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

Help Help!!!
will Give uh brainliest​

Answers

Answer:

First one: A 4 in 12 chance

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The coin was flipped 12 times. Out of the 12, Tashi tagye was gotten 4 times. That will be 4/12. Reducing to the lowest tem will get 1/3

Thomas is going to flip an unfair coin 2 times. Each coin flip is independent, and the probability that the coin flips
heads is 20% each time.

Please tell me the possible outcomes, thank you.

Answers

Answer:

Step-by-step explanation:

The probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are four possible outcomes when flipping an unfair coin twice, since each coin flip has two possible outcomes (heads or tails).

We can use H to represent heads and T to represent tails.

The possible outcomes are:

HH (both flips are heads)

HT (first flip is heads, second flip is tails)

TH (first flip is tails, second flip is heads)

TT (both flips are tails)

Each of these outcomes has a certain probability associated with it.

Since the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

Hence, the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

To learn more on probability click:

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4 bracket 3x minus 2 bracket

Answers

Answer:

4[3x-2]

Step-by-step explanation: 12x-8

Hope this helped out

How would i do this??:: Some kinds of fruit juice are only 10% juice. Other brands are 40% juice how much of each kind of juice should be mixed together to form 5 gallons of punch which is 25% juice?

Answers

Answer:

You should mix

2.5 gallons of the first juice with

2.5 gallons of the second juice

Step-by-step explanation:

Step one

Let the first kind of juice be x

Let the second be y

Given x contain 10% juice

and y contains 40% juice

So for the percentage constituent concentration of each the expression is

0.1x+ 0.4y=0.25(5)

0.1x+0.4y=1.25—----------------1

Step two

Also for the volume of the mixture, we are working with 5 gallons hence the expression

x+y=5-------------------------------2

The system of equation for the situation is

0.1x+0.4y=1.25------1

x+y=5-------------------2

From equation 2

x=5-y

Put x=5-y in the equation

0.1(5-y) +0.4y=1.25------1

0.5-0.1y+0.4y=1.25

0.3y=1.25-0.5

0.3y=0.75

Dividing both sides by 0. 3

y=0.75/0.3

y=2.5

x=5-y

x=5-2.5

x=2.5

The mixture should consist of

2.5 gallons of the first juice with

2.5 gallons of the second juice

Marshall is writing an equivalent equation to solve for x. What should be his next step? 5 x + 4 y = 8. 5 x + 4 y minus 4 y = 8 minus 4 y. 5 x = 8 minus 4 y.

Answers

Answer:

d)Divide both sides of the equation by 5.

Step-by-step explanation:

Marshall is writing an equivalent equation to solve for x. What should be his next step?

5x+4y=8

5x+4y-4y=8-4y

5x=8-4y

a)Add 5x to both sides of the equation.

b)Subtract 5x from both sides of the equation.

c)Multiply both sides of the equation by 5.

d)Divide both sides of the equation by 5.

5x + 4y = 8

Subtract 4y from both sides

5x + 4y - 4y = 8 - 4y

5x = 8- 4y

Divide both sides by 5

5x / 5 = (8 - 4y) / 5

x = (8 - 4y) / 5

Marshall's next step should be to divide both sides of the equation by 5

Answer: D)Divide both sides of the equation by 5.

Step-by-step explanation:

got it right edge 2021

My school is giving me a 1-day break for Thanksgiving and I'm very sad, I wanted at least 2-3 days.

Answers

Answer: If your school is only giving you a day off take memories that one day.

Step-by-step explanation: I'm also very sorry that you didn't get 2-3 days off. I get 2 days off and then the weekend.

Can I get brainlest please?! Also have a great day! (Everyday)

Answer:

i feel the same way :>

Step-by-step explanation:

but what you can do is try to enjoy the day as much as you can!!  :)

Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.

Answers

Answer:

96/45

Step-by-step explanation:

56

847748

38303[

if BD and EG are parallel lines and m∠DCF = 125°, what is m∠DCA

Answers

Answer:

55

Step-by-step explanation:

FCA equals 180 degrees so you subtract 180 from 125 and get 55 degrees.

Answer:

55

Step-by-step explanation:

Just subtract 180 and 125

You said that m∠DCF = 125° right?

And the m∠DCF and m∠DCA are linear pair because they have angles that share a side, so supplementary angles = 180

m∠DCF + m∠DCA = 180

replace (since m∠DCF = 125):

125 + m∠DCA = 180

-125                           -125

m∠DCA = 180 - 125

m∠DCA = 55

just need 5 and 6 done due in 20 minutes plz help​

Answers

Step-by-step explanation:

5. Let the equation of the line be y = mx + c

m = (6-15)/(2-(-1)) = -3

sub (2, 6) and m = -3:

6 = -3(2) + c

c = 12

Equation of the line: y = -3x + 12

6. Let the equation of the line be y = mx + c

y-intercept of 7 means c = 7

y = mx + 7

x-intercept: value of x when y = 0

therefore, sub (4, 0):

0 = m(4) + 7

m = -7/4

Equation of the line: y = -7/4x + 7

this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)

which expression can be an integer when simplified? i will give so many points and brainliest plz answer!
a.6^-3/6^-1
B. 12^-2/12^2
C. 2^-10 x 2^3
D. 4^7 X 4^-2

Answers

Answer:

D

Step-by-step explanation:

when simplify 4^7, using a calculator, you get 16384. When you simplify 4^-2 , you get 0.0625. When multiplied together, the total is 1024, which is an integer. Answer a, b, and c were not integers, because when multiplied or divided, the answer was less than zero and showed up as a decimal starting with 0.*** . An integer is defined as any whole number, and not a fraction, therefor D is the only correct answer.

Answer:

D fs

Step-by-step explanation:

The first three terms of an arithmetic sequence are as follows.
-10, -4, 2
Find the next two terms of this sequence.
-10,- 4, 2, 0.0
Х
?

Answers

Answer: the awnswer is 3 i think hope you pass

Step-by-step explanation:

solve this you get all my points and brainlyest

Answers

Answer:

c

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher? *

Answers

13 glasses can be poured

Hope I helped

Answer:

13

Step-by-step explanation:

number of glasses = total quantity of water / quantity of one cup

n = 5.2/0.4

n = 52/4 (multiply numerator and denominator with 10)

n = 13

therefore it can be poured into 13 cups

Write an equation that could be used to find three consecutive odd integers whose sum is -3

Answers

Answer:

          2x+1 + 2x+3 + 2x+5 = -3

Step-by-step explanation:

2x+1       - the first odd integer

2 x+1 + 2 = 2x+3   - the next odd integer consecutive to 2x+1

2x+3+2 = 2x+5 - the odd integer consecutive to 2x+3 (the third consecutive odd integer)

2x+1 + 2x+3 + 2x+5  - the sum of three consecutive odd integers

therefore the equation:

                                     2x+1 + 2x+3 + 2x+5 = -3

6x + 9 = -3

6x = -12

x = -2

2x+1=2(-2)+1=-3

2x+3=2(-2)+3=-1

2x+5=2(-2)+5=1

the three consecutive odd integers whose sum is -3 are: -3,-1,1

how do I find the factor of the trinomial
x²+x-20​

Answers

Answer:

(x+5)(x-4)

Step-by-step explanation:

Answer:

(X-4) (X+5)

Step-by-step explanation:

look for 2 numbers that multiply to be -20 and adds up to be 1 which ould be -4 and 5

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?

Answers

Answer:

Answer is 36,220

Step-by-step explanation:

What is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.

Answers

Answer:

11/5

Step-by-step explanation:

-4 - 7 = -11

-2 - 3 = -5

11/5

Answer:

B. 11/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (3, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7+4}{3+2}[/tex]Add:                              [tex]m=\frac{11}{5}[/tex]

The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?

Answers

Answer:

Step-by-step explanation:

REF: 060309a

ANS:

(9,−2)

(x,y)-->(x+5,y-4)

Transformation involves changing the position of a point.

The image of the translation is (9,-2).

The point is given as:

[tex]\mathbf{A= (-2,3)}[/tex]

The image of the point is:

[tex]\mathbf{A'= (3,-1)}[/tex]

The translation rule is calculated as:

[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]

[tex]\mathbf{T = <x + 5,y-4>}[/tex]

So, the image of (4,2) is:

[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]

[tex]\mathbf{Image = (9, -2)}[/tex]

Hence, the image of the translation is (9,-2).

Read more about translation at:

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David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an equation in y = max + form that represents the value remaining in his account after x visits

Answers

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

All Common multiples between 2 and 9

Answers

Answer:

18, 36, 54, 72, 90...

Step-by-step explanation:

A dog walker earns $10 plus $3 per dog. What equation represents this model?

Answers

10+3x Or 3x+10.
This is because he gets 10 dollars add it to the 3 he gets per dog. The per dog is X as you don’t know how many dogs he gets

Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.

Answers

Answer:

Zeke had a 2.17% margin of error in his estimation.

Step-by-step explanation:

To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:

2/92 = X/100

This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.

Cross-multiply your numbers:

(2)(100) = 92X

200 = 92X

X = 2.1739

Then, once you round it, your answer would be X = 2.17.

Choose a system of equations with the same solution as the following system:
4x − 2y = 6
2x + y = 5

A) −4x − 2y = 10
2x − 3y = 21

B) 4x + 2y = 10
10x + y = 21

C) −4x − 5y = −1
2x − 6y = 10

D) 3x + 2y = 6
9x + y = 17

Answers

Answer:

The answer is C.

Answer:

the answer is C

Step-by-step explanation:

I took the test

what does -4(2x+9) equal

Answers

Answer:

-8x-36

Step-by-step explanation:

-4(2x+9)

distribute: -4(2x+9)= -8x-36

-8x-36 HOPE THIS HELPSSSSSSSSS

Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?


plesa heap

Answers

Answer:

It would take either 13 hours, or there is not enough informatino to solve this problem.

Answer:

It would take them 13 hours to work together on the job.

Step-by-step explanation:

Just add 5 hours + 8 hours.

What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.

Answers

Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.

Step-by-step explanation:  I know math just trust me i am a sraight A student.

Not long after he begins to study algebra he will likely meet with the "tank" problems, the "labor" problems and many other puzzle problems. He finds these problems carefully phrased in the language of practical mathematics. However, a study of the original problems and the fanciful way in which they were stated will reveal the fact that they were originally intended mostly for puzzles. The present-day student of algebra would doubtless work as industriously over the so-called practical problems if he were told they were puzzle problems that his predecessors had worked on for the past 1600 years.

The problems given below are selected from a collection made by Metrodorus about 310 A. D. found in The Greek Anthology. It is not known how much farther back they date. It will not be difficult for the reader to trace many of the problems found in the present-day algebras back to their original source. He may judge for himself as to whether the modern text-book writer has improved the problems by leaving off the little fanciful touches of rhetoric, found in the original.

The original problems were solved by rhetorical algebra as our symbols, +, -, ×, ÷, etc., were introduced many centuries later, about 1540.

Answers

Answer:

wow thats some good information there!

Step-by-step explanation:

Solve for C p=b+c/5 I need help

Answers

Answer:

Step-by-step explanation:

p =  b + c/5                     Subtract b from both sides

p - b = c/5                       Put brackets around the left side

(p - b) = c/5                     Multiply by 5

5(p - b) = c

Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?

Answers

Answer:

16 ft^2

Step-by-step explanation:

If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.

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Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:a. What is the expected value of the sample mean of their weights?b. What is the standard deviation of the sampling distribution of the sample mean weight?c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit? Three points on the function are (-1, 1) (0,3) and blank Simplify the radical 75 and explain how you got the answer :) please! Answer this please i will help in anyway and give brainliest! ____cells need a way to____ and____ their own process and functionsPlease my grades are being checked today!! 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