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

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Related Questions

Write the equation of the line (in slope-intercept form) where: slope = 1/4 and y-intercept = (0, -5)

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

The formula is y=mx+b

m=slope, slope= 1/4

b= y-intercept, which equals -5.

Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.

The final formula would look like y=1/4x-5

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

Answers

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

Please help!! I have trouble in math and will give points and thanks for this!!

Answers

Answer:

-5

Step-by-step explanation:

You can count backwards from -1.

-1, -2, -3, -4, and then -5 is the blue dot.

The left side of 0 is the negative side. The right side is the positive side.

Hope this helps!

Answer:

-5

Step-by-step explanation:

If you're going backward on the number line then you are in the negative zone because of -1

2.3a+3.5b-1.8a-2.7b simplify. Show work.

Answers

Answer:

a = -1.6b

Step-by-step explanation:

Simplifying

2.3a + -1.8a + 3.5b + -2.7b = 0

Combine like terms: 2.3a + -1.8a = 0.5a

0.5a + 3.5b + -2.7b = 0

Combine like terms: 3.5b + -2.7b = 0.8b

0.5a + 0.8b = 0

Solving

0.5a + 0.8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.8b' to each side of the equation.

0.5a + 0.8b + -0.8b = 0 + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0

0.5a + 0.0 = 0 + -0.8b

0.5a = 0 + -0.8b

Remove the zero:

0.5a = -0.8b

Divide each side by '0.5'.

a = -1.6b

the product of a number and -8 is 72​

Answers

Answer:

-9.

The product of -9 and -8 is 72.

Step-by-step explanation:

Product means the answer of a multiplication, so we're given 72 and -8.

We can solve this by using inverse operations.

The inverse operation of multiplication is division, so we divide 72÷ -8

This will give us -9.

Expand and simplify
3(x + 5) + 2(x + 4)

Answers

3(x+5) + 2(x+4)
3x+15+2x+8
The answer is 5x+23

Answer:

5x + 23

Step-by-step explanation:

3 ( x+5) + 2 ( x+4 )

3x+15+2x+8

3x+2x+8+15

5x+23

What is 3×7×7×7×7 using index notation

Answers

Answer: 3 x 7^4

Because there's one 3 & four 7's .

Step-by-step explanation:

A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)

Answers

Answer:

We see that the original material was a base, after adding the other material into the base it reduces its basicity.

So we can infer that the substance added was an acid as if we add bases it will increase the basicity.

PLZ MARK BRAINLIEST

If 30% of all the people at the carnival are on a ride, how many people are on a ride?

Answers

Answer:

165

Step-by-step explanation:

30% x 550= 165

What is the numerical expression of 28

Answers

Answer:

the answer is 5 i think

Step-by-step explanation:

The following list gives the number of public libraries in each of 11 cities. 7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."​

Answers

Answer:

The mode are: 7, 8

Step-by-step explanation:

Given

[tex]7, 11, 8, 7, 8, 7, 8, 11, 8, 10, 7[/tex]

Required

Determine the mode

We start by arranging the given data in ascending order

The ordered data are:

[tex]7,7,7,7, 8,8,8,8, 10, 11, 11[/tex]

From the above data.

7 has a frequency of 4

8 has a frequency of 4

10 has a frequency of 1

11 has a frequency of 2

The data with the highest frequency is the mode.

We can see that 7 and 8 both have frequencies of 4

Hence, the mode are: 7, 8

Answer:

The mode are: 7, 8

Step-by-step explanation:

Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.​

Answers

Answer:

just go with your heart

Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1

Answers

don’t quote me but i think a

The equation is represented by the table is y= 4x - 1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the table

 x    y

 1    3

-1    -5

 2    4

-3   -7

 

Now, using the above table we can write the equation

(y - 3) = (-5-3)/ (-1-1)  (x- 1)

y - 3 = (-8) / (-2) (x -1)

y - 3 = 4 (x - 1)

y - 3 = 4x - 4

y = 4x - 4 +3

y= 4x - 1

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What is the slope of the line represented by the equation y=X3?
40 Points I need help doing a test !!

Answers

Answer:

B

Step-by-step explanation:

trust

Answer:c) 4/5

Step-by-step explanation:

y= mx+c, here, m is the slope.

In this case, m= 4/5, c= -3

Which of the following is a solution of z^5 = 1 + √3i?

Help much needed! Thank you

Answers

[tex] \sqrt[5]{2} [/tex]

=cos12°+isin12° is your answer

PLease guys help!!!

Ice has ________ energy.
1. mechanical
2. cold
3. heat

Answers

Answer:

ice has kinetic enery

Step-by-step explanation:

Ice has heat energy

ice has kinetic/heat

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?

Answers

Answer:

.........................

Answer:

200

Step-by-step explanation:

she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200


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:

When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?

Answers

Answer:

There is no other way you can expand the brackets

Step-by-step explanation:

The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75

Answers

Answer:

5.15 hope this help!!!

Step-by-step explanation:

give this brainlieast so other people can know its not 20.60

1. Which equation does not match the diagram? A. 6 +3x= 30
B. 3(x+6) = 30
C. 3x = 30- 6
D. 30 = 3x + 6 ​

Answers

Answer:

B

Step-by-step explanation:

The solution is Option B.

The equation which does not satisfy the relation is 3 ( x + 6 ) = 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of x in the diagram be = 3

So , the total number of x = 3x

The sum of the values in the box = 30

So , the equation will be

6 + x + x + x = 30

On simplifying the equation , we get

6 + 3x = 30   be equation (1)

a)

6 + 3x = 30

The equation satisfies

b)

3 ( x + 6 ) = 30

On simplifying the equation , we get

3x + 18 = 30

The equation does not satisfy

c)

3x = 30 - 6

Adding 6 on both sides of the equation , we get

3x + 6 = 30

The equation satisfies

d)

30 = 3x + 6

The equation satisfies

Hence , the equation which does not satisfy the relation is 3 ( x + 6 ) = 30

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PLEASE HELP!! I will mark brainliest

Answers

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?

Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.

Balanced equation: 1N2 (g) + 3H2(g)  2NH3(g)

Molar mass of H2 = g/mol

100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3

Molar Mass of N2 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3

A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product

B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product

C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol

100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3

Answers

Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have

100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂

Hydrogen (H) has a molar mass of about 1.008 g/mol, so

100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂

In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have

3.570 • 3 ≈ 10.71

so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.

(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.

(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.

(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or

7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃

What is a unit rate? *
items of different measures being compared
a ratio in which the second value is one
a comparison of two quantities by division
0 This is a required question

Answers

Answer:

a ratio in which the second value is one

Step-by-step explanation:

Hope this helps!

Answer: How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour. • You can paint 3 boards in half an hour. The unit rate is 6 boards per hour. • 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person. • They need 5 m of thread to make 2 cm of cloth.

Step-by-step explanation: Just wanted to give a example if that doesn't help go to google and watch a video or do some reading about it!

16 liters to quarts (dry measure)

Answers

Answer:

16 litres =14.53 US qt dry

Step-by-step explanation:

Please mark my answer as a brainliest. ❤❤❤

The area of a square shaped park measures 16900 square feet. How many feet of fencing would be needed to enclose that park?

Answers

Answer:

520 feet

Step-by-step explanation:

The area=16900

Area formula=b^2

b^2=16900

square root of 16900=130

130*4=520

Will give brainliest please help

Answers

The middle is a square so yep

Answer:

49

Step-by-step explanation:

In the middle of the figure , there's a square whose each side length is 7. So area of the square will be [tex] {7}^{2} = 49 \: {unit}^{2} [/tex]

What is the area of this kite?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwNHJBVjU5YmlNNWhaTGZXMmhRVnNJTVJTSWFCSUVGQW5aQTBLVEhDWjEzdGxuY2xyRF9zcHhmVGxqV0ZBbl9IZXl3dlBvcW5SM01XZlFVVnNhNldHUjBmNzVmQS5jZV9xLXlWdzVyXzFWQ1pB?w=400&h=400

a
29 square meters
b
49 square meters
c
39 square meters
d
19 square meters

Answers

Answer:

39 square meters.

Step-by-step explanation:

9 times 3 is 27. You have two triangles with length and width of 9 and 3 so you multiply it and get 27. You also have two smaller triangles of 3 and 4 and if you combine them it is really just a square. It is 3 times 4 which is 12. Now, the answer is 12 + 27 and you get 39 square meters. Hope it helps. Brainliest would be cool

D because if you add all the sides you will get 19 square meters which is the area

What is the value of the expression shown? 4[4.5 − 2(1.2)]

Answers

8.4 or 8 2/5 or 42/5

2x1.2
4(4.5-2.4)
4 x 2.1
8.4

ANSWER: 8.4 or 8 2/5 or 42/5

please mark brainliest if my answer is correct;)

Solve for x. 2x – 16 = -9

Answers

Answer:

x = 7/2

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

2x-16=-9

2x=-9+16

2x=7

x=7/2 or 3.5

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