Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer 1

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.


Related Questions

37. Briefly explain how the use of credit helped increase the average
American's standard of living in the 20th century.

Answers

Answer: If a person has a better credit, they have better chances of getting the job they had applied for. Getting the job means they get a stable income. Having a stable income helps a person to buy all essential needs.

Step-by-step explanation:

I’ll give 100 points

Answers

Answer:

2055 is the answer.

Step-by-step explanation:

If x represents the number of minutes and y represents the hiker elevation in feet.

y = 8.19x + 663

y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3

Hope it helps:)

Answer:

:)

Step-by-step explanation:

Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}

Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.​​

Answers

Set of ordered pairs such that the range is one less than the domain is {-4, -3, -2, -1, 0, 1, 2}The equation 1 will be y = x - 1The equation 2 will be y = x + 2

Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}

1) If the set of range is one less than the domain, the required range will be:

Range = {-4, -3, -2, -1, 0, 1, 2}

2) If the set of range is 2 more than the domain, the required range will be:

Range = {-1, 0, 1, 2, 3, 4, 5}

The table of values is given as:

x       y

-3  |  -1

-2  |   0

-1  |   1

0   |   2

1    |   3

2   |   4

3   |   5

2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)

The equation in slope-intercept form is given as y = mx + b

m = 0-(-1)/1-0

m = 1/1 = 1

Since the y-intercept is at (0, -1), hence b = -1

Substitute the given value into the formula:

Recall that y = mx + b

y = 1x + (-1)

y = x - 1

Hence the equation 1 will be y = x - 1

For equation 2, we will use the coordinate points (-1, 1) and (0, 2)

The equation in slope-intercept form is given as y = mx + b

m = 2-1/0-(-1)

m = 1/1 = 1

Since the y-intercept is at (0, 2), hence b = 2

Substitute the given value into the formula:

Recall that y = mx + b

y = 1x + 2

y = x + 2

Hence the equation 2 will be y = x + 2

4) The graph of each equation on a different coordinate plane is attached.

Learn more on graphs and functions here: https://brainly.com/question/11740855

if each quadrilateral below is a rectangle, find the missing measures. ​

Answers

Answer:

Recall each angle in a rectangle is 90 degrees.  So to find the other portion, subtract the given angle from the 90 degrees.

Step-by-step explanation:

The missing measures of the angles are as follows:

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

to determine the measures of the angles:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

m∠BCD = 90°

m∠ABD = 16°

m∠CBE = 74°

m∠ADE = 74°

m∠AEB = 148°

m∠DEA = 32°

Read more about rectangles at:

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When r= 1 , h=2.4 find r in terms of h

Answers

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

1. The price of one share of a stock fell 4 dollars each day for 8 days. How
much value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.

Answers

Step-by-step explanation:

1.

$4 for 8 days. that means $4 on each and every day, 8 times.

so, in total that is 4 × 8 = $32

that is how multiplications work.

m×n means that m is added n times (or vice versa and n is added m times).

2.

similar here.

$25 each time the customer missed a payment. and he missed 4 times that year.

the bank returned the fees for all 4 occasions. so,

returned money = 25 × 4 = $100

Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6

Answers

y=4+xy=3x+1

Graphs attached

(x,y)=(1.5,5.5)

mr polaski bought a variety pack of muffins that has 9 apple muffins. the ratio of apple muffins to blueberry muffins in variety pack is 3:5 . how many blueberry muffins are in ms polaski's variety pack?

Answers

Answer:

He has 15 Blueberry Muffins

Step-by-step explanation:

If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.

Bobby and Sue Ellan both ride their bikes to the library. Bobby’s home is 6.5 blocks from the library and Sue Ellan’s home is 1 ½ times farther from the library than Bobby’s home. How much farther must Sue Ellan ride her bike to get to the library than Bobby does?

Answers

Answer:

3.25 blocks

Step-by-step explanation:

6.5 * 1.5 = 9.75 blocks

9.75 - 6.5 = 3.25blocks

Farther 3.25 blocks sue ellan need to ride than Bobby ride

solve one step equation

5x = -15

Answers

Answer:

x=-3

Step-by-step explanation:

This is a one step solution all you do is divide 5 into -15

-15/5 = -3

so -3 = x

x = -3 | 5 multiplied by -3 is equal to -15

A shopkeeper orders a special brand of coffee powder to be delivered to
him. A packet of this coffee powder cost $2. These packets are packed into
containers which cost $3 each. Each container can hold 30 packets. A van
delivers 60 containers of this coffee powder to the shop and charges $20 for
transport, How much does the shopkeeper pay altogether?

Answers

Answer:

$3800

Step-by-step explanation:

30 x 2 = 60

60 + 3 = one container

60 containers = 63 x 60

3780 + 20

3800

Will Give Brainliest

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60 Use dist property

Subtract 3x from both sides

-3 = 3x - 60

Add 60 to both sides

57 = 3x

Divide both sides by 3

19 = x

What is the range of this graph?

Answers

The range is the y value of where the dots are located.

Answer: (3,4,5,6)

Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC

Answers

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]

[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Length of EF  = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC

= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]

Learn more about midsegment theorem of a triangle here:

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Answer plz answer !!!

Answers

Answer:

B

Step-by-step explanation:

1/4 yard long, area is 1/3 and we have to find the width so:

1/3(area) divided by 1/49(length) would get you your width

The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.

Answers

The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.

The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Reasons:

The table is presented as follows;

[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]

Based on the given table, we have that the programs are categorized based on the intended audience.

Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.

Therefore, the correct option is;

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Learn more about relative frequency table here:

https://brainly.com/question/8470699

https://brainly.com/question/3712144

Answer:

A

Step-by-step explanation:

its a

what is the equation

Answers

Answer:

y = -2x+9

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case the rate of change is -2x because each figure loses 2 blocks as it goes.

You can also see the the initial figure 1 has 9 blocks so this is our constant

With this information we can create the equation y = -2x+9

m = -2

x = x

b = 9

If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.

What is?..
1. 8 4/7 divided by 15?

2. How many 1/4-pound hamburgers can you make from 3 1/2 pounds of ground beef ?(In simplest form)

3. 3 divided by 1 1/5 plus 1/3? (Evaluate the expression. Write the answer in simplest form.)

4. 2/5 plus 2 1/6 divided by 5/6? (Evaluate the expression. Write the answer in simplest form.)

5. 6 1/2 - 7/8 divided by 5 11/16? (Evaluate the expression. Write the answer in simplest form.)



HURRYYYYYY PLEASEEEE.

Answers

Answers:

1. 4/7

2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers

3. 2 5/6

4. 3

5. 6 9/26

A function is defined as k(x)=2x^2 - 5x + 3 The value of k(-3) is

Answers

Answer:

36

Step-by-step explanation:

k(-3) = 2(-3)² - 5(-3) + 3

= 18 - (-15) + 3

= 33 + 3

= 36

If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made

Answers

Answer:

30:12

Step-by-step explanation:

Solve the equation for x.
2(2) + x = 4

Answers

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

What number comes in the blank?
20 x 47 x 5 = ____ x 100

Answers

Answer:

47

Step-by-step explanation:

20*47= 940

940*5=4,700

47*100=4,700

The correct answer should be 47.

20 x 47 x 5 = 100 x __
100 x 47 = 100 x __

Write an expression that represents 42 is the product of 6 and y

No explanation needed, just tell me the answer :)

Answers

Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

6 times 7 equals 42. It is just 6x7-42

Help!!
Question in picture!!

Answers

Step-by-step explanation:

A. monomial

B. polonomial

hope it helps.

stay safe healthy and happy.

Answer:

A= monomial

B= trinomial

Someone helppppppp. I swear I will cry for the rest of my life ;-;

Answers

3

Pentagon PQRST is 1/2 the size of ABCDE therefore, x = 3

Answer: there is no x so i can't answer it

Step-by-step explanation:

Solve the system of equations
{y= 15x+9
{y= 1/2x–20

What is the solution to the system?

Answers

[tex]y = 15x +9~~~~.....(i)\\\\y = \dfrac 12 x -20~~~ ....(ii)\\\\\\\text{Substitute equation (i) in equation (ii):}\\\\15x +9 = \dfrac 12 x -20\\\\\ \implies 9 +20 = \dfrac x2 - 15 x\\\\\implies 29 = -\dfrac{29 x}2\\\\\ \implies 1 = -\dfrac x 2\\\\\implies x= -2\\\\\text{Substitute}~ x=-2~ \text{in equation (i):}\\\\y = 15(-2) +9 = -30 +9 = -21\\\\\text{Hence}~ (x,y) = (-2,-21)[/tex]

A rock is thrown into a pool 72 inches deep. The rock sinks at a rate of 4 inches per
second (s). The rock's height (h) above the bottom of the pool is given by the
equation: h = 72 – 4s. After how many seconds will the rock be half way to the
bottom?

Answers

Half of 72 is 36. If you divided 36 by 4, you would get 9. So, s = 9 and means that it takes 9 seconds for the rock to be sunk half way.

find the distance between find the distance between following points: a) M(5,4) and N(2, 3)​

Answers

Answer:

sqrt(10)

Step-by-step explanation:

[tex] \sqrt[2]{ x_{2} - x_{1}) + ( y_{2} - y_{1})} [/tex]

Josh went to a restaurant for dinner. The cost of the
meal was $24 with a discount of $2. If the total bill includes
an 8% sales tax and a 14% tip, what is the discount
percent? What was the total bill including the tax and the
tip?

Answers

Answer:

17.41 Dollars

Step-by-step explanation:

First, you take the discount, which is 2 dollars, so now the cost without any additional costs is 22 dollars. Next, find 8 percent of 22 by multipling 22*0.08 and then you get 1.76. Subtract that from 22 and 20.24. Then take 14 percent of 20.24 by multiplying it by 0.14, which you get 2.8336. Round that down and you get 2.83. Subtract that from that and you get 17.41.

You can retry this question below
The sum of two numbers is 71. The difference of the two numbers is 41. What are the two numbers.
Let x be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 71."
Write an equation that expresses the information in the sentence "The difference of the two
numbers is 41."
Solve the system you have written above.
The larger number, x is
The smaller number, y is
Calculator

Answers

Answer:

x = 56

y = 15

Step-by-step explanation:

"The sum of two numbers is 71."

x + y = 71

"The difference of the two  numbers is 41."

x - y = 41

Solve the system:

From the first eq.

x = 71 - y

Replacing this value in the second eq.

(71-y) - y = 41

71 - 2y = 41

71 - 41 = 2y

30 = 2y

y = 30/2

y = 15

From the second eq.

x - y = 41

x - 15 = 41

x = 41 + 15

x = 56

Check:

from the first eq.

x + y = 71

56 + 15 = 71

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