A person is standing 24 feet away from a street light that is 25 feet tall. How tall is he if his shadow is 6 feet long?

Answers

Answer 1

Answer:

Step-by-step explanation:

The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.

H/25=6/36

H=5

Answer 2

The person is 5 feet tall when his shadow is 6 feet long.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A person is standing 24 feet away from a street light that is 25 feet tall.

let the height of person be x when its height of shadow is 6 feet.

Using Proportion

x/ 6 = 25 / 30

30x =150

x= 150/ 30

x= 5 feet

Hence, the height of the person is 5 feet.

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ2


Related Questions

37. Construct Arguments Luis and Raul are
riding their bicycles to the beach from their
respective homes. Luis proposes that they leave
their respective homes at the same time and
plan to arrive at the beach at the same time.
The diagram shows Luis's position at two points
during his ride to the beach.
Write an equation in slope-intercept form
to represent Luis's ride from his house to the
beach. If Raul lives 5 miles closer to the beach
than Luis, at what speed must Raul ride for the
plan to work?

Answers

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

y = - 7.5x + 15 4 miles per hour

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

Using the general form :

y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

The expression in slope intercept form becomes ;

y = -7.5x + 15

If Raul lives 5 miles closer to the beach ;

Time it will take Luis to get to the beach :

Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :https://brainly.com/question/18405415

Suppose y varies directly as x, if y = 15 when x = 12, find x when y = 21.

Answers

Answer: x = 26

                    1

                     -

                     4

Answer:

16.8

Step-by-step explanation:

we have to do  Unitary method.

when y=15 then x=12

when y=1 the x=12/15

when y=21 then x=(12*21)/15

x=16.8

6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?

Answers

You might miss out on things you would want to buy .

Convert 47/16 to a decimal using long division.

Answers

2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

A person walked 19km in 2.0 hr. What is the person’s average velocity in km/he and in m/sec?

Answers

Answer:

9.5km/hr and 16.667m/s

Step-by-step explanation:

velocity = Distance / Time

v = 19/2  -->  v = 9.5km/hr

v = 2000m/120s --> v = 16.66666667m/s

PLEASE HELP!!

Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is the most popular. Today, he surveyed
every third female customer on their favorite milkshake flavor. Eighteen customers
(out of 60 total) were surveyed, and 7 customers
prefer MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer BananaBoBanna.
What type of sampling is demonstrated in the situation above?

A. census

B. random sampling

C. negative sampling

D.convenience sampling

Answers

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

Answer:  B random sampling .

Step-by-step explanation:

112°
?
find the measure of each angle indicated. the angle is supplementary.

Answers

Answer:

68

Step-by-step explanation:

Can someone help in this math question?

Answers

Answer:

3168 cubic feet OR 3168ft^3

Step-by-step explanation:

22×18×8=3168ft^3

Helppppppp!!!!!!!!!!

Answers

Answer:

c and d are monomial because they have only one term

Find the next three terms of the arithmetic sequence.

10, 13, 16, 19, . . .

Question 9 options:

a)

16, 13, 10


b)

17, 20, 23


c)

22, 25, 28


d)

23, 26, 29

Answers

Answer:

c

Step-by-step explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c

Only an answer please please

Answers

Answer: 41

Step-by-step explanation: r= 3c+ 5

3 (12) +5     36+5= 41

Answer:

B 35

Step-by-step explanation:

the value goes up by six in each box

For each Given function value, write a corresponding ordered pair

f(3)=6

g(0)=-1/2

Please Explain

Answers

Answer:

(3, 6)

(0, -1/2)

Step-by-step explanation:

in a function like f(x)

The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function

_____

f(3) = 6 means when the function f is at x = 3, the function, f = 6.

so it would be (3, 6)

g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.

so it would be (0, -1/2)

estimate 1.75 * 12.5

Answers

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

13. A bakery is having a buy 4, get 1 free sale on cakes. This sale is eguivalent to what percentage off the regular price of all 5 cakes? A. 196 B. 10%% C. 20 D. 25%6 E. 40%​

Answers

Answer: 20

Step-by-step explanation:

Suppose Felipe has 9.24 pounds of seed if it takes 6.6 pounds of seed to plant on acre of grass how many acres of grass can be planted?

Answers

Answer:

1.4 acres of grass can be planted.

Step-by-step explanation:

He has 9.24 pounds of seeds.

If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.

9.24 lbs × [tex]\frac{1acre}{6.6 lbs}[/tex] = 1.4 acres

STEP BY STEP what is 8-11

Answers

Answer:

-3

Step-by-step explanation:

You might find it easier to write -(11 - 8), which is -(3), or -3.

Answer:

8-11

Infront of 8 there will be+

so +8-11

- + = - so 8-11=-3

-3 is the answer of 8-11

Sarah's Volleyball team won 12 out of 14 games if this rate continues, how many games will they win if they play a total of 21 games

Answers

Answer:

18 games

Step-by-step explanation:

If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.

If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.

8. There are 3 cows for every 4 chickens on a farm. If there are 154
animals, how many are cows?

Pls help me

Answers

Answer:

12 po

Step-by-step explanation:

I try my best I don't know if right

Which of the following represents the equation of a line that is parallel to 2y-x=16 and passes through the
point (-6, 1)?

Answers

The correct equation would be Y=1/2x+4 :)

This is true because both equations have the same slope therefore they are parallel and the equation above also includes point (-6,1).

The equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex] and this can be determined by using the slope-intercept form of the line.

Given :

Line Equation -- 2y - x = 16Point  --  (-6,1)

First, convert the given line in slope-intercept form that is in the form of (y = mx + c).

2y = x + 16

[tex]y = \dfrac{1}{2}x +16[/tex]

Comparing the above equation with slope-intercept form.

m = 0.5

c = 16

The line parallel to the line (y = 0.5x + 16) means the slope of that line is also equal to 0.5.

The equation of the line whose slope is m and passing through the point [tex](x_1,y_1)[/tex] is given by:

[tex](y-y_1) = m(x-x_1)[/tex]

Now, put the value of slope m and point [tex](x_1,y_1)[/tex] in the above equation.

[tex](y - 1)=0.5(x+6)[/tex]

So, the equation of a line that is parallel to (2y - x = 16) and passes through the  point (-6, 1) is [tex](y - 1)=0.5(x+6)[/tex].

For more information, refer to the link given below:

https://brainly.com/question/21835898

HELP PLEASE I DON´T UNDERSTAND RATIOS!

Answers

Answer:

Jake made 7 bead strings

Step-by-step explanation:

The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.

Answer:

Step-by-step explanation:

You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.

Let the number of necklaces he can make = x

The total number of beads = 56

2x + 6x = 56

8x = 56                     Divide by 8

8x/8 = 56/8

x = 7

So the number of necklaces possible is 7.

If you insist on doing this with ratios then you could do it as

2/8 = x/56   What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.

2/8 = x/56                         Cross multiply

2 * 56 = 8x                        Divide both sides by 8

2 * 56/8 = x

x = 14.

That means of the 56 beads used, 14 of them are red.

6/8 = y / 56                      Cross multiply

6*56 = 8y

336 = 8y                           Divide by 8

336/8 = 8y/8

y = 42

This means that 42 beads were white

 The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.

Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.

Answers

Answer:

it [tex]4^{3}[/tex]

Step-by-step explanation:

i took a test

There are 24 students in a math class and 20 students passed the last quiz. What was the ratio of the students who passed the quiz to those who did not pass the quiz?

Answers

Answer: 25% did not pass the quiz:)

Step-by-step explanation:

A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What is the radius of the cone?

Answers

Volume can be defined as the capacity of a given container or a certain object.

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

The height of the cone = 12 inches

The volume of the cone =  16 π in³

The formula to find the radius of the cone is given as:

√3V/πh

= √ 3 x 16π / π x 12

= 2 inches

Therefore, the radius of the cone is 2 inches.

To learn more, visit the link below:

https://brainly.com/question/25107622

JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?

Answers

Answer:

-118

Step-by-step explanation:

Since he is withdrawing, the value of 20 will be negative.

And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.

So,

-20 x 9 = -118

I really need help in this, please I keep getting links! help asap. (20 points)

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

Answers

Answer:

0.2

Step-by-step explanation:

Eva
Evaluate each expression
1/5
(252)
-5
COMPLETE
27
27
DONE

Answers

Answer:

9

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

9

The price of a television was reduced from $2000 to $1400. By what
percentage was the television reduced?

Answers

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

Two-thirds of the sum of a number squared and 5 is fourteen

Answers

Answer:

2/3( x^2 + 5 ) = 14 or 2/3x^2 - 32/3

Step-by-step explanation:

Part 1:

Two-thirds ( 2/3 )

of the ( (---) )

sum ( + )

of a number squared ( x^2 ) and 5 ( + 5 )

is fourteen ( = 14 )

Part 2 (Not super confident about):

2/3( x^2 + 5 ) = 14

2/3x^2 + 10/3 = 14

2/3x^2 - 32/3

Hopefully this helps!

Brainliest please?

Which graph represents the equation y – 4 = -1/3(x-2)

Answers

Wheres the other two graphs
A and B is wrong tho

Find the measures of the four angles below.

Answers

Answer:

x = 38.8

Step-by-step explanation:

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