5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft

Answers

Answer 1

Answer:

18 ft

Step-by-step explanation:

Similar triangles are proportional

Ratio of vertical legs  = Ratio of base legs

x/6 = 12/4

multiply both sides by

x = 12/4 * 6

x = 18 ft


Related Questions

A guitar is originally priced at $80. The online retailer gives a discount and the guitar is now priced at $44. Enter the percentage discount for the cost of the guitar. (PLEASE ANSWER THIS I NEED THE ANSWER BY TODAY RIGHT NOW!!!)

Answers

Answer:

The percentage discount for the cost of the guitar is 45%.

Step-by-step explanation:

First let's find the difference between the original price and the new price.

80 - 44 = 36

So the actual discount got the price down by $36.

To find the percentage discount we need to ask ourselves the question

36 is what percent of 80?

36 = X percent of 80

In math, of means multiply.

36 = X percent * 80

So to get the "X percent" part alone we divide by 80 on both sides.

36 divided by 80 = 0.45

36 is 45 percent of 80.

The percentage discount for the cost of the guitar is 45%.

Create your proportions using the form to represent the flowing problem seven is what percent of 30?

Answers

Answer:

23.33%

Step-by-step explanation:

Let

x = percentage

Base = 30

Amount = 7

x% of 30 = 7

x/100 * 30 = 7

(x*30) / 100 = 7

30x / 100 = 7

Cross product

30x = 100 * 7

30x = 700

x = 700/30

x = 23.333333333333

Approximately,

x = 23.33%

Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:37.68

Step-by-step explanation:

Do yk the anwser to my question?

Please help with this question.

Answers

Answer:

The value of "h" = 32 unit

Step-by-step explanation:

Given:

In given parallelogram

Height for base 36 = 24

Height for base 27 = h

Find:

The value of "h"

Computation:

Area of parallelogram = Base x Height

For base 36

Area of parallelogram = 36 x 24

Area of parallelogram = 864 unit²

For base 27

Area of parallelogram = 27 x h

864 = 27 x h

The value of "h" = 864 / 27

The value of "h" = 32 unit


[tex] \sqrt] a3 - b3[/tex]
what is answer

Answers

Answer:

y=3-b linear function

Step-by-step explanation:


The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above


!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
which expression represents how much money Bennett had left after x months.

Answers

Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

When finding the length of the hypotenuse of a right triangle, why might you approximate the answer? I NEED THIS ASAP I AM TIMED

Answers

Answer:

You would approximate because the hypotenuse might not be a perfect square.

Step-by-step explanation:

FAST PLEASE
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%

Answers

Answer:  B)  4%

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

Explanation:

We'll involve the nCr combination formula here. This is because order doesn't matter.

There are n = 13 diamonds and we want to select exactly r = 3 of them.

So,

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{13} C _{3} = \frac{13!}{3!*(13-3)!}\\\\_{13} C _{3} = \frac{13!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11*10!}{3!*10!}\\\\_{13} C _{3} = \frac{13*12*11}{3!}\\\\_{13} C _{3} = \frac{13*12*11}{3*2*1}\\\\_{13} C _{3} = \frac{1716}{6}\\\\_{13} C _{3} = 286\\\\[/tex]

There are 286 ways to pick the three diamond cards. Then there are 52-13 = 39 ways to pick the fourth card that is either a spade, club of heart.

So we have 286*39 = 11,154 ways to pick the four cards given the conditions your teacher set.

This is out of 52C4 = 270,725 ways to pick four cards (use the nCr formula above with n = 52 and r = 4).

Divide the two values to get the answer:

(11,154)/(270,725) = 0.04120048019208

that rounds to 0.04 which converts to 4%

So there's roughly a 4% chance of getting exactly 3 diamond cards.

Answer:

4% (four percent)

In the diagram below, A ABC DEF
Which sequence of transformations maps A ABC onto A DEF.

Answers

Answer:

basically the opposite

Step-by-step explanation:

its inverted therefore find out how to get c b a and boom

A company produce 6400 text book. The company packed 400 into each carton how many carton did they fill ?

Answers

Answer: 16

Step-by-step explanation: 6400 : 400 = 16

does 3 noncollinear lines always from a triangle?

Answers

Answer:

Three non-co-linear points determine a circle. Three non-co-linear points determine a triangle only if you assume that each pair of these points determines a line which is a side of the triangle. Then, the three points will be the vertices of the triangle.

If you do not have this constraint, so that each line that forms a side of the triangle need pass through only one of the three points, then the three points will not determine a particular triangle

[algebra 2, word problems and expressions] hai! please help!

Answers

Answer:

The first one, f+2g+3t! :)

Step-by-step explanation:

F is worth 1 point so you don't need to add a number, g is worth 2 points, and t is worth 3 points.

Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?

Answers

Answer:

3 yards^2

Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2

Ли делать операцию на сердце тяжело быть звездой матча в чемпионате страны и в этом году я в шоке с тебя в голове не укладывается в голове и в этом случае можно и нужно ли это было так хорошо начиналось все это не ! :)

Pleaseee HELP ASAP !!!

Answers

Your answer is going to be b

Answer:

A: (x-5.5)^2 + (y-4)^2=12.25

Step-by-step explanation:

In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second

Answers

Answer:

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

Step-by-step explanation:

Given:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

Find:

Record speed of Usain Bolt in yards per second

Computation:

Record speed of Usain Bolt = 100 meter in 9.58 second

1 meter = 1.094 yards

100 meter = 1.094 × 100 yards

100 meter = 109.4 yards

Record speed of Usain Bolt in yards per second = 109.4 / 9.58

Record speed of Usain Bolt in yards per second = 11.4196

Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually

Answers

Complete Question

David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?

Answer:

[tex]N_{11} \approx 749[/tex]

Step-by-step explanation:

From the question we are told that:

Number of Fast Food Restaurants [tex]P=200[/tex]

Number of years [tex]t=11yrs[/tex]

Rate [tex]r=12%[/tex]

Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by

 [tex]N(t)=Pe^{rt}[/tex]

Therefore

For t=11

 [tex]N_{11}=200*e^{0.12*11}[/tex]

 [tex]N_{11}=748.7[/tex]

 [tex]N_{11} \approx 749[/tex]

Write 5 5/6 as an improper fraction

Answers

Answer:

the answer is 35/6 hope it helps:)

Answer:

The answer is 35/6

Step-by-step explanation:

Multiply the denominator by the whole number.

5 x 6 = 30

Then add the Numerator.

30 + 5 = 35

Now the answer is 35/6, you don't change the denominator.

what is the larger fraction 5/6 or 8/10​

Answers

Answer:

5/6

Step-by-step explanation:

5/6=0.84, 8/10= 0.8

5/6 is the larger than 8/10

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
15x2

Answers

ANSWER

Step-by-step explanation:

EXAMPLESmonomial:-20ybinomial:-25x+70ytrinomial:-13x+17y+√16Degree of polynomial of 15x^2 is

DEGREE =2

Important: (Worth 50 Points)

The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w2+5w+9, where w is the number of weeks since the amusement park opened for the season.

The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w2+9w+12, where w is the number of weeks since the amusement park opened for the season.

What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?


f(w)=−0.2w2+4w+3

f(w)=−0.2w2+4w−3

f(w)=0.2w2+4w+3

f(w)=0.2w2+14w+3

Answers

Answer:

C. f(w) = 0.2w² + 4w + 3

Step-by-step explanation:

The function f(w) is the difference of c(w) and a(w):

f(w) = c(w) - a(w) = − 0.2w² + 9w + 12 - (- 0.4w² + 5w + 9) =− 0.2w² + 9w + 12 + 0.4w² - 5w - 9 =0.2w² + 4w + 3

Correct choice is C

Multiply using suitable properties: 7219 x (-1005)

Answers

-7255095 is the ans in think so

What is the probability of getting 1 red and then blue?

Answers

Answer:

Find the volume of this prism.

What’s the least number of faces a polyhedron can have? And why?

Answers

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

solve the equation:x²y²–x²–y⁴+y²=0​

Answers

Dude that’s the answer....hellloooo

Solve for x. assume that lines which appear tangent are tangent. x=

Answers

Answer:

x = 8

Step-by-step explanation:

The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.

9(9 + 11) = 10(10 + x)

180 = 100 + 10x

10x = 80

x = 8

Can y’all help me ASAP please?

Answers

Step-by-step explanation:

[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]

f(x) = x² , g(x) = x+1 find gof (2) , fog (2)​

Answers

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= +1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= +2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper. How many different ways could the list be written?

Answers

Answer:

Total number of orders = 77,520

Step-by-step explanation:

Given:

Number of students on team = 20

Number of students on the starting line =9

Find:

Total number of orders

Computation:

Total number of orders = 20! / [20 - 7]!(7!)

Total number of orders = 20! / [13]!(7!)

Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]

Total number of orders = 77,520

The number of different ways that the list can be written will be 167,960.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.

The number of different ways that the list can be written will be

²⁰C₉ = 20! / [(20 - 9)! x 9!]

²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

²⁰C₉ = 167,960

The number of different ways that the list can be written will be 167,960.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.

Answers

Answer:

28.7cm²

Step-by-step explanation:

The sketch of the parallelogram is attached to this response.

As shown in the sketch,

h is the height of the parallelogram

ADC is 125°

AD = 5cm

CD = 7cm

Also

Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;

=> ADC + BCD = 180°

=> 125° + BCD = 180°

=> BCD = 180° - 125°

=> BCD = 55°

The area (A) of a parallelogram is given by;

A = b x h            ----------(i)

Where

b = base of the parallelogram

h = height of the parallelogram

From the sketch,

b = CD = 7cm

h can be found by using the sine trigonometric function as follows

sin BCD = [tex]\frac{h}{BC}[/tex]

=> sin 55° = [tex]\frac{h}{5}[/tex]

=> h = 5 sin 55°

=> h = 5 x 0.8192

=> h = 4.096cm

Now, substitute the values of h and b into equation (i) as follows;

A = 7 x 4.096

A = 28.672

A ≅ 28.7 (to one decimal place)

Therefore, the area of the parallelogram is 28.7cm²

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