate of 14 acres per day How many acres can they plant in 2 days

Answers

Answer:

28 acres

Step-by-step explanation:

If the workers can plant 14 acres in one day then they can double that in two days.

14 × 2 = 28

Have a beautiful day! :)

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:   9

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

Answer:

9

I am not able to upload my answer unless its 20 characters long

will give brainly and 50 points! Please be original and do it in less then 10 minutes please and ty!

Answers

Answer:

110.88 feet²

Step-by-step explanation:

Area of trapezoids = (base 1 + base 2) × (height ÷ 2)

(15.2 + 11.2) × (8.4 ÷ 2) = 110.88

The area is 110.88 feet²

Kana tried to solve the system of equations below. She says there are no solutions. Is Kana correct? Explain your reasoning.

Answers

The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

What are algebraic properties?

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

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is 3/8 bigger than 45/100

Answers

no, 45/100 is greater. 3/8 as a decimal is .
0.375 and 45/100 is 0.45 the tenth place is larger making the number larger

the image point using the translation (x,y) (x + 4, y -1) for the point (3,3) is?

Answers

The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)

What is transformation?

Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation

The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.

The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)

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A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.

Answers

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

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What is the value of a + c if a = 18, b = 27, and c = 11?
38
45
29
16

Answers

A+C=29 because 18+11=29

Answer:

c) 29

Step-by-step explanation:

a and c are given as 18 and 11, respectively.

[tex]a + c\\= 18 + 11\\=29[/tex]

A music store sells about 50 of a new model of drum per month at a price of $120 each. For each $5 decrease in price, about 4 more drums per month are sold. What prices of the drum will reach over $6500? And write the equation to this inequality?

Answers

The prices of the drum that will reach over $6500 are between $3 and $8

And the inequality expression is (50 + 4x) (120 - 5x) > 6500

What prices of the drum will reach over $6500?

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

Number of models = 50

Initial price = $120

Also from the question, we have:

Decrease in price by $5Increase in the number of drums by 4

So, we have

Models = 50 + 4x

Price = 120 - 5x

This means that the revenue function is

R(x) = (50 + 4x) *  (120 - 5x)

When the price reaches over $6500, we have

(50 + 4x) *  (120 - 5x) > 6500

Using a graphing calculator, we have

2.911 <x < 8.5

Approximate

3 ≤ x ≤ 8

Hence, the model reaches $6500 between 3 and 8

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GIVING 100 PTS AND BRAINLIEST IF ALL ARE ANSWERED CORRECTLY NOT GUESSED WITH EVIDENCE IF YOU GET THEM ALL CORRECT I WILL THROW IN 200 POINTS

Answers

Answer:

(2,1)

6928ft

59.0813m

26 1/4m

Step-by-step explanation:

Area of a trapezoid = (a+b)*h/2 so (100+150)*80/2

= 10000

Area of a rectangle = l*w so 48*64

=3072

10000-3072 = 6928

The surface area of a square pyramid is A=a^2+2a√a^2/4+h^2 which is A=4^2+2(4)√(4)^2/4+(5)^2 which = 59.08

Volume of a rectangular prism is l*w*h so 3.5*1.25*6 = 26.25 which is equal to 26 1/4

What is −183 ? Group of answer choices

a No answer choice is correct

b -5,832

c 5,832

Answers

Answer:

it is b because I did the problem yes it is b

There are 10 brown socks and 8 blue socks in a drawer. In the dark, you pull out a sock and put it on. Then you pull out another sock and put it on your other foot. What is the probability that you have on two blue socks?

Answers

Answer:

28 / 153 or around an 18.3% chance.

Step-by-step explanation:

P (b, b) = (total blue / total socks) × (total blue – 1 / total socks – 1) =

(8 / 18) × (7 / 17) = 56 / 306 = 28 / 153

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

Rise over run.

The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.

Answer:

The slope is 2.

Step-by-step explanation:

Let me know if you need an explanation.

hope this helps and is right :)

Do you find it easy or challenging to create your own rule to generate a pattern? Explain!

Answers

Answer:

yes but only because I don't do it often

A cylindrical grain bin has a radius of 9 feet and a height of 30 feet. How many cubic feet of grain can the bin hold?

Answers

Answer:

7,630.2

Step-by-step explanation:

Cylinder Area = 2 x π x r x (r + h)

2 x π x 9 x (9 + 30) = 7,630.2

Answer:

7,630.2

Step-by-step explanation:

Please help!!
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 44%. What is the probability that it will rain on at most two of the seven days they are there? Round your answer to the nearest thousandth.​

Answers

Answer: 0.336

Step-by-step explanation:

n=7

r=2,1,0

p=44%=0.44

q=1-0.44=0.56

7C2(0.44)^2(0.55)^5 +

7C1(0.44)^1(0.56)^6 +

7C0(0.44)^0(0.56)^7

Evaluate:

0.2239055109+

0.0949902167 +

0.0172709485

Sum: 0.33617= 0.336

If tan k times 90 = 0 then k is an even integer.

Answers

It is true that If tan k times 90 = 0 then k is an even integer.

What is meant by integer?

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.

Here,

Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).

To Use the unit circle

tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)

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To prevent deer from running across highways, researchers are investigating sound-emitting devices that would frighten deer before they reach the highway. As part of the investigation, the researchers set up 20 devices along a two-mile stretch of road. When a deer approached a device, the device would activate and emit a sound. The researchers recorded whether the deer moved toward the highway (positive response), away from the highway (negative response), or did not move (neutral response).

The researchers kept the loudness of the sound constant at 60 decibels. However, they varied the pitch of the sound. There were 6 treatment levels, all measured in kilohertz (kHz): 0, 0.28, 1, 8, 15, and 28. The order of the treatments was randomly assigned.

(a) The control in the experiment was 0 kHz, or no sound. What information is gained by using the control with no sound that could not be obtained if no control were used?
(b)(i) What is one advantage to keeping the loudness at a constant 60 decibels for all treatments?

(b)(ii) What is one disadvantage to keeping the loudness at a constant 60 decibels for all treatments?

(c) The results of the experiment are shown in the following bar chart.
Based on the results, would you recommend using a sound-emitting device to keep deer from running across highways? Explain your answer.

Answers

Answer: a) The control in the experiment, 0 kHz, or no sound, serves as a baseline against which to compare the other treatments. By using the control with no sound, researchers can determine whether the deer's response to the sound-emitting devices is due to the sound itself or some other factor. Without the control, it would be unclear what caused any differences in the deer's responses to the different sound treatments.

(b)(i) One advantage to keeping the loudness at a constant 60 decibels for all treatments is that it allows researchers to directly compare the deer's responses to the different sound pitches without the added variable of loudness.

(b)(ii) One disadvantage to keeping the loudness at a constant 60 decibels for all treatments is that loudness may also play a role in deer's response. So, it would be unclear if the different in deer's responses are due to sound frequency only or also caused by sound loudness

(c) Based on the results shown in the bar chart, it can be seen that the deer's response to the sound-emitting devices varies depending on the pitch of the sound. At lower pitches, around 0.28 kHz, the deer's response is more likely to be negative or neutral, indicating that they move away from or don't move towards the highway. At higher pitches, around 15 kHz, the deer's response is more likely to be positive, indicating that they move towards the highway. It suggests that the frequency of sound has an impact on the deer's response. So, based on this data, we cannot recommend using a sound-emitting device to keep deer from running across highways without further research on the optimal frequency and loudness that should be used to make sure that it is effective and safe for the deer.

Step-by-step explanation:

Final answer:

The sound-emitting device may have both advantages and disadvantages depending on the pitch. More research is necessary to find the optimal frequency and volume for the device to be effective and safe.

Explanation:

Based on the results of the experiment, it would not be advisable to use a sound-emitting device to prevent deer from running across highways without further research. The experiment showed that the deer's response varied depending on the pitch of the sound. Although the device showed some advantages, such as moving deer away from the highway at lower pitches, it also presented potential disadvantages. At higher pitches, the deer had a tendency to move towards the highway, which could increase the risk of accidents. More research would be needed to determine the optimal frequency and volume to use for the device to be both effective and safe for the deer.

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john and jack divided there math homework.John solved twice as many problems as jack plus 1 more problem how many problems did each boy solve if there are 28 assigned problems?

Answers

Answer:

John: 19

Jack: 9

Step-by-step explanation:

Answer:

Jack = 9

John = 19

Step-by-step explanation:

Let  the  number  that  Jack  solved  =  N

Then John solved  2N +  1

So

N  + 2N +  1  =   28

3N   =  28  -  1

3N  =   27

N =  27  / 3    =  9   =   number Jack solved

2(9) + 1   =  19  =  number John solved

Which graph represents a function?
P

Answers

I think that the graph represents a function and the answer is

which is best represented by the following equation 55x + 75.25 = 680.25

Answers

Answer:

11

Step-by-step explanation:

680.25-75.25=605

605÷55=11

Answer:

11

Step-by-step explanation:

The product of two factors is 2,400. One of the factors is 30. What is the other factor

Answers

Answer:

80

Step-by-step explanation:

2400/30=80.

Answer:

another factor is 80

Step-by-step explanation:

2400 ÷ 30

= 80

What are four names for 3.09

Answers

Answer: Three and Nine Hundreths

3 9/100

309%

Step-by-step explanation:

i only know 3 sorry :(

Answer:

: Three and Nine Hundredths

: 3 9/100

: 309%

: 3 90/1000

Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.

9k/65 = 1316/845
find k and show work

Answers

Answer:

k= 1316/117

Step-by-step explanation:

Answer:

k = 1316/117

Step-by-step explanation:

Solve for kk by simplifying both sides of the equation, then isolating the variable.

Multiply both sides of the equation by 659659.

65/9 x 9k/65 = 65/9 x 1316/845

Simplify both sides of the equation.

Simplify the left side.

k = 65/9 x 1316/845

Simplify the right side.

Now your answer is:

k = 1316/117

Question 9 (5 points)
You are taking out a loan of $15,000 for a new car, and you are given 2 options
Bank A - 7.2% for 3 years
Bank B - 8.1% for 5 years
What is the total interest paid for Bank B (Bank profit)?
$
Blank 1:

Answers

9514 1404 393

Answer:

  $3291.60

Step-by-step explanation:

If the loan is amortized in the usual way, the monthly payment is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years

  A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86

The total of payments is ...

  (60 months) × ($304.86/month) = $18,291.60

Then the profit to the bank is ...

  $18,291.60 -15,000 = $3,291.60 . . . bank profit

Can someone please help me with this algebra

Answers

Answer: d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Letters A, B, D and E represent numbers on the number line. The number line has evenly spaced marks

Question 12 (include your answers for part one and two in the space below)

Part 1. Find the value of |C|

Part 2. Describe where are you would place this value on the number line above and explain why

Answers

Answer:

0.5

Step-by-step explanation:

sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long

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