The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?

Answers

Answer 1

Answer:

22.5 feet

Step-by-step explanation:

set up a proportion, then cross-multiply

18/20 = x/25      or        18/x = 20/25  

Answer 2

The height of the tree is 22.5 ft

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.

Here we need to find the height of the tree,

We will use the concept of the similar triangles to find the same,

Let the height of the tree be x

So. according to the definition of similar triangles,

18 / 20 = x / 25

x = 45 / 2

x = 22.5

Hence, the height of the tree is 22.5 ft

Learn more about similar triangles, click;

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Related Questions

Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?

Answers

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?

Answers

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

Question 3
And question 4 pleaseeee help!!

Answers

Answer:

see pdf

Step-by-step explanation:

Determine the parent function
Y=x3. Y=^x. Y=1/x

Answers

Answer:

First one is B

Second one is A

next time dont shoot your computer

Step-by-step explanation:

The parent function of the graph is y = √x

How to determine the parent function?

The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit

This means that the equation of the graph is:

y = 3 + √(x - 1)

Remove the translated points

y = √x

Hence, the parent function of the graph is y = √x

Read more about function transformation at:

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When x=5, which is x3?

Answers

Answer:

125

Step-by-step explanation:

5 cubed is literally 5 x 5 x 5

So 5 x 5 = 25

multiply 25 with 5 and you get 125 as the answer.

The Answer Is 8

Your Welcome!♠

PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."


What’s my number? Show your work and explain how you know your answer is correct.

Answers

Answer:

The number is 24

Step-by-step explanation:

This can be written algebraically as:  [tex]\frac{x}{4}+7=13[/tex]

Solve for x, in which the steps are shown below.

Thanks for the question! :)

In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000

Answers

$143,699,010

use the calculator

Stephanie thinks of a positive number.
She squares the number and adds 7
The result is 43
What number did Stephanie think of?

Answers

Answer:

Step-by-step explanation:

If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43

So the number is 6

Answer:

6

Step-by-step explanation:

Do the question backwards

43 - 7 = 36

[tex]\sqrt{36}[/tex] = 6

Stephanies number was 6

What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?

Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4​

Answers

Answer:

when tow line are parallel (a) is same


Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%

A. $2156
B. $2165
C. $1965
D. $1959

Answers

Answer:

a

Step-by-step explanation:

Simplify.
6² + 3²
09
O 18
O 45
081

Answers

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

Follow me please

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

What is the slope-intercept equation of the line below?

Answers

Answer:

B y= -5/4x+3

Step-by-step explanation:


What is the area of the triangle below?

Answers

Answer:

9

Step-by-step explanation:

base = 6

height = 3

1/2 b * h = 9

5(a +3)= 40 *

What is the answer

Answers

Answer:

sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer: a = 5

Step-by-step explanation:

5(a + 3) = 40

5a + 15 = 40

5a -15 = -15

5a = 25

5a/5a = 25/5a

a = 5

Hope this helps :)

How many fifths in 3/4?

Answers

4 cups [US] = 1.063 (1 1/8) fifths

Answer:

19

Step-by-step explanation:

If nine inches represent twelve feet, how many inches
represent 48 feet?

Answers

Answer:

36 inches

Step-by-step explanation:

4 * 12 = 48

So multiply 9 by 4 also and you get 36.

The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?

Answers

Answer: 67.8%

Step-by-step explanation:

The variables that are at most 11 will lie on the left of 11.

The percentage of the possible observations to the left will be:

= 1 - percentage to the right

= 1 - 0.322

= 0.678

= 67.8%

Answer if u know PLS​

Answers

The answer is d (|-23.6|)

Answer: Fourth Option: |-23.6|

Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.

I hope this helps, and Happy Holidays! :)

It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?

Answers

Answer:

Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.

Step-by-step explanation:

Given that
R
=
2
x
+
2
y

Find
y
when
x
=
9
and
R
=
29

Give your answer as an improper fraction in its simplest form.

Answers

Answer: y=11/2

Step-by-step explanation:

r = 2x + 2y

29=2(9) + 2y

29=18 + 2y

11 = 2y

11/2 = y

three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?​

Answers

Answer:

The thief stole 36 apples originally.

Step-by-step explanation:

The thief left the orchard with 1 apple.

which means:

​∴  before meeting the 3rd watchman, he must have had ​=6 apples.

​∴  before meeting the 2nd watchman, he must have had ​=16 apples.

​∴  before meeting the 1st watchman, he must have had ​=36 apples.

​(1+2)×2

​(6+2)×2

​(16+2)×2

​​

So, the thief stole 36 apples originally.

Answer:

The thief took 36 apples.

Step-by-step explanation:

This problem can be solved from end to beginning.

The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.

Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.

Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.

Doing this again, 16+2=18. 18*2=36.

The thief took 36 apples.

Gave 18+2=20 to the first guard. He had 36-20=16 now.

Gave 8+2=10 to the second guard. He had 16-10=6 now.

Gave 3+2=5 to the third guard and got away with just one apple

Please help me with this math question.

Answers

brand b is cheaper
34 cents for brand a
32 cents for brand b

hope this helps im not too sure if im correct

Can someone help me please?

Answers

The missing height is 5 inches
5 inches please tell me if I’m incorrect

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent

Answers

Answer:

$116

Step-by-step explanation:

the total discount is 20-15 = 5%

the dicount = (5*120)/100 = $4

So she bought it with price = 120 - 4 = $116

Answer: 8%

Step-by-step explanation:

1. Apply the discount to the original price

20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars

120-24 = 96 (the new price of the shoes, with the coupon applied)

2. Apply the service fee to the discounted price

15% of 96 (0.15*96) = 14.4

This number is the amount of money being added to the discounted price, as it is an additional fee

96 + 14.4 = 110.4

3. Find the percent discount Genna's shoes are using the new price.

1 - (New price/Old price) = Percent discount

110.4/120 = 0.92

1 - 0.92 = 0.08

The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.

3.78÷15=? Show the work please.

Answers

Answer:

how would you show work?

the answer is 0.252

Step-by-step explanation:

Answer:

0.252

__________________________________________________________

We have to evaluate the expression:

3.78/15

Evaluation:

We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out

So, multiplying numerator and the denominator by 100

[tex]\frac{3.78 * 100}{15 * 100}[/tex]

[tex]\frac{378}{15 * 100}[/tex]

Since 15*25 is 375, we will rewrite the numerator as:

[tex]\frac{375 + 3}{15 * 100}[/tex]

Now, we can split it into 2 separate fractions:

[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]

This new equation is the same as the one before as it can easily be changed to that

Since 15*25 is 375 and 3*5 is 15:

[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]

Since 25*4 is 100:

[tex]\frac{1}{4}+\frac{1}{500}[/tex]

0.25 + 0.002

0.252

Hence, 3.78/15 is 0.252

A baker orders 162 eggs. Each carton contains 18 eggs. Determine which equation can you use to find the number c of cartons.

Answers

The answer is 18c = 162

I need help with this​

Answers

Answer:

m∠z = 106°

Step-by-step explanation:

From the figure attached,

By exterior angle theorem,

m∠z = a + 68°

By linear pair theorem,

m∠a + 142° = 180°

m∠a = 180° - 142°

        = 38°

Therefore, m∠z = 38° + 68°

                          = 106°

How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.

Answers

Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

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