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

Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla made a total of $595 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.

Answers

Let t = the number of tacos sold
Let b = the number of burritos sold
3t + 7.25b = 595
B=2t

Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!

Answers

Answer:

B

Step-by-step explanation:

I don't have an explanation but i know its right!!!

PLEASE HELP!!!!

Robert is baking desserts for a picnic. He needs to make at least 20 servings of dessert for the
event. For every batch of brownies he bakes, he will get 8 servings, and every pie will
yield 14 servings.

Answers

Answer:

x*8 + y*14 ≥ 20

Step-by-step explanation:

We know that:

A batch of brownies makes 8 servings.

A pie makes 14 servings.

He wants to make, at least, 20 servings.

Then if he makes x batches of brownies, he will get x times 8 servings.

If he makes y pies, he will get y times 14 servings.

Adding that, he will get a total of:

x*8 + y*14 servings

And because he wants to make at least 20 servings (he can make 20 or more)

The inequality will be:

x*8 + y*14 ≥ 20

Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right

A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).


The diameter of the sphere is ___ inches.

Answers

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

Find the are of the blue shaded region.

XTRA POINTS!!!

Plus brainliest!!!

No links or anything i will report you!!!!!
PLZ!!!!

Answers

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43   (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Sum of 23 and y please help

Answers

Answer:

I think it’s -5

6. If f(x) = -2r2 + x-5, what is f(3)?

Answers

Answer:

Step-by-step explanation:

the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x​

Answers

Answer:

it is 8.65

Step-by-step explanation:

it just is but if it is wrong sorry been a while since i done this

Answer:

x=1.5

Step-by-step explanation:

A. 34
B. 55
C. 65
D. 145

Answers

answer is A, because of the alternate interior angles theorem

What is the measure of angle Q?

Answers

Answer:

hi

Step-by-step explanation:

x⁰+(x+90)⁰+(x-18)⁰=180⁰

3x+72=180

3x=180-72

3x=108

x=36

Q is equal to x+90=36+90=126

For cheking answer:

R is 36

Q is 126

P is 18

36⁰+126⁰+18⁰=180⁰

hope it helps

have a nice day

Answer:

[tex]x=96[/tex]

Step-by-step explanation:

[tex]360=x+\left(x+90\right)+\left(x-18\right)[/tex]

Step 1: Simplify both sides of the equation.

[tex]360=x+x+90+x-18[/tex]

[tex]360=(x+x+x)+(90+-18)[/tex] (Combine Like Terms)

[tex]360=3x+72[/tex]

Step 2: Flip the equation.

[tex]3x+72=360[/tex]

Step 3: Subtract 72 from both sides.

[tex]3x+72-72=360-72[/tex]

[tex]3x=288[/tex]

Step 4: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{28}{3}[/tex]

[tex]x=96[/tex]

Hope this helped! :)

Pls? Help? No links pls lol

Answers

(2, -3) is the answer

Correct Answer Gets Brainleist + 15 points. (Please Help..)

Answers

Answer:

You need to divide by the cost of children and adults by their per cost to total

What is the product (3x10^9) x (2x10^17) in scientific notation

Answers

Answer:

6·10^26

Step-by-step explanation:

Multiply together the coefficients 3 and 2, obtaining 6.  We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer

6·10^26

Answer:

6•10^26 is the answer.

I feel like everyone on this app has just given up, because no one has been helping me with any of my math stuff. And it's just like a ghost town here​

Answers

Answer:

i see how you feel but ._. i just aint good at math shawty

Step-by-step explanation:

a box in the shape of a triangular prism is shown below. what is the surface area of the box.
a. 94in
b.96in
c.98in
d.100in

Answers

Answer:

I' m not sure if I'm right but i think the answer is

surface area

A≈85.29

is ib in canada hard?

Answers

Answer:

yes because Canada is american country

yes it is. i’ve been there and its not fun

Which is not an example of intersecting lines?
No Web Sites!

A . Graph Paper

B. A piece of copy paper

C. a woven basket

D. A street with a four way stop at corner.

Answers

Answer:

B. A piece of copy paper.

what is 3 2/4 as a whole number​

Answers

Answer:

4

Step-by-step explanation:

3 2/4 = 3.5

If rounded up,

3.5 ≈ 4 as a whole number

A cab company charges $0.70 per cab ride, plus an additional $1 per mile driven. If a cab ride is 40.55 miles long, how much will it cost?

Answers

Answer:

41.25

Step-by-step explanation:

0.70 + 1 (40.55) = 41.25

what expression is equivalent to -3(6x+7)+4(7x+2)

Answers

Answer:

10x-13

Step-by-step explanation:

First Distribute:

-18x-21+28x+8

Then combine like terms:

10x-13

Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.

Answers

Answer:

2560 J

Step-by-step explanation:

mv^2/2

80(8)^2/2

2560 J

Compare investing $1500 at 9% compounded monthly for 11 years with investing $1500 at 14% compounded monthly for 11 years.

Answers

Answer:

Final amount after 11 years = $4021.97

Step-by-step explanation:

We will use the formula to get the final amount after t years,

Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]

here a = Initial amount

r = Rate of interest

n = Number of compounding in a year

For Initial amount 'a' = $1500

r = 9%

t = 11 years

n = 12 [Compounded monthly]

F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]

  = $4021.97

PLEASE I need help!!!!

Answers

Answer:

a. 40 ft²

b. 21 ft²

c. 61 ft²

Step-by-step explanation:

Rectangle area formula: l * w

Triangle area formula: 1/2(bh)

10 * 4

40 ft² for the rectangle

1/2(7 * 6)

1/2(42)

21 ft² for the triangle

40 + 21

61 ft² in total (both the rectangle & the triangle)

Solve the equation. 6x−7=2x+13

Answers

Answer:

6x - 7 = 2x + 13

6x - 2x = 13 + 7

4x = 20

x = 20/4

x = 5

Hope it helps!

X=5 that’s the answer

Which equation shows y = (x − 4) 2 − 3 written in standard form?

Answers

Answer:

2x-y=11 is the standard form

Step-by-step explanation:

WHAT IS 1+1 pls help

Answers

Answer:

2.0

Step-by-step explanation:

Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60
per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at
the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount.
b) Determine algebraically and state in how many months the two boys will owe the same amount. State the
amount they will owe at this time.
c) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and
state if Ian is correct. Explain your reasoning.

Answers

A = 10 months

B = First part, the two equations:

Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.

Ken: y = 600 - 20x.

They will be equal at 1000 - 60x = 600 - 20x

Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!

1000 - 60x = 600 - 20x

1000 = 600 + 40x

400 = 40x

x = 10 months

y = 600 - 20(10) = 600 - 200 = $400 still owed.

C =

Solve Ian's equation for y = 0, when no money is owed.

1000 - 60x = 0

1000 = 60x

x = 16.66666.... or 17 months.

Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.

Alternatively, six months after 10 is 16 months,

and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.

The table shows information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?​

Answers

Answer:

54

Step-by-step explanation:

80 Customers divide that by 2 =40

36÷2= 18

So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.

Basically just find how many clubs are bought in 40 customers then multiple it by 3

can someone help me with this

Answers

Answer:

13

Step-by-step explanation:

To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.

You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined ​

Answers

Answer:

A. the $5 off coupon

Step-by-step explanation:

10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more

The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.

Which coupon should I use?

Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.

Coupon 1 : 10% x 29.9 = $3

Coupon 2 : 29.90 - $5 = $24.90

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

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