Measure the height of the palm tree indirectly using a mirror that is placed on the ground a certain distance away from the tree. The distance from the
mirror to the base of the palm tree is 2.5 m and the distance from the mirror to the person's foot is 0.5 m. The person is 1.78 m tall.

Measure The Height Of The Palm Tree Indirectly Using A Mirror That Is Placed On The Ground A Certain

Answers

Answer 1

Answer:

  (b)  8.9 m

Step-by-step explanation:

The mirror ensures that angle 1 is congruent to angle 2, so the triangles in the diagram are similar. The ratios of height to mirror distance are proportional.

__

setup

The height of the object is proportional to its distance from the mirror, so we have ...

  (tree height)/(tree-to-mirror) = (person height)/(person-to-mirror)

  (tree height)/(2.5 m) = (1.78 m)/(0.5 m)

solution

Multiplying this proportion by 2.5 m, we find ...

  tree height = (2.5 m)(1.78/0.5) = 8.9 m

The height of the palm tree is 8.9 meters.


Related Questions

in a dilation, what is preserved and what is altered?

Answers

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

Loss = 10% VAT=13% SP WITH VAT=25,425 now calculate CP

Answers

The cost price of the product will be 25000.

How to calculate the price?

From the information given, the cost price is 25000. The loss is 10%. This will be:

= 25000 - (10% × 25000)

= 25000 - 2500

= 22500

The tax is 13%. This will be:

= 22500 + (13% × 22500)

= 22500 + 2925

= 25425

Learn more about price on:

brainly.com/question/1153322

#SPJ1

i need help filling in the blanks
Complete the steps to solve the equation above.




2x + 5 = 4x - 1


+ +


After adding on both sides, the equation looks like this:


2x + = 4x




Now it's time to the combine like terms and .


2x + = 4x




- -


After subtracting on both sides, the equation looks like this:


=




Finally, we divide by on both sides, and we have solved the equation!


x is equal to .

Answers

The 3 steps to solve the algebra equation have each sub step as explained and written below.

How to solve algebra problems?

We are given the algebraic equation;

2x + 5 = 4x - 1

Step 1; After adding 1 to both sides, we have;

2x + 5 + 1 = 4x - 1 + 1

2x + 6 = 4x

Step 2; We subtract 3x from both sides to get;

2x - 2x + 6 = 4x - 2x

2x = 6

Step 3; Divide both sides by 3 to get;

2x/2 = 6/2

x = 3

Read more about solving algebra problems at; https://brainly.com/question/4344214

#SPJ1

!!!!PLEASE HELP FAST !!!!

Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt

Answers

Answer:

C) 10320-0.961 = 7,507 Mt

that is my answer please have a great day

Think about the zoo meals in another way. Many different foods are prepped in the commissary for the
animals. Though each animal has a very specific combination of foods, there may be foods repeated in diets
for different animals. For example, cabbage may be used in the morning meals for 20 different animals. If
the food is the input, and the animal is the output, is this relationship a function?

Answers

Answer:

89

Step-by-step explanation:

this is hard for me could smone help me ASAP please?

Answers

Answer:

x is 90°

y is 56°

Step-by-step explanation:

Concepts used :

The angle subtended by a diameter inside the circle is always 90° .

Sum of interior angles of a triangle is 180°.

Here x is the angle subtended by the diameter of the circle therefore ,

x is 90°.

let the end points of diameter  as A , B

and the point where the it subtends the 90° angle be C

using interior angle property on the triangle  ΔABC

90° + 62° + ∠A = 180°

152° + ∠A = 180°

∠A = 180° - 152°

∠A  =  28°

now let he midpoint of diameter as D

as the sides DC and DA are radius of circle  and therefore equal

so using isosceles triangle property which states that angle opposite to equal sides are equal

so the angle ∠ACD = 28°

now using exterior angle property on ΔADC

y = 56°

learn more about triangles on

https://brainly.com/question/2773823

#SPJ10

Two piecewise functions are shown below. What is the value of
6f (-2) + 3g (1)?
f(x) =
0-7
O-25
1/3
O 18
{
-3x
*+2'
if x < -2
³, if x ≥-2
(2|x-1| +3,
-5√x+3-1,
g(x) =
={
if x ≤ 1
if x > 2

Answers

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.

Answers

Answer:

k=7,y=2.33 and y=k/x^2

Step-by-step explanation:

y=k/x^2

7=k/1

k=7

y=k/x^2

y=7/3

y=2.33

hope it helpful

Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? Tara has a box of 908 beads for making bracelets . She wants to put 15 beads on each bracelet she makes . What is the greatest number of bracelets Tara can make with these beads ?​

Answers

Answer:

Tara can make 60 bracelets.

Step-by-step explanation:

908 / 15 = 60.5

Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2

Answers

An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

What is the branch of mathematics developed by isaac newton called today?.

Answers

Answer: Calculus.

Step-by-step explanation: He created calculus.

Solve |2x - 6| < 10

{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}

Answers

0 lakalallalallllala

Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2

Answers

Answer:

A. x < -4 or x > 0

Step-by-step explanation:

[tex]|x+2| > 2\iff x+2 > 2\ \vee\ x+2 < -2[/tex]

subtract 2 from both sides

[tex]x > 0\ \vee\ x < -4[/tex]

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.


If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5

Answers

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Answer:

1) f(x) is one - to - one function2) 2

Step-by-step explanation:

inverse of f(x)

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

g(x) = inverse of f(x)

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

Therefore f [g(2)] = 2

How would you describe the red paths pictured below? ( The picture above)


A. Perpendicular

B. None are correct

C. Parallel

D. Intersecting

Answers

Answer:

perpendicular

Step-by-step explanation:

A. Perpendicular :)

yw

Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)

Answers

The simplest form of the given expression is 5x^3-5x^2.

We have given that

[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)[/tex]

We have to determine the simplest form of the given expression.

What is the distributive property?

The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.

Use the distributive property we get,

[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\[/tex]

Add like terms we get,

Therefore we get,

[tex]=5x^3-5x^2[/tex]

Therefore the simplest form of the given expression is 5x^3-5x^2.

To learn more about the  expression visit:

https://brainly.com/question/723406

#SPJ1

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively

Answers

The volume of the rectangular prism is 36/125 cm³.

What is the volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

3/5 x 4/5 x 3/5 = 36/125 cm³

Here is the complete question :

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?

To learn more about rectangular prisms, please check: https://brainly.com/question/8890358

#SPJ1

Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step

Answers

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

Please mark brainliest and click thanks.

Hope this helps!

this is not the answer i was looking for

Answers

oh okay sorry about it

Solve the equation for x by graphing.
-2x − 3 = 3x + 2

Answers

See attached photo. Have a nice day.

What is necessary to determine the z-score for a raw score in a particular set of scores?.

Answers

Answer:

See below

Step-by-step explanation:

The mean score and the standard deviation are needed

The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth

Answers

Answer:

  28.2

Step-by-step explanation:

The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.

__

graphing aid

The values computed by the graphing program in the attachment add up to 28.2 units.

__

using algebra

The length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...

  d = √(rise^2 +run^2)

  HI = √((-4)^2 +10^2) = √116 ≈ 10.770

  IJ = √(1^2 +12^2) = √145 ≈ 12.042

  JH = √(5^2 +2^2) = √29 ≈ 5.385

The perimeter is the total of the lengths of the sides:

  P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197

To the nearest tenth, the perimeter is 28.2 units.

50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.

Answers

The measure of angle AVB = 131 degree .

What is a Ray ?

A line with a starting point but extends upto infinity in one direction.

It is given that

Measure of angle AVF = 32

the measure of angle FVB = 2x + 9

the measure of angle AVB = 3x - 4

The angle AVB = AVF + FVB

this can be written as

3x- 4 = 2x+9 +32

x = 32+9+4

x = 45 degree

Therefore the measure of AVB = 3*45-4 = 131 degree

To know more about Ray

https://brainly.com/question/17491571

#SPJ1

Given log subscript 4 baseline 3 almost-equals 0.792 and log subscript 4 baseline 21 almost-equals 2.196, what is log subscript 4 baseline 7?

Answers

The value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

We are given the logarithmic functions:

log₄3 = 0.792 ,,, (i), and log₄21 = 2.196 ... (ii),

and we are asked to find the value of the logarithmic function log₄7.

On subtracting (i) from (ii), we get:

log₄21 - log₄3 = 2.196 - 0.792.

Using the quotient law of logarithms, according to which:

logₓa - logₓb = logₓ(a/b), we can write the above equation as:

log₄(21/3) = 1.404,

or, log₄7 = 1.404.

Therefore, the value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

Learn more about logarithms at

https://brainly.com/question/11707281

#SPJ4

Answer:

A.

1.404

Step-by-step explanation:

Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

1/6

Step-by-step explanation:

the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6

Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = rt, how far away is a thunderstorm when you notice a 3- second delay between the flash of lightning and the sound of thunder? Lightning quickly heats the air causing it to expand , which produces the sound of thunder . Sound travels approximately 1 mile in 5 seconds . Knowing D = rt , how far away is a thunderstorm when you notice a 3 second delay between the flash of lightning and the sound of thunder ?

Answers

Answer:

every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away

Hope This helps!

p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10

Answers

[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

To find - value of p if the values of a and f are increased by 10

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~

Choose the variable expression that matches this phrase.
the sum of the number of crew members on the tour boat and the 5
passengers.
A. 5-c
B. 5c
C. 5+ c
D. 5÷c

Answers

The sum of the number of crew members (c) on the tour boat and the 5 passengers is 5 + c. Then the correct option is C.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The sum of the number of crew members (c) on the tour boat and the 5 passengers.

This can be written as in the form of the mathematical form.

⇒ 5 + c

Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ1

Math word problems please help

Answers

Answer: leave the math class

In question 1, you found the cubes of both positive and negative numbers. Does x3 = 8 have two solutions as x2 = 4 does? Why or why not?

Answers

No it doesn’t. This is because if you have a negative number and multiply it by itself 3 times, you’ll still have a negative number (-1 times -1 times -1 is still -1). On the other hand, if you take a negative number and multiply it by itself twice (-1 times -1) you’ll have the answer that is positive (1).
Other Questions
Express ratio 3.5:14 as 1:n Identify the Property of Equality that is used in each statement.If x=2, then 2x = 4.5= 3a; therefore, 3a = 5.If T=4, then 5T + 7 equals 27.If 9 = 4x and 4x = m, then 9 = m. Review the role of two archaeologists whose work is discussed in this chapter. What specific contribution did they provide to the recovery, reconstruction, and interpretation of the artifacts from the prehistoric Aegean? Conduct research to find at least one other historical society whose "material culture" was discovered in a similar manner. Cite your source. Which is not an effective organizing principle for the study of history?Aeras B.major time periods C.topics D. warsE. year-by-year accounts A sequence of numbers begins with 12 and progressesgeometrically. Each number is the previous numberdivided by 2.Which value can be used as the common ratio in anexplicit formula that represents the sequence?N/H0206O 12 Tawny wrote an expression to represent the quotient of 82 and a number, decreased by 26. She then evaluated the expression when n = 2. Which statements are true about the expression and its value? Check all that apply.The correct expression is 82 minus StartFraction 24 Over n EndFraction.To evaluate the expression, subtract 26 from the quotient.To evaluate the expression, subtract the quotient from 82.The correct expression is StartFraction 82 Over n EndFraction minus 26.The operations include division and subtraction.To evaluate, substitute 24 for the variable in the equation.The value of the expression is 15. To what extent is there anything positive to be said for bureaucratic structures? Select a large-scale organization of your choice and suggest ways in which it displays characteristics of a bureaucracy What types of isolation lead to the formation of new species?Help ASAP!!!!I need to turn it in as soon as possible.you have 30min to figure this out.Thank you :) Solve x+ 2y = -2 Im really confused A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin Pool A starts with 300 gallons of water. It has a leak and is losing water at a rate of 6 gallons of water per minute. At the same time, Pool B starts with 400 gallons of water and also has a leak. It is losing water at a rate of 10 gallons per minute. The variable t represents the time in minutes. After how many minutes will the two pools have the same amount of water? How much water will be in the pools at that time? If a varies directly as the square of b, and a = 4 when b = 3, find a when b = 2 what is the size of the rc.conf file in bytes Mrs. Turner is comparing her employers retiree insurance to Original Medicare and would like to know which of the following services Original Medicare will cover if the appropriate criteria are met? What could you tell her? y>-3x +3y 2x-2O (1,0)O (-1,1)O(2,2)(0,3) The properties of water are an essential part of what makes water unique. What effect does the properties of water have on Earths surface and its systems? Jacob spends 13/4 dollars to paint 9/3 square feet. Find the cost to paint asquare feet per dollar. Throughout the week, Lavonda has kept a food and activity log. She has consumed 14,000 calories this week. She has burned 12,000 caloriesthis week. If she continues on this same trend for the next 10 weeks, what is MOST likely to happen?OA Lavonda will become dehydrated.OB.Lavonda's weight will never change.OC.Lavonda will lose weight.O D.Lavonda will gain weight. What are some characteristics of primates? Which statement is true about Siddhartha, the novels main character?The Siddhartha in the novel was a real person.It is a reliable biography of Siddhartha Gautama.His actions and words were imagined by Hermann Hesse.He is identical to the author.