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 slope of the line shown below?
(1,7)
(3,5)
-10
-10
O A.
O B.
1
2
O c. 1
O D.-1

Answers

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

Can someone help me pls

Answers

Answer:

9

Step-by-step explanation:

V=πr²h

2797.74=πr²11

2797.74÷11π=r²

81=r²

√81=r

9=r

How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answers

There are 6.4 Kilometers in 4 miles

Y + 2 = -3/4 ( x +1 )

Answers

Answer:

Step-by-step explanation:

JUST HELP ME ITS DUE IN5 MINUTES:"( ASAP <3

Answers

Answer:

A. 25%

25% is equivalent to 1/4 and when you multiply 75 by 4 you get 300. Which means 75 is equivalent to 1/4 and 1/4 is equivalent to 25%. So the answer is 25%. I'm so sorry if this explanation is bad

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

x = −6
x = −4
y = −6
y = −4

Answers

Answer:

The equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given that on a coordinate plane passes through (-8, 4) and (8, 4).

As the value of y remains the same for any value of x.

i.e. y = 4 for any value of x.

Thus, the given line is a horizontal line.

We know that the slope of a horizontal line is zero.

Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.

so substitutig m = 0 and b = 4 in the slope-intercept form

y = mx + b

y = 0x + 4

y = 4

Therefore, the equation of line passing through the point  (-8, 4) and (8, 4) is:

y = 4

Now, we also know that the slope of parallel lines is equal.

Thus, the slope of the line parallel to the line y = 4 is also 0.

As the parallel line passes through (−4,−6 ).

so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b

y = mx + b

(-6) = 0(-4) + b

-6 = 0 + b

switching the sides

0 + b = -6

b = -6

Thus, the slope-intercept b = -6

now substituting m = 0 and b = -6 in the slope-intercept form of line equation

y = mx + b

y = 0(x) + -6

y = 0 - 6

y = -6

Therefore, the equation of parallel line passes through the point (−4,−6 ) is:

y = -6

Please also check the attached graph.

Answer:

1351

Step-by-step explanation:

If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00? ​

Answers

Answer:

$36.75

Step-by-step explanation:

The sales tax rate = 5 = 0.05  [Divide by 100 to convert in decimal]

The cost of a pair of shoes = $35.00

Tax amount to pay = Tax rate × Cost of a pair of shoes

5% of 35 = 1.75

35 + 5% = $36.75

Please help its a emgrency its a test
Ethan can find the distance between two cities using the map scale in which 2 centimeters represents 15 miles. The distance between Mesquite and Terrell is 5 centimeters on the map. What is the actual distance between these two cities in miles?

Answers

Answer: 4 centimeters is 30 and then you would have to find half of 15 I'm pretty sure that's 7.5. Is there an answer that says: 37.5?

Answer:

37.50

Step-by-step explanation:

i think sorry if im wrong

Help needed! What is the amplitude of this graph and given there are no other transformations, write the equation of this cosine function? comment if you can't help so I know please!​

Answers

Amplitude is 4

I don’t know the cos function, sorry :(

$213 ski jacket with a 30% discount and a 6% tax

Answers

$158.046

Take the discount off first, 213*.70=149.10, then multiply 149.10*1.06= $158.046

158.04$.

What is discount?

A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.

Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,

discounted price of jacket = 213 (1- 30%)

discounted price of jacket = 149 approx.

Total price of the jacket after-tax = 149 (1 + 6%)

The total price of the jacket after-tax = 158.04$

Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.

Learn more about discounts here:

https://brainly.com/question/3541148

#SPJ2

the diagram shows a circle inside a square. work out the area of the circle

Answers

Answer:

i don't know the answer as you haven't given the diagram

Step-by-step explanation:

asumming the circle is touching the square the length of the sides of the square is the diameter of the circle using this information you use the formula area= pie*radius squared find the area.

(radius=half the diameter0

1.) Subtract unlike fractions using the butterfly method.
.
WIN
-
1
6
-
1/4
O 1/2
O 1/3
O 1/5

Answers

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17

Answers

the answer is d . 17
The answer to this question is C

PLS HELP ITS TIMED..

Answers

Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

The solution of 25x=300 is

Answers

Divide by 25 on both sides which leaves you with x= 300/25. 300 divided by 25 is 12. So x=12

Answer:

The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .

Step-by-step explanation:

Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!

What is 1/2x(4+6x3)-9?

Answers

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

How are inherited alleles related to an organism's traits?
his

Answers

Answer:

Although an individual gene may code for a specific physical trait, that gene can exist in different forms, or alleles.

Step-by-step explanation:

One allele for every gene in an organism is inherited from each of that organism's parents. ... Alleles produce phenotypes (or physical versions of a trait) that are either dominant or recessive.

pls help ASAP. 3+4√6÷√3+√2​

Answers

Step-by-step explanation:

[tex] \frac{3 + 4 \sqrt{6} }{ \sqrt{3 } + \sqrt{2} } = \frac{3 + 9.798}{3.146} = \frac{12.798}{3.146} = 4.068 = 4.07[/tex]

1) From 30 inches to 24 inches. What is the percent of change? A. Increase 20% B. Decrease 25% C. Increase 20% D. Decrease 20%​

Answers

Answer:

either d or b???

It’s clearly a decrease, since it goes form a higher number (30) to a lower one (24).
30-24 = 6
6/30 = x/100
Work:
6 x 100 = 600
600/30 = 20

So there’s a 20% decrease.

PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW

Answers

Answer:

cant its blocked

Step-by-step explanation:

i never understood this!who ever gives me a answer i'll give em 5 stars and a thanks

Answers

What’s the question asking? I’m pretty good at math and explaining! (:

Select the correct answer.

Factor the given expression.

x2 + 16x + 64


A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2

Pls help will give brainliest if the answer it right

Answers

Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

CONSTRUCTION The area of Liberty Township’s square playground is represented by the trinomial x^2 - 10x + 25. Write an expression using the variable x that represents the perimeter.

Answers

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

Volume =
18 in......

Answers

What are you trying to ask? Or convert it into?

what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles​

Answers

Answer:

6/32 or 3/16 chance

Step-by-step explanation:

Adding all of the marbles up we get our total, 32.

We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.

Answer:

6/32 or u can simplify it to 3/16

Plzzzzz give me Brainliest!!!!!  

What is the area of the rectangle
A)60 sq. in.
B)40 sq. in.
C)20 sq. in.
D)28 sq. in.

Answers

Answer:

B) 40 sq. in

Step-by-step explanation:

4 times 10 = 40

B)40 sq. in.

A = L • W
A= 4 • 10


Describe the end behavior of each function.
f(x) = -25 + 4x² - 4x + 4

Answers

Answer:

x-> negative infinity y-> positive infinity

x->positive infinity y-> positive infinity

Step-by-step explanation:

Degree is even and leading coefficient is +ve.

Find the perimeter and area of this shape

Answers

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5

Answers

Answer:

The answer is 357

Step-by-step explanation:

If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball above the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.

Answers

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

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