A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?

Answers

Answer 1

Answer:

The statue is 22ft tall.

Step-by-step explanation:

Here we will have two similar triangle rectangles.

One is made between the girl's feet, the mirror, and the girl's eyes.

So in this case the catheti are:

the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)

The other triangle rectangle has the vertices:

The mirror, the base of the statue, and the top of the statue.

Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).

Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.

Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:

3m = k*12m

And the height of the girl must be k times the height of the statue.

5.5ft = k*X

You can see that we have different units, this does not matter because k is a dimensionless constant.

With the first equation we can find the value of k

3m = k*12m

3m/12m = k

(3/12) = 1/4 = k

Now we can replace this in the other equation to get:

5.5ft = (1/4)*X

Solving this for X we get:

(5.5ft)*4 = X

22ft = X

The height of the statue is 22ft.


Related Questions

Does anyone wanna ta lk? im pretty bo red at the moment

Answers

Answer:

No thanks

Step-by-step explanation:

Answer:

sure what up?

Step-by-step explanation:

Can someone lz hel me with the math.

Answers

Answer:

i think it would be 55

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

90 - 35 = 55

I need help with this​

Answers

Answer:

x3x3zexfvvfxrcybubyx3zrcyn

Find the image of the point under a
dilation centered at (0,0) with the given
scale factor.
(-4,7)
Scale Factor = 0.2
([?], []).

Answers

Answer:-.8,1.4

Step-by-step explanation:Had this question on my exam hope I helped:))

10.A recipe that Kyleigh is making requires 3 pounds of flour. If Kylegh wants to triple the recipe,
how many ounces of flour will be needed?

Answers

Answer:

kayleigh will need 9 pounds of flour

What is the area of the triangle to the left?
80.4 sq. in
72 sq. in
40.2 sq. in
36 sq. in

Answers

You didn’t list a picture of the triangle

Answer:

There is no image

Step-by-step explanation:

(3.6x10^8) divided by (9x10^3)

Answers

Answer:

Step-by-step explanation:

The answer is 40000

Find the value of a from given figure.​

Answers

Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

pls help write a rule to represent the sequence then b find a to 9th -8, -16, -32, ...

help will mean alot to me

Answers

Answer:

x2

Step-by-step explanation:

This sequence starts with -8, and is being multiplied by 2 every term

HELP
what is 3^9 x 3^5?

Answers

4782969 is the answer

Answer:

[tex]3^{14}[/tex] or 4,782,969

Step-by-step explanation:

Note that the base are the same (3). In this case, when you are multiplying, add the powers together:

[tex]3^9 * 3^5 = 3^{9 + 5} = 3^{14}[/tex].

~

B. the sum of
1/5
of m and
2/5
of m

Answers

Answer: 0.6 meters

Step-by-step explanation:

Use SAS to explain why ΔABC ≅ ΔEDC

Answers

Ac=cE
Dc=cB
The angle C is common between two triangles
So ABC=EDC

Which graph does not represent a function

Answers

Answer:

The graph that does not represent a function is;

The first graph of the circle

Step-by-step explanation:

A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range

Therefore, a function maps an input to exactly one output

In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle

In the graph of the circle, we have;

When x = 0 at the origin, y = 0

Similarly

When x = 0 at the maximum point, y = 4

Therefore, the graph of the circle does not represent a function.

Someone help me please show me how you got it to please

Answers

Answer:

See explanation

Step-by-step explanation:

The hypotenuse is the longest side of a triangle.

You could either add a point at (3,2) or (6,9) to make a right triangle and get the same answer, but for the sake of looking at it right-side-up, I'd use (3,2).

Now, you can use the distance vertically (y coordinate) from the top point to the bottom point ( 9 to 2 ) as your first side length. 9-2= 7, so 7 is that side length.

Then, you can use the distance horizontally (x coordinate) from the bottom left point (3,2) to the bottom right point (6,2). 6-3= 3, so 3 is that side length.

Now for the Pythagorean Theorem (a^2 + b^2 =c^2)

7^2 + 3^2 = c^2

49+9=c^2

58=c^2

c= [tex]\sqrt{58\\\\}[/tex] is the distance between points

What is the Volume of the hemisphere ? I will give BRAINLIEST

Answers

Answer:

8579 mm^3

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)(pi)(r)^3, where r is the radius.  

Here the radius is (appears to be) 16 mm.

Thus, the radius of this sphere is V = (4/3)(pi)(16 mm)^3, or 28268 mm^3.

But we want the volume of the hemisphere (half sphere).  Thus,

divide the above result by 2:

The volume of this hemisphere is 8579 mm^3

Answer:

8.582

Step-by-step explanation:

volume of hemisphere is 2 / 3 π r^3

2/3 πr^3

π is 22/7

r is 1.6 mm

2/3 × 22/7 × 1.6^3 = 8.582 to 3 decimal places

100 POINTS
please help !

Answers

Answer:

wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw

Answer:

do it yourself

Step-by-step explanation:

Stop cheating

A parabola can be drawn given a focus of (1, 10) and a directrix of
y = 4. What can be said about the parabola?

Answers

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).

A school principal is trying to decide how long the breaks should be between periods. He plans to time how long it takes several students to get from one classroom to another. Name a tool he could use to collect the data. ​

Answers

he could use a bar graph to plot data

At a fastfood, 28 burgers are being ordered for every 7 customers. The number of burgers being ordered is directly proportional to the number of customers.

What is the constant of proportionality that relates the number of burgers ordered to the number of customers?

1/4
1/7
4
7

Answers

The constant proportionality is 4

8(2x + 3) = PxQ
A. ¿Para cuáles valores de PyQ la ecuación tiene una infinidad de soluciones?
B. ¿Para cuáles valores de PyQ la ecuación no tiene solución?
Recuerda contestar todas las partes de la pregunta en el espacio provisto.​

Answers

Respuesta:

P = 16; Q = 24

P = 0; Q = 0

Explicación paso a paso:

Dada la relación:

8 (2x + 3) = Px + Q

Abra el soporte

16x + 24 = Px + Q

Los valores de P y Q para los que la ecuación tiene infinidad de solución:

Px = 16x

Q = 24

Por tanto, en P = 16; Q = 24, la ecuación tiene infinidad de soluciones.

Valores de P y Q para los que la ecuación no tiene solución:

Px = 0; P = 0

Q = 0

Por tanto, los valores de P y Q para los que la ecuación no tiene solución es 0

Please please ASAP ASAP please ASAP thank you so much I will give brainies no links or files

Answers

Answer:

I got you!

1. B.

2. D.

3. C.

4. E.

5. A.

Step-by-step explanation:

A bag contains 9 marbles: 5 are green, 2 are red, and 2 are blue.

David chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is green and the second
is red? Write your answer as a fraction in simplest form.

Answers

Answer: 5/9 x 2/8. The probability that the first marble is green and the second is red is 13.8%. In fraction form, the answer is 5/9 x 2/8 because the two outcomes must be multiplied. I really hope that helps!

What is the volume of this figure
Plz help guyssss

Answers

i’m sorry i don’t know

PLEASE!!! I need this turned in tonightttt

Answers

Answer:

8 like I'm trying maybe I'll be good at math someday

Step-by-step explanation:

hehe

PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ

Answers

Answer:

find the area of sercomfrance

Step-by-step explanation:

Essay on how to use math outside of school?

Answers

Answer:

Mathematics is everywhere and is used by everyone, even a basic form of it. Some jobs require just simple maths, some require advanced maths. There are many uses of it from business to culinary. Simply counting is doing maths. Retracing back or adding time is doing maths. Mathematics is used to build cars to buildings. It is inevitable that you will be using maths any time now.

There are 86,400, frames of animation in 1 hour of anime. How many frames are there per second? There are 3,600 seconds in 1 hour.

Answers

I believe 18,00000 is your answer

Answer:

24

Step-by-step explanation:

Since there are 3,600 seconds in 1 hour, there are 3,600 times fewer fracmes in a second than in 1 hour.

86,400/3,600 = 24

You decide that you want to make a lighter purple paint. You make the new mixture by adding 1/4​​ cup of white paint for every 1/4​​ cup of red paint and 1/2​​ cup of blue paint. How much red paint, blue paint, and white paint do you use to make 1 1/2​​ gallons of the lighter purple paint?

Answers

Answer:

Cups of white paint = 24 * 1/4 = 6 cups

Cups of red paint = 24 * 1/4 = 6 cups

Cups of blue paint = 24 * 1/2 = 12 cups

Step-by-step explanation:

1/4 cup of white paint is added for every :

1/4 cup of red paint and 1/2 cup of blue paint :

1 gallon = 16 cups

1 1/2 gallons = 16 + 8 = 24 cups

To make 1 cup of lighter purple paint ;

1/4 cup of white + 1/4 cup of red + 1/2 cup of blue

Therefore ;

To make 24 cups of lighter purple paint :

Cups of white paint = 24 * 1/4 = 6 cups

Cups of red paint = 24 * 1/4 = 6 cups

Cups of blue paint = 24 * 1/2 = 12 cups

Ron measured the radius of a quarter to be 11 millimeters. Which expression can he use to
find the circumference of the coin?

Answers

Answer:

2x11xpie

Step-by-step explanation:

Help on this problem please!!

Answers

Answer:

points (8, 0) and (3, 0)

Step-by-step explanation:

Here we're being asked to find the roots of this quadratic equation.

Set f(x) = 3(x² - 11x + 24 = 0.

This factors into f(x) = 3(x - 8)(x - 3) = 0.

Then x - 8 = 0 and x - 3 = 0, yielding x = 8 and x = 3.  These correspond to the points (8, 0) and (3, 0).

Other Questions
which graph shows all the values that satisfy 2/gx +3>45/g In 2018, the attendance at Jefferson School's Fall festival was 240. In 2019, the attendance was 210. What was the percent change in attendance from 2018 to 2019? Round to the nearest whole percent. 1/2 (2n + 6) simply the answer and show work pls answer im desperate pls Which statement about the point (0, 5) is true? Please somebody help me Dean made a triangular wall shelf.The sides of the triangle measure14 inches, 8 inches and 8 inches.Is the shelf a right triangle?Explain. "Just one hour, una hora, is all I'm asking of you, son." My grandfather is in a nursing home in Brooklyn, and my mother wants me to spend some time with him, since the doctors say that he doesn't have too long to go now. I don't have much time left of my summer vacation, and there's a stack of books next to my bed I've got to read if I'm going to get into the AP English class I want. I'm going s in some of my classes, and Mr. Williams, the principal at Central, said that if I passed some reading tests, he'd let me move up."An Hour with Abuelo,"Judith Ortiz CoferWhich inference can you make about the narrators perspective?He is excited to see his grandfather but annoyed that he cannot study.He is eager to start the new school year.He is annoyed at having to visit his grandfather. how will you format date so that dates appear in a format similar to 26-January-2022Its urgent... Please tell fast Place the following events in sequence: A) Russia declares war on Austria;B) Archduke Franz Ferdinand is shot; C) America enters the war a. B, A, Cb. B, C, Ac. A, B, Cd. A,C,B Predict the nature of the indicated covalentbond.polar or non-polar MARKING BRAINLIEST TO FIRST PERSON WHO ANSWERS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Refer to your Expeditions in Reading book for a complete version of this text. Part AHow does the author of Solar Power for Public Buildings conclude that converting all public buildings to solar power will boost Californias economy?by proving that using solar power for energy is cleaner than using natural gas and oilby claiming that the conversion to solar power will improve the quality of life for citizensby describing different branches of science that promote increasing the use of solar powerby listing jobs created by solar and explaining how workers with earnings to spend help businessesQuestion 2Part BWhich evidence from the text best supports the answer to Part A?Workers will have to build solar panels. Truck drivers will have to deliver them. Some technicians will have to install them. Others will have to maintain them. All of these people will earn good wages. And as they spend those wages, theyll support other businesses. That will create a positive economic ripple effect.Power blackouts will be less common. Spikes in electricity prices will disappear. There wont be as many noisy power plants. Fewer ugly oil rigs will dot the landscape. And Californians will be proud that their state is leading the way in protecting the planet.Solar panels do not give off harmful gases. They do not produce toxic chemicals. So pollution levels will drop. Big cities will have less smog. There will be fewer health problems from breathing dirty air. Rivers and streams will also be less contaminated. Drinking water will be cleaner. Wildlife will flourish.For example, solar energy is championed by scientists. More than a dozen professors, engineers, and academics participated in the study cited above. They stated that the main goal of American solar policy should be a massive scale-up of solar generation..." A spinner is divided equally into 4 colors: red, blue, green,and yellow. If the spinner spins 60 times, how many timescan you expect it to land on blue? We have two kinds of rats, dark brown and white rats in a population. In a rain forest scenario, with dark top soil, which kind of rats can survive better, taking into consideration, natural selection?a.White ratb.Both of them will survivec.Brown ratd.Neither what's a coastline in Australia ? help please ! solve for y and simplify the answer find the value of a amd b if: 7+4 root 3 divided by 7-4 root 3=a+b root 3 Identifying Reference InformationWhat information can pharmacy technicians look up in pharmacy references? Check all that apply.a. protocols and storage information for different drugsb. standards for customer-service interactions and salesc. information about drugs and possible substitutionsd. frequently changing pharmacy standardse. none; only the pharmacist can look up reference information Identify the vertex, focus , axis of symmetry and directrix(??+1)2 =8(x-3) Need help on this for brainliest