A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka's shadow. Include all labels.

Answers

Answer 1

Answer:

8 meters

Step-by-step explanation:

This is a question that deals with Proportion

Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke

Length of the shadow of Luke = x

= 12/24 = 4/x

We cross Multiply

12 × x = 24 × 4

x = 24 × 4/12

x = 8 meters

Hence, the length of the shadow of Luke = 8 meters


Related Questions

Which expression is represented by the diagram?

10 negative tiles. 4 are crossed out.

Answers

Answer:

6 tiles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test ;)

Hi I need help can you guys look at the screenshots thanks if the answer is correct I will give Brainliest if the answer is correct.

Answers

Answer:

D. -60 + (-30) = -30

Step-by-step explanation:

Put the word problem into an equation: -60 + (-30) = -30

I hope this helped, please mark Brainliest, thank you so much!!

The answer is C= -60+30=-30

what cannot be rational??

Answers

Answer:

the 4th one

Step-by-step explanation:

The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)

Answers

Answer:

There's two answers.

-5, -4, and -3

3, 4, 5

Step-by-step explanation:

[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]

Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]

Answers

Answer:

[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]

[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?

Answers

Answer:

Step-by-step explanation:

Oops I meant "there are 3! = 6 ways to permute ABTS that have TS."

There are 12 different combinations to display marvel that doesn't involve Steelie and the tiger.

What are permutation and combination?

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

Given, Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf but does not want to put the Steelie and the Tiger next to one another.

We want the number of ways to permute the string ABST that has S and T separated.

Total ways of displaying marbles = 4! = 24

If S and T are together, then the permutation contains the consecutive pair ST or TS somewhere. We can count these possibilities by regarding ST or TS as a single symbol

permutation of getting them together = 2 * 3!

permutation of getting them together = 12

Thus,

total desired combination = Steelie and tiger do not come together

total desired combination = 24 - 12 = 12

therefore, There are 12 possible combinations of displaying marvel without making Steelie and tiger together.

Learn more about Permutation and combination here:

https://brainly.com/question/15268220

#SPJ2

Make a table of values and graph the solutions of the given equation.
y= 2x + 1
Find y when x=1

Answers

Answer: 3
Because X=1
2x1=2
2+1=3

which point satisfies the system of equations y = 3x - 2 and y = -2x + 3
1. A
2. B
3. C
4. D

Answers

Answer:

D

Step-by-step explanation:

if you need help with Math:)

Answers

Answer:

Thanks!

Step-by-step explanation:

I already have it on my phone tho lol

3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;

Answers

Answer:

The correct options are presented as follows;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent

Step-by-step explanation:

The coordinate of the preimage point A = (-2, 1)

The coordinate of the image point A' = (2, 1)

Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)

Which is equivalent to a reflection across the y-axis

Similarly, we have;

The coordinate of the preimage point A' = (2, 1)

The coordinate of the image point A'' = (-1, 2)

Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)

Similar for points B and B', C and C'

Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent

Therefore, we have;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.

PLZ HELP! WILL MARK BRAINLIEST!! The graphs of linear functions f and g are shown on the graph. Which function is best represented by the graph of g?
A. g(x) =f(x)-4
B. g(x) = 1/3 f(x)
C. g(x) = f(x)-2
D. g(x)=3f(x)

Answers

Answer:

B

Step-by-step explanation:

f(x)=x (slope is 1, y-intercept is zero)

g(x) = (1/3)x (slope is (1/3), y-intercept is zero)

(1/3)x = (1/3)f(x)

Answer:

B

Step-by-step explanation:

as u notice the slop of f function is higher than g function so g(x) is approximately one third of function f and there are no shifts in g(×) so no need for sum of subtract .

Q1)Complete the table of values of y=6/x

Q2)Which of A,B or C is the correct curve for y=6/x


I will give brainliest!!! Help pleaze​

Answers

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more than John, how much money does John have? Write a function rule (equation) that represents the situation.

Answers

Answer:

John has $23.5

Step-by-step explanation:

Step one:

we are told that their joint amount is $62

let John's amount be x

and Pedro's amount be y

so that y=x+15

Step two:

The equation to represent the situation is

62=x+(x+15)

open the bracket and solve for x we have

62=x+x+15

62=2x+15

2x=62-15

2x=47

divide both sides by 2

x=47/2

x=23.5

John has $23.5

One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many will most likely spend 5 hours at the gym this week?

Answers

Answer: 50

Step-by-step explanation:

From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.

Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:

= 1/3 × 150

= 50 people

Which is the correct decimal representation of 13/40

Answers

Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

-2x-5=4 solve for x and please tell me how you got it

Answers

Answer:

x = -9/2  or -4.5

Step-by-step explanation:

-2x-5=4

Add 5 to each side

-2x-5+5=4+5

-2x = 9

Divide each side by -2

-2x/-2 = 9/-2

x = -9/2  or -4.5

PLEASE HELP WITH GEOMETRY

Answers

Answer:

acute triangle

Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.

Function g is represented by the graph. For what input value or values is g (x) = 4?

Answers

Answer:

-2 and 2

Step-by-step explanation:

When you look at the graph, you see that the line is in a U shape. We are trying to see what the value of g(x)=4. Since g is represented by the graph, the equation equals 4. The 4 in the equation is positive so you would look at the graph for a positive 4. There are 2 positive 4's on the graph; one on the x axis and one on the y axis. If you look at the U-shaped line, you see that it passes the 4 on the y axis. (the point -2,4 has the 4 as y and the point 2,4 has 4 as y). This makes the answer -2 and 2 because both the numbers have 4 as the y when you put them as points.

(8+t)^3-6

t=2

(3 is an exponent)

The value is:

Answers

Answer:

994

Step-by-step explanation:

PEMDAS

Parentheses: 8+2 = 10

Exponents: 10^3 = 1000

Subtraction = 1000-6

= 994

This is the last one, can u help me

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) SAS

Step-by-step explanation:

The side is marked equal, they are both 90 degrees and they share a side. Side Angle Side.

What is the area of the following trapezoid 210 280 420 140

Answers

Answer:

Step-by-step explanation:

A=  a+b/2 h (area = a +b over 2 times H) plug in your numbers

I dont have a picture, if i did i could solve it, but here is the formula

     

please help I will mark you brainalist ​

Answers

Answer:

EASY. y = 4/7x+3

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(6, 4)(9,9)

Answers

7.5, 6.5 also try searching midpoint formula with what u have it’s pretty basic math

Find the value of 4x2 – 2y when x = 3 and y = 2.

Answers

Answer:20

Step-by-step explanation:

4(3)2-2(2)

12(2)-4

24-4=20

if two people were to go to the movies and share the cost of what they paid. how much would they both pay? $2 for snacks $13 for the tickets. p.s. it could be a decimal of fraction ig​

Answers

Answer: $7.50

Step-by-step explanation: they spent 15 n if they split that it’s 7.50

PLEASE I NEED HELP ASAP. WILL GIVE BRAINLIEST.

A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0), and the park at (16, 11). Using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?

components: (16,11), distance: 19.42 yards O components: (16,11), distance: 194 16 yards O components: (120,110), distance: 19.42 yards O components: (160,10), distance: 194.16 yards​

Answers

Answer:

components: LeftAngleBracket 16, 11 RightAngleBracket distance: 194.16 yards

Step-by-step explanation:

get her done!!! Correct on Edge 2020

The vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards. So, option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

In order to find the length of a point to another point that has different y and x points, we will use the pythagorean theorem

(a^2 + b^2 = c^2)

Here, 16 and 11 are the distances from her house,

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

Now, we have to convert this to yards;

19.416 x 10 = 194.16 yards

Hence, the vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards.

So, option A is correct.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

What is the equation of a line that passes through the point (−2, 5) and has a slope of zero

Answers

Answer:

y= -2/5x

Step-by-step explanation:

A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?

Answers

Answer:

210

Step-by-step explanation:

Percentage Calculator

The value of the phone after 2 years will be equal to $388.8.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.

Given that the cell phone costs $750 and loses 28% of its value each year. The value of the phone after 2 years will be,

The value of the phone after 2 years will be calculated as,

Cost of phone = 750 x ( 0.28 )²

Cost of the phone = $388.8

To know more about an expression follow

https://brainly.com/question/21538545

#SPJ2

Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?

Answers

Answer:

207

Step-by-step explanation:

9ft=3yrds

3x69=207

47 multiplied by 6 is?

Answers

Answer:

282

Step-by-step explanation:

47*6=282

Forty seven six times.

Other Questions
An unbalanced 16.0N force is applied to a2.0kg mass. What is the acceleration of the mass? Lena had a very bad evening yesterday. complete her description with the verbs in parenthesis and the pasdr compose.1. il (falloir) attrendelre pour avoid une table 2. mous (boire) du tres mauvais Cafe3. je (ne pas comprendre) la conversation 4. Maxime (etre) desagreable avec le serveur 5 ensuite, on (prendre) le mauvais train pour rentrer 6. il (pleuvoir) en chemin (on the way ) a la maison 1. True or False? Climate Change refers to major and long-term changes in the average state;temperature, precipitation, wind patterns, etc. of the Earth's climate. Which of the following is a biotic factor?A) SunflowerB) Carbon dioxide) SoilD) Sunlight What percentage of the guesst at this hotel called for room service yesterday? The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x? North Dakota Electric Company estimates its demand trend line (in millions of kilowatt hours) to be: D = 80.0 + 0.45Q, where Q refers to the sequential quarter number and Q = 1 for winter of Year 1. In addition, the multiplicative seasonal factors are as follows: Quarter Factor (Index) Winter 0.72 Spring 1.25 Summer 1.40 Fall 0.63 In year 26 (quarters 101-104), the energy use for each of the quarters beginning with winter is (round your response to one decimal place):_______ Hello everyoneI have an exercise thinks for helpingExercise 3 Fill in the blanks with appropriate words from the glossary. a. Nada is considered a student by her teachers; she does all arithmetic operations without using any calculator. b. Many NGOs have been actively involved in educational programs to increase adult .. c. A good way of assessing students development is to have a look at their.. d. As our family used to live in the countryside, I had to go to a .. e. Primary education in Morocco is parents must send their children to school. f. Our government signed a ..with many NGOs to work together to combat illiteracy. gis gaining ground over classical learning as more and more technology is used in education. h. More efforts should be made to encourage to return to school. what is the definition of a lacking nervous system a. {[(-15+5)2+8]-328}-(-7) b. (5-2)2+[-4+(-7)](-2+4)c. {-10-[12+(-3)] + 3}+3}(-3) I'll mark you brainliest if you solve these with explanation On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg? PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS What is the factor to this as a expression? I NEED THIS ANSWER I DONT UNDERSTAND PLEASE HELP Fill in the blanks with the appropriate forms of the verb decir. (Digo/dices/dice/decimos/des/dicen) < Use these1. Mis hermanos _ que t eres muy bonita2. T _ que tu mam no est?3. Juan y yo siempre _ la verdad.4. Ella _ las respuestas.5. Cmo se _ "books" en espaol?6. Pablo y Ana _ que van al cine. 7. Mi madre _ que no.8. Usted _ que tenemos un examen hoy. The total number of students enrolled at Twin Rivers Middle School is 2,000students. If the ratio of boys to girls is also 3 to 2 for the school, how many studentsare boys and how many students are girls at Twin Rivers Middle school? The West(Describe facts and details about the West that make it different or unique.)(Name of a cultural landmark in the West.)(Explain why this landmark is important to the West.)Please Help I will give brainliest!!! plz help what is 6 x 18 plz show work thank You are going on a hike with 3 other people. You decide to divide the bottles of water evenly among the group. Write an expression to find the number of bottles each person will carry. Find the total number of bottles each person will carry if there are 16 bottles. The supply curve for steel is 90xy=50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.