A bench is located where the shadows casted by a 16 foot tall flagpole and 40-foot tall tree meet. If the bench is 18 feet from the flag pole, find the distance from the flagpole to the tree

Answers

Answer 1

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Similar Triangles

Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.

Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

[tex]\displaystyle \frac{16}{18}=\frac{40}{x}[/tex]

Where x is the distance from the bench to the tree.

Solving for x:

[tex]\displaystyle x=40\cdot \frac{18}{16}[/tex]

x = 45 feet

Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet

A Bench Is Located Where The Shadows Casted By A 16 Foot Tall Flagpole And 40-foot Tall Tree Meet. If

Related Questions

What is the unit rate for 10 hours to drive 550 miles

Answers

Answer: 55 miles per hour

Step-by-step explanation:

Answer:

55 miles

Step-by-step explanation:

im pretty sure this is right, hope this helps!

-6 + (-8)= What’s the answer I need help I will give brainliest to who ever helps me!!.

Answers

Answer:

-14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

Negative -6 - 8  is just like addition

The Poolas family likes to hike along the Purple Mountain Trail. They hiked the same distance each day for 6 days, traveling a total of 25 miles. How many miles did they hike each day ?

Answers

The answer is 4.166666666666667

We have to divide the 25 from the 6 to get the miles. The miles they cover in each hiking day is 4.167 miles.

What is division?

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The Poolas family likes to hike along the Purple Mountain Trail.

They hiked the same distance each day for 6 days, traveling a total of 25 miles.

The miles they cover in each hiking day will be

[tex]\rm \rightarrow \dfrac{25}{6} = 4.167\ miles[/tex]

The miles they cover in each hiking day is 4.167 miles.

More about the division link is given below.

https://brainly.com/question/369266

4 2/3÷1 1/5 .......

Answers

Answer:

3 8/9

Step-by-step explanation:

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

The answer is 3 and 8/9 or 35/9

Price of oil decreased from ₹70 to ₹50. The percentage of decrease is ________. *

Answers

Answer:

Twenty - percent pounds

7x - 4 / (x-8)(x+5) = a/x-8 + 3/x+5

Find for a

Answers

Answer:

a= 7x^3−57x^2−47x+24 /x−8

Step-by-step explanation:

Adrian is drawing a map to show the directions from his house to his grandmother's house. He uses a scale of 1 1/2
inches represents 12 miles. If the distance from his house to his grandmother's house is 36 miles, how long is the drawing
on the map?

Answers

It’s going to be 4 1/2 inches.
36/12=3
3x1 1/2=4 1/2

The length of the drawing on the map for 36 miles is given by the equation A = 4 1/2 inches

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 equation be represented as A

Now , the value of A is

Let the number of miles be = 12 miles

So , 12 miles on the drawing represents = 1 1/2 inches

Now , the number of miles = 36 miles

12 x 3 = 36 miles

And , 36 miles on the drawing represents = 3 x 12 miles on the drawing

Substituting the values in the equation , we get

36 miles on the drawing represents A = 3 x ( 1 1/2 )

On simplifying the equation , we get

36 miles on the drawing represents A = 4 1/2 inches

Hence , the value on the drawing is 4 1/2 inches

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Can you PLEASE help me with this?!

Answers

Step-by-step explanation:

angle B=angle E

5x=45

x=9

help please will give brainllst to the right answer

Answers

Answer:

7

Step-by-step explanation:

Answer :


Your answer will be 7

Write the quadratic equation whose roots are - 5 and -4, and whose leading coefficient is 3.

Answers

Answer:

The quadratic equation is

3x^2+ 27x + 60

Step-by-step explanation:

Here, we have the roots -5 and -4 and the leading coefficient of 3

Mathematically, we simply have this done to the roots;

x = -5 implies x+ 5

x = -4 implies x + 4

The product of this two will be;

(x + 5)(x + 4)

= x^2 + 5x + 4x + 20

= x^2 + 9x + 20

we add the leading coefficient

that would be;

3(x^2 + 9x + 20)

= 3x^2 + 27x + 60

(3 + 4q)(3) simplified

Answers

9+12q
Just multiply 3 by the numbers

find the value of " m " of which
5^m÷5-³=5^5​

Answers

Answer:

m=2

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDASgiven:[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]tips and formulas:[tex] \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} [/tex][tex] {x}^{a} = {x}^{b} < = > a = b[/tex]let's solve:

[tex] \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} [/tex]

[tex] {5}^{m - ( - 3)} = {5}^{5} [/tex]

[tex]m + 3 = 5[/tex]

[tex]m = 2[/tex]

Answer:

[tex] {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}[/tex]

★ m=2 is the right answer.

4. Find the perimeter of the hexagon. Round to the nearest
hundredth.

Answers

Answer:

2

Step-by-step explanation:

to solve for the perimeter of a hexagon the formula is

P=6a

each side is 2

2 times 6=12

Diego scored 426 points by collecting 6 coins. After collecting a total
of 12 coins, how many points will Diego have scored in all? Assume
the relationship is directly proportional. Write the proportion, then
solve.

Answers

Answer:

cutequotes16

Step-by-step explanation:

go follow them they are awsome

Answer:

1278

Step-by-step explanation:it's easy.

Find the equation of the exponential function represented by the table below.

Answers

25508 bc u divide multiple subtract characters in life

A monument outside city hall has dimensions as shown below in the figure. If one gallon of paint can cover 213 ft^2, how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.

Answers

Answer:

sides

14 X 22 = 308 square foot there are four of these

308 X 4 = 1232 square foot.

triangles

A= 0.5 X b X h

0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot

1232 + 280 = 1512 square foot

1512/213 = 7.09859154

8 gallons of paint will need to be purchased.

Karen bought a $6.95 canvas and 8 tubes of paint. She spent $24.95 on the canvas and the paints. Which equation can be used to find the cost of each tube of paint?

A. 6.95 + 8c = 24.95
B. 8 - 6.95c = 24.95
C. 6.95 - 8c = 24.95
D. 8 + 6.95c = 24.95

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. 6.95 + 8c = 24.95

Step-by-step explanation:

Well, the answer to this question is A is because if we carefully look at this problem, then we can see that Karen bought a canvas for $6.95 and she also bought 8 tubes of paint. Now, the total amount of money that she spent is $24.95.

So, in this problem, our $6.95 is the cost for the canvas that she bought whereas when she mentions buying 8 tubes of paint, she doesn't mention how much each tube of paint costs so, the cost for one tube of paint is unknown and thus, it is a variable.

So, in conclusion, the answer to this question is definitly, A. 6.95 + 8c = 24.95

Pls help me I’ll make u brainly

Answers

Answer:

x=2

Step-by-step explanation:

2x3=6-2=4 hope this helps!!

Original Price = ? Percent of Discount = 5% Sale Price = $57

Answers

Answer:

Original Price = $ 60.00

Step-by-step explanation:

This attachment has the formula of how I calculated it.

Find the area of a rectangle whose length is 5 ½ feet long and 1 3/4 feet wide.

Answers

Answer:

11/2 x 7/4 = 77/8 = 9 5/8

Step-by-step explanation:

A model rocket was launched from a podium 5 meters above are

an initial velocity of 98 m/s. The function that models height in me

with respect to time (in seconds) is h(t) = 5 + 987-4.9t2

meters above ground at

meters)

Answers

Answer:

See solution below

Step-by-step explanation:

Find the complete question below;

Given the height modeled by the function;

h(t) = 5 + 98t-4.9t²

when t = 0

h(0) = 5 + 98(0)-4.9(0)²

h(0) = 5

when t = 5

h(5) = 5 + 98(5)-4.9(5)²

h(5) = 5 + 490 - 122.5

h(5) = 372.5

when t = 10

h(10) = 5 + 98(10)-4.9(10)²

h(10) = 5 + 980 - 490

h(10) = 495

when t = 15

h(15) = 5 + 98(15)-4.9(15)²

h(15) = 5 + 1470 - 1,102.5

h(15) = 372.5

when t = 20

h(10) = 5 + 98(20)-4.9(20)²

h(10) = 5 + 1960 - 4.9(400)

h(10) = 1965- 1960

h(10) = 5

Find the graph attached

Can someone help me pls

Answers

Answer:

b

Step-by-step explanation:

answer c

Step-by-step explanation:

What is the probability of me choosing a number that is both a square and a factor of 3
Square Number
Factor of 3

1,3,5,7, 2, 4, 9, 12, 16, 25, 36

Answers

Answer:

2/11 or roughly 18%

Step-by-step explanation:

fisrt we have to find all the numners that fullfil this condition. They are 9 and 36, so only two. then we have to divide 2 by the all the numbers and we get 2/11

what is the solution to y=2x+3 y=3x+3

Answers

(2,7) is the solution which is the same as x=2, y=7
If the problem you are trying to ask is a simultaneous equation, the solution is:

( x, y )= ( 0, 3 )

Help me with this problem?

Answers

The answer is 28
You are smart believe in your self god loves you

What is the y-intercept of the function described in the table?

Answers

Answer: 4

Step-by-step explanation:

There are 35 raisins for every 23 candies in each bag of Trail Mix. What is the ratio of raisins to candles in the trail mix?​

Answers

Answer:

35 to 23

Step-by-step explanation:

Raisins:candies = 35:23

A line passes through the points (4, -1) and (2,3). What is the slope of the line?​

Answers

-2 you do y2-y1/x2-x1 i believe
Slope = (Yb - Ya) / (Xb - Xa)
Slope = (3 - (-1)) / (2 - 4)
Slope = (3 + 1) / (-2)
Slope = 4/-2
Slope = -2

Out of a total of 3000 available parking spaces in a mall parking lot, 1875 are taken. What percent of the parking spaces are taken?

Answers

Answer:

62.5%

Step-by-step explanation:

1875 diveded by 3000 = 62.5

Linda had 25 ounces of water in her water bottle.After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation. *

Answers

Answer:

25-X=10

Step-by-step explanation:

she started with 25 ounces and drank x so thats just subtracting.

By the way X=15

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