a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used to determine the hight of the lamp post

Answers

Answer 1

Answer:

6/5=x/15

Step-by-step explanation:

6/5=x/15,where x is hight of the lamp post

x=18


Related Questions

geomtry plz help 15 points

Answers

Answer:

[tex]DE=5x-12[/tex]

Step-by-step explanation:

From this we can see this is an equilateral triangle

So, both sides to make every angle equal have to be the same

That's why [tex]DE=5x-12[/tex]

Brainliest please

Answer:

DE = 5x-12 (base angles of isos triangle)

At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?

Answers

Let find percentage of 5/9

[tex]\\ \sf\longmapsto 5/9(100)[/tex]

[tex]\\ \sf\longmapsto 500/9[/tex]

[tex]\\ \sf\longmapsto 55.5\%[/tex]

More students are in chorus

Given

Percentage of students in Chorus.

Fraction of students in band

To find

Which has more students.

Let's start.

We need to find the Percentage of students in band.

[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]

[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]

[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]

[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]

In Percentage:-

[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]

[tex]\sf \longmapsto \: 55.55\%[/tex]

[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]

Chorus has more students

solve the inequality x-3 < 3x -7​

Answers

Answer:

x > 2 or 2 < x

Step-by-step explanation:

x-3 < 3x-7

-3 < 2x-7

4 < 2x

2 < x

x > 2

How do you find the mean of 46,37,34,31,29, and 24??

Answers

Answer:

To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.

1. add all numbers

46+37+34+31+29+24 = 201

2. divide the sum (201) by the amount of numbers you added (6)

201/6 = 33.5

3. and you're done! the mean (which is basically the average) of the given numbers is 33.5

1) Add up all data values to get the sum.
2) Count the number of values in your data set.
3) Divide the sum by the count.

Answer: 181

Adam's school is 12 miles from his house. It takes his older brother 20 minutes to drive him school. Adam spilled his orange juice his morning, and so they left the house two minute late than usual. How much time does his brother to day to dive him to school?

Answers

Answer:

Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late

Step-by-step explanation:

did you miss part of the question while typing?

The answer is 22 minutes

A. —————-is the number above the fraction bar in a fraction. A ———-is the number below the fraction bar that respresents the number of equal parts in the whole

Answers

Answer:

First numerator and second denominator

6) Last month, Yaws checking account
had a balance of Ghc347.20. Since then,
Yaws deposited his paycheck of
Ghc563.89 and withdrew Ghc478.53.
What is Kofi's checking account balance
now?

Answers

9514 1404 393

Answer:

  Ghc432.56

Step-by-step explanation:

Deposits add to the balance; withdrawals subtract from the balance.

  new balance = old balance + deposits - withdrawals

  new balance = 347.20 +563.89 -478.53 = 432.56

Kofi's balance is now Ghc432.56.

5.prove for kite abcd above that BD bisects both ABC and ADC

6.Given from what we now know from 5, prove that M must be the midpoint of AC​

Answers

The kite is a quadrilateral that has two pairs of equal adjacent sides and

one of equal opposite angles.

5. The two column proof is presented as follows;

Statement [tex]{}[/tex]                            Reason

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]     [tex]{}[/tex]                          By reflexive property

ΔABD ≅ ΔBDC    [tex]{}[/tex]                   By Side-Side-Side, SSS congruency postulate

∠ABC = ∠ABD + ∠CBD      [tex]{}[/tex]    Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

[tex]\overline{BD}[/tex] is a bisector of  ∠ABC    [tex]{}[/tex] Definition of angle bisector

∠ADC = ∠ABD + ∠CBD      [tex]{}[/tex]     Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

Therefore;

[tex]\overline{BD}[/tex] is a bisector of ∠ADC     [tex]{}[/tex] Definition of angle bisector

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

6. The two column proof is presented as follows;

Statement [tex]{}[/tex]                          Reason

∠ABD ≅ ∠CBD  [tex]{}[/tex]           CPCTC (question 5)

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                  Given

[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex]      [tex]{}[/tex]              Reflexive property

ΔABM ≅ ΔCBM      [tex]{}[/tex]      According to Side-Angle-Side, SAS congruency rule

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex]      [tex]{}[/tex]               CPCTC

[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex]    [tex]{}[/tex]                  Definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex]    [tex]{}[/tex]        Segment addition postulate

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] =  2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality

[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex]    [tex]{}[/tex]        Division property of equality

M divides [tex]\overline{AC}[/tex] to two   [tex]{}[/tex]  Definition

M is midpoint of [tex]\overline{AC}[/tex]   [tex]{}[/tex]   Definition of midpoint

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The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448

Answers

I’m not sure m8 but u gave me some points thanks man

A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.

Complete the statement about the meaning of 65 in this situation.


The car travels_________ miles in ________ hour.

Answers

Step-by-step explanation:

10 1

20 miles car travel 65t hb

damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks

Answers

Answer:

10,080,000 (because 720×14, the total number of days he swam in two

Step-by-step explanation:

what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee

Answers

Answer:

10

Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)

X1=9

X2=9

Y1=-2

Y2=8

Distance= (9-9)²+(-2-8)² (all square root)

=(0)²+(-10)² (all square root)

=0 + 100 (square root)

=100 square root

=10

4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz

Answers

Answer:

3/10

Step-by-step explanation:

Find a common denominator for both fractions.

4/5 - 1/2 = 8/10 - 5/10

How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *

Answers

Answer:

303

Step-by-step explanation:

math

essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?

Answers

Answer:

$69 is correct

hope this helps

Answer: $69

Step-by-step explanation:

multiply 23 and 3

A research question is a declarative statement which can be tested to determine the probability of it being true or false.

Answers

Answer:

Step-by-step explanation:

Yes the answer is true.

A declarative statement is one that

makes a statementprovides a factoffers an explanationconveys information

That being said, it can make a statement that is testable. It is testable, it can be assigned a probability.

If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?

Answers

Answer:

3 gallons

Step-by-step explanation:

Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21

Answers

Answer:

SSS

Step-by-step explanation:

The triangles are similar according to SSS rule (side lengths)

You can check it by writing the following equation:

6/9 = 16/24 simplify both sides

2/3 = 2/3

A contractor uses a scale drawing of an office floor to determine the amount of carpet he needs to buy 1/4 inch = 4.5 feet the width in the scale drawing of the office floor is 6.4 inches what is the actual width of the office floor

Answers

A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.

A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.

In the given question, the scale factor is given as:

[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet

Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.

So then;

[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet

6.4 inches = x

x = [tex]\frac{6.4 *4.5}{\frac{1}{4} }[/tex]

  = [tex]\frac{28.8}{0.25}[/tex]

x = 115.2

Therefore, the actual width of the office floor is 115.2 feet.

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Answer:

115.2                                                                /\

Step-by-step explanation:                         /     \

What the person above me said.             /         \

5.A Nathan decided he wanted to go to a theme park. The theme
park charges $ 7.00 for entry and $ 1.50 for each ride. Part A : Write an
expression to represent this scenario where R represents the number of
rides.

5.B Refer to problem 5. Part B: Write and solve an equation to determine
how many rides Nathan can ride if his Dad give him $ 28.00. Show your work.

Answers

Answer:

5a. $1.50R + $7

5b. 14 rides

Step-by-step explanation:

5b. $28 - $7= $21/1.50= 14

He can go on 14 rides

If rides be x

Initial price=7Rate of change=1.5

The equation is

y=1.5x+7

#B

Put y=28

1.5x+7=281.5x=28-71.5x=21x=14

Total 14 rides

In how many ways can a student answer the questions on the test if the student can leave answers blank

Answers

they can have multiple answers or leave it blank

Please take a look at the picture for question

Answers

A



hope i made your day

Mr. Morton sold
bird houses to stores he started the week with 60 he sold 10 to one store and divided the rest between five other stores how many bird houses he’s so to each of the other five stores

Answers

Answer:

10

Step-by-step explanation:

please help me i’ll give brainlist and points

Answers

Answer:

Area solution

Step-by-step explanation:

A=(16+10)×12/2= 156 m^2

Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?​

Answers

Answer:

25%

Step-by-step explanation:

Like and give 5 star rating

Mark brainllest please

what is the measure of line CD. explain​

Answers

So the answer will be 15-19 one of those numbers so 15 16 17 18 or 19

Find the difference between 11/5 and 5/2 on a number line

Answers

9514 1404 393

Answer:

  -3/10

Step-by-step explanation:

11/5 plots on a number line at 2.2

5/2 plots on a number line at 2.5

The distance between these points is 2.5 -2.2 = 0.3.

__

If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.

Which comparison is incorrect?
-3> -7
-9> 4
-4>-6
7>5

Answers

Answer:

-9> 4

Step-by-step explanation:

-9> 4

Positive numbers are greater than negative numbers and knowing that makes this comparison incorrect.

Hope this helps :)

-9>4
A negative cannot be greater than a positive

An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?

Answers

The number of paintings the designer can hang is 32.

In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.

Number of paintings = length of hallway / length of paintings

The unit of measurement of the hallway and the paintings have to be the same length,

1 foot = 12 inches

24 feet x 12 = 288 inches

Number of paintings = 288 / 9 = 32 paintings

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Solve the inequality

-5/7 - 6/7z < -2/7

Answers

[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]

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