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

36 is 80% of what number?


Enter your answer in the box

Answers

Answer:

36 is what percent of 80? = 45.

Answer:

45

Step-by-step explanation:

46/80%

pretty simple I hope this helps you

Solve by completing the square x^2-10x-24=0

Answers

Step-by-step explanation:

=x²-10x-24

=x²-4x+6x-24

=x(x-4)+6(x-4)

=(x-4)(x+6)

hope it helps.

I reallyyyy need help and i gotchu wit a lot of points if you can help me

Answers

Answer:

a. $14.99k + $24+ $25 = x

b. $14.99(3) + $24+ $25 = x

   $44.97 + $24 + $25 = $93.97

Step-by-step explanation:

Answer:

i) C= $14.99 k + $24

ii) $93.97

Step-by-step explanation:

Let the number of models be represented by -----------k

Let the amount spent on books to be--------$24

The equation that represent amount spent in the mall is given as;

C= $14.99 k + $24   ---------------where ;

C= the equation for the total amount spent in the mall

k = the number of plane models

ii)

Using the equation : C= $14.99 k + $24    and if k = 3 and the amount spent on the store is $25  then ;

C= $14.99 * 3 + $24 = $44.97 + $24 = $68.97

C+ 25 = $68.97 + 25 =$93.97

Decide whether or not the relation is a function.

[(0,1), (-5,4), (0,2), (5,-4)]

Answers

Answer:

The relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(0,1), (-5,4), (0,2), (5,-4)}

From the given relation is clear that the input value x = 0 is repeated twice.

In other words, the input value x = 0 is duplicated.

As we have already mentioned that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

16 can be written as:
O
A. 22

B. 44

c. 24
D. 82
E. 28

Answers

Answer:

2^4

Step-by-step explanation:

2^2 = 2 * 2 = 4

4^4 = 4*4*4*4 = 256

2^4 = 4*4 = 16

8^2 = 8*8 = 64

2^8 = 2*2*2*2*2*2*2*2 = 256

Hence, 16 can be written as 2^4

Thus, Answer is [C] 2^4

[RevyBreeze]

PLEASE HELPP I WILL GIVE BRAINLIEST
write the slope intercept form of the equation of each line

Answers

Answer:

Y= - 1/5x-4

Step-by-step explanation:

slope intercept form: y=mx+b

Slope formula: rise/run

(5,-5) AND (0,-4)

-5+-4= -1

 5+0=  5 AKA - [tex]\frac{1}{5}[/tex] or -1/5

The m in y=mx+b is the slope, the equation above is the sloe formula meaning -1/5 is the slope. The b is the y, when it is at 0. The y at 0 for this equation is -4. Thus, when plugging in the equation, y=-1/5x-4

what is 68,302 divided by 1,000

Answers

The answer is 68.302

Least to greatest
8/9 0.51 3/5

Answers

.51 then 3/5 then 8/9

Answer:

0.51 ,8/9, 3/5

Step-by-step explanation:

that is pretty self explanatory, i hope that helps!

DESPERATE WILL GIVE BRAINLIST AND THANKS
A right rectangular prism is shown.

What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?

Drag and drop the answer into the box.

Response area in.
1.82.43.55.4
A cuboid with points labeled from A to H. It has a height of 3 inches, a width of 1.5 inches, and a depth of 1 inch.

A.3.5
B.1.8
C.2.4
D.5.4

Answers

Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

4. Simplify the expression by combining like terms. 8a+6b+5a+2b *

A. 13a+6b-2b
B. 17ab
C. 13a+8b
D. 13a+4b

Answers

Answer:

C

Step-by-step explanation:

Add the like terms, the a's by themselves and b's by themselves.

8a+5a=13a

6b+2b=8b

so 13a+8b

C

There is more than one answer!

Answers

Answer:

I think it's B and D

Step-by-step explanation:

Find the missing length indicated
i will give brainliest to first correct answer
HELP!!

Answers

Answer:

the answer is B. I hope this helps

Step-by-step explanation:

would you like me to explain?

Answer:

I guess (A) 24 is the correct answer

What is the value of y? Show you’re work

Answers

Answer:

Y = 32

Step-by-step explanation:

First traingle is 180 degrees

So 180 - 52 = 128

Then 2y + 2y = 4y

So now 128/4 = 32

If you wanna checl ur answer just put the number in and check if it equal to 180

Graph the line that passes through the points (-9,5) and (-9,-5) and
determine the equation of the line.

Answers

Answer:

x=-9

Step-by-step explanation:

M(slope)=y2-y1/x2-x1

m=-5-5/-9+9

m= -10/0

This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.

f(3) = 3x² +b For the function, f, defined above, f(4) = 49. What is the value of b?

Answers

Answer: 5.4~

Step-by-step explanation:

For the problem F(3) = 3x^2 +b, you have to first figure out what F(3) is and in this case it is 49, so now you have part of the question solved. Then you start working on the other side of the equation 3x^2 +b = 49, we don't know what x is so lets figure it out, by that you need to do 3x^2, the equals 9. So, so far we have the equation 49 = 9x +b. Now we need to get rid of the x on the 9, having a variable is considered multiplying so you need to divide 9 by 9, but remember what you do to one side you have to do to the other, so now you have to divide 49 by 9 and you get 5.444444444. Now the equation is b=5.4~ meaning that b is around 5.4, I hope this helps.

The radius of a cone is 10 units and the height is 15 what is the volume?

Answers

Answer:

4712.38  - rounded to the nearest tenth- 4712.4

Step-by-step explanation:

r-10

h-15

v-Bh

pie x 10² x 15

Type the correct answer in the box. Use numerals instead of words.
C
D
B
In the figure, angle B measures 44º, angle A measures 62°, and angle E measures 50°
Complete the equation to solve for f, the measurement of angle F.
f= 180° - 50° -

Answers

the answer is 77 enjoy please like seroislyyyyyy round 50 cold war zombies!!!

Answer:

the answer is 77 please enjoy

Step-by-step explanation:

name the x- and y- intercepts for equation 2x- y=6

Answers

Answer:

i dunno this im in third grade

Step-by-step explanation:

The y intercept is -6
The x intercept is 3

help i need help again fast​

Answers

Answer:

donkey kong

Step-by-step explanation:

ssasdasdasdasdasdasda

Answer:

its c

Step-by-step explanation:

slope = 3/4 ; (2,2) Identify the slope intercept form for the line with the given slope that contains the given point.​

Answers

Answer:

y=3/4x+1/2

Step-by-step explanation:

y-y1=m(x-x1)

y-2=3/4(x-2)

y-2=3/4x-3/2

y=3/4x+1/2

Y=3/4x + 1/2. Fórmula= y=Mx+b

3x^(2)+5x-2=0

solve step by step using quadratic formula.

Answers

Answer:

x=1/3,-2

Step-by-step explanation:

5c -4c +с - 3с
Help please

Answers

Answer:

cannot factor

Step-by-step explanation:

Because they cannot be factored in any other way, we say that they cannot be factored.

Answer:

-2c

Step-by-step explanation:

5c -4c +с - 3с

-1c+c-3c

c-3c

-2c

Find the difference.
(6d+5) - (2-3d)

Answers

Answer:

=6d+5-2+3d

=9d+3

=3(3d+1)

hope it helps.

Answer:

beb gfnv mor

join fasttttt

20% of what number is 36?
Provide an exact fraction answer. (Mixed fraction) please show how you got your answer ;) Thank you in advance

Answers

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

2.248 divided by 5.62

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

Solve the following system of equations.
3x + 5y = 5
7x + 5y = 25

i need the value of x and y.

Answers

Answer:

x=5 and y=-2

Step-by-step explanation:

3x+5y=5

-(7x+5y=25)

-4x=-20

x=5

plug 5 into one of the equations. 3(5)+5y=5

y= -2

Explain how to isolate the variable in the equation−2/3+7=15. solve for n

Answers

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

B.
-2x + 8 = y
3x - y = 22

How do I solve it

Answers

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

Grace is practicing for an upcoming piano recital.
The graph shows the hours she spent practicing over a 4-week period.

Answers

Answer:

The relationship is proportional.

The points form a straight line that passes through the origin.

Step-by-step explanation:

Answer:

The pionts lie on a straight line that goes through the origin

Step-by-step explanation:

cuz i got it right

Alexis simplified 14/42 to 1/3 by using the greatest common factor (GCF) of 14 and 42

What number did alexis use?

A. 2
B. 14
C.42
D. 84​

Answers

Answer: 14

Step-by-step explanation:

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