To determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long. Then you measure the shadow cast by a 36-inch tall oak sapling and find it to be d= 12 inches long (see figure). Estimate the height of the pine tree. ​

To Determine The Height Of A Pine Tree, You Measure The Shadow Cast By The Tree And Find It To Be 20

Answers

Answer 1

Answer:

Height of the pine tree = 60 in.

Step-by-step explanation:

Since, triangle formed by the tip of the tree and tip of the shadow of the tree will be similar to each other,

By the property of similarity, corresponding sides of the similar triangles will be proportional.

[tex]\frac{x}{20}=\frac{36}{d}[/tex]

If d = 12 inches,

[tex]\frac{x}{20}=\frac{36}{12}[/tex]

x = [tex]\frac{20\times 36}{12}[/tex]

x = 60 in.

Therefore, height of the pine tree will be 60 in.


Related Questions

Enter the equation of the line in slope-intercept form.
The line parallel to y = −x that passes through (7, 2.5).

The equation of the line that passes through (7, 2.5) is y = .
2. Enter the equation of the line in slope-intercept form.

The line parallel to y =
7
4
x + 4 that passes through (−8, 0).

The equation of the line that passes through (−8, 0) is y = .

Answers

Answer:

y = -x + 9.5

this is the answer to the line parallel to y=-x that passes through (7, 2.5)

solve the equation tan(x+pi/3)=square root3/3 over the interval [0,2pi]

a. pi/6 only
b. 11pi/6 only
c. pi/6 and 7pi/6
d. 5pi/6 and 11pi/6​

Answers

Answer:

Answer D 5pi over 6 and 11pi over 6

Step-by-step explanation:

Got it wrong lol

Terrance and Teresa both work for a book store. Terrance earns $450 per week. Teresa earns $300 per week plus a 6% commission on the total sales of books she sells. In one week, if Teresa sells $2000 worth of books, who will make more money and by how much?

Answers

Answer:

Terrence will make 30 more dollars than Teresa :-)

Step-by-step explanation:

gl! <33

2. The angle measures of a triangle are shown in the diagram.

What is the value of X

Answers

Answer: The angles inside a triangle are called interior angles. ... The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.

Step-by-step explanation:

Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.

Someone pls help me! I’m so confused!

Answers

9514 1404 393

Answer:

(5, -1)(3, 1)(0, 4)

Step-by-step explanation:

Apparently, you are supposed to assume that ...

  y = g(x)

  y = 4 - x

For the one given value of x, the corresponding y value is ...

  y = 4 - 3 = 1

So, for that x-value, the table entry is (x, y) = (3, 1).

__

To find the missing x-values, you can solve the equation for x.

  y = 4 - x

  x + y = 4 . . . . add x

  x = 4 - y . . . .  subtract y

Now, for the given y-values, we can find the corresponding x:

  x = 4 -(-1) = 5   ⇒   (x, y) = (5, -1)

  x = 4 -(4) = 0   ⇒   (x, y) = (0, 4)

So, your table will be ...

3t – 2(t – 1) ≥ 5t – 4(2 + t) please help ill give the crown thingy to the first person who gives me an answer

Answers

Answer:

Infinite many solutions

Meaning there is more than one solution

Hope this helps!

Let me know if this is right.

Step-by-step explanation:

Remove the parentheses

3t-2t+2 > 5t-8+4t

t+2 > t-8

Cancel equal terms

2 > -8

The statement is true

PLEASE NOTE:That sign you are putting under this > I didn't put it so just remember to put it.

Which of the following is the last step in problem solving? A. Understand the problem. B. Check your answers and present the solution. O C. Gather your resources. O D. Come to an answer.​

Answers

B - check your answers and present the solution

How do you graph y=-10x+200 ?

Answers

Answer:

your slope is -10, and the y-intercept is 200

Step-by-step explanation:

Start at (0,200), or just 200 on the y axis. your slope is -10, or -10/200 in rise over run form. you want to go to the right one, and down 10. So make a dot at (0,200), then (1,190), then (2,180) and so on. to go in the negatives it is the opposite. left one, then up 10, so (-1, 210), then (-2,220) and so on.

You are 3 years less than twice the age of your sister. Let s be the age (in years) of your sister. Write an expression for your age in terms of your sister.

Answers

Answer:

2x-3=y

Step-by-step explanation:

let age of sister be x

my age be y

therefore 2x-3=y

What is the solution to the inequality?
12 < 8 + x
A. x>4
B. x > 20
C. x < 4
D. x< 20

Answers

Correct answer : A
Explanation :
-x<8-12
Change the signs : -x<-4
Answer : x>4
X € ( 4 , + ∞ )

Is this true or false?

Answers

Answer:

False

Step-by-step explanation:

Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel, how many buses does the transit system have?

Answers

Answer:

2214 buses

Step-by-step explanation:

Answer:

there are 1479 bus running in diesel and there are 2214 buses

Zoe owns a food truck that sells tacos and burritos. She only has enough supplies to
make 113 tacos or burritos. She sells each taco for $3 and each burrito for $6. Zoe
must sell at least $510 worth of tacos and burritos each day. If 53 tacos were sold,
determine all possible values for the number of burritos that Zoe must sell in order to
meet the requirements. Your answer should be a comma separated list of values. If
there are no possible solutions, submit an empty answer.

Answers

Answer:

58.5

Step-by-step explanation:

If you take 53 times 3 = 159

take 510 - 159 = 351

then take 351 divided by 6 = you get 58.5

The sum of Jason’s 5 quiz scores is 95. What is the
average of Jason’s quiz scores?

A.95
B.45
C.20
D.19
E.11

Answers

Answer:

A

Step-by-step explanation:

SIR HOPE THIS HELP :) MAY I GET BRAINLIST PLEASE

Using the average formular, the average value of Jason's quiz score will be 19

Using average formula:

(Sum of scores ÷ frequency)

Given the Parameters :

Sum of scores = 95 Frequency = 5

Hence,

Average = 95 / 5 = 19

Hence, the average score is 19.

Learn more : https://brainly.com/question/25568773

i dont need the work, just the answers

Answers

Answer:

64°

Step-by-step explanation:

There are vertically opposite angles and thus are equal.

1. The table and graph below show the amount of money Mi-Ling and Daniel
save each week. Who saves more each week? Explain. (Examples 1, 2, and 4)
Mi-Ling's Savings
Time (weeks)
Savings ($)
Daniel's Savings
50
ty
40
30
20
10
2
$30
Savings ($)
3
$45
4
$60
0 1 2 3 4 5
Number of Weeks

Answers

Answer:

Mi-Ling saves more money.

Step-by-step explanation:

At 3 weeks Mi-Ling has saved $45, whereas Daniel at 3 weeks has only saved $30

Precalculus to wa
Please help Ik the language

Answers

Answer:

In mathematics education, precalculus or College algebra is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

Step-by-step explanation:

Dude you can search this stuff up

1. Si las notas de Esteban en una asignatura son: 3, 4, 6, 3, 5, 5, 6, 3, 4 y de estas notas se cambia un 6 por un 7, ¿cuál(es) de las siguientes medidas de tendencia central cambia(n)? I. La moda. II. La mediana. III. La media aritmética (promedio).

Answers

Responder:

Media

Explicación paso a paso:

Primero debemos saber que cambiar el valor de 6 a 7 no puede cambiar la mediana y la moda de los datos, ya que la moda es el valor que más ocurre, que es 3, mientras que la mediana es el valor tq en el medio después del reordenamiento.

La única medida de tendencia que cambiará es la media (datos promedio)

Vamos a revisar

Encuentra la media de dos datos originales

Media = 3, + 4, + 6 + 3, + 5 + 5 + 6 + 3 + 4/9

Tamaño de muestra = 9

Media = 39/9

Media = 4,33

Si uno de los 6 se reemplaza por 7, la media se convierte en

Media = 3, + 4, + 6 + 3, + 5 + 5 + 7 + 3 + 4/9

Tamaño de muestra = 9

Media = 40/9

Media = 4,44

Podemos ver que cambió el valor medio. Por tanto, la respuesta correcta es la media.

Teniendo en cuenta la definición de media, mediana y moda, la media aritmética es la única medida de tendencia central que cambia.

Media aritmética

La media (también llamada promedio o media aritmética) de un conjunto de datos es una medida de posición central cuyo valor se obtiene al dividir la suma de todos los números entre la cantidad de ellos. Entonces, en este caso, el promedio de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+6+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,33

La media aritmética de las notas de Esteban es 4,33.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

Entonces, la media aritmética de las notas obtenidas por Esteban se calcula como:

[tex]media=\frac{3+4+7+3+5+5+6+3+4}{9}[/tex]

Resolviendo:

media= 4,44

La media aritmética de las notas de Esteban si se cambia un 6 por un 7 es 4,44. Por lo que la media aritmética (promedio) cambia.

Moda

Por otro lado, la moda de un conjunto de números es el número que aparece más a menudo dentro del grupo de datos.

En este caso, podes observar que la cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 2 veces

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

a cantidad de veces que aparece cada número es:

3: 3 veces

4: 2 veces

5: 2 veces

6: 1 vez

7: 1 vez

Debido a que el 3 es el número con mayor cantidad de repeticiones, la nota que más se repite es 3.

Entonces, podes observar que la moda es 3 y no varia si de las notas se cambia un 6 por un 7.

Mediana

Por último, la mediana es valor que se encuentra en la mitad justa entre los valores máximo y mínimo de los datos con los que se está trabajando; es decir, que al ordenar los número de menor a mayor, éste se encuentra justamente en medio de los valores.

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,6

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4.

Si de las notas de Esteban se cambia un 6 por un 7, se obtiene la serie de notas:

3, 4, 7, 3, 5, 5, 6, 3, 4

En este caso, ordenando de menor a mayor las notas de Esteban:

3,3,3,4,4,5,5,6,7

Se observa que el valor intermedio, es decir la mediana, de todas las notas de Esteban es 4. Por lo que la mediana no varia si de las notas se cambia un 6 por un 7.

En resumen

En resumen, la media aritmética es la única medida de tendencia central que cambia.

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solve for x and show work

-2(8x - 1) = 4(3x + 4)

Answers

Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

Simplify

-16x + 2 = 12x + 16

Subtract 12x from both sides

-28x + 2 = 16

subtract 2 from both sides

-28x = 14

divide both sides with -28

x = -14/28

simplify

x = -1/2

Answer:

x = -1/2

Step-by-step explanation:

-2(8x - 1) = 4(3x + 4)

-16x + 2 = 4(3x + 4)

answer this please.

Answers

Answer:

2. absolute value of p - q

Explanation:

Because when you calculate distance, you always use absolute value.

Can I get a thx and brainliest?

2. |p-q|
when you calculate the distance you use the absolute value

How do you solve linear equations with substitutions?

Answers

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Solve the following system by substitution.

2x – 3y = –2

4x +   y = 24

The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.

For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:

4x + y = 24

y = –4x + 24

Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:

2x – 3(–4x + 24) = –2

2x + 12x – 72 = –2

14x = 70

x = 5

What percent represents the part of the model shaded yellow?

A)
33.3%

B)
35%

C)
40%

D)
42.5%


Answers

Answer:

a.)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are five bars in total, and yellow takes up two bars.

Hence, the fraction is 2/5.

2/5 = 40%.

Hope this helped!

you plan to open a lemonade stand near where you live. The cost to buy the wood is $60 and the cost to make the lemonade is $3 per cup. You plan to sell each cup pf lemonade for $5. Let x be the number of cups of lemonade sold. Write a function P(x) that represents the total profit you earned from selling x cups of lemonade

Answers

Answer:

P(x)=2x-60

Step-by-step explanation:

From the information provided, the function P(x) would indicate that the total profit you earned from selling x cups of lemonade is equal to the result of multiplying the price per cup for the number of cups minus the total cost. This cost is the result of adding up the cost of buying wood plus the cost per cup for the number of cups:

P(x)=5x-(60+3x)

P(x)=5x-60-3x

P(x)=2x-60

According to this, the function is: P(x)=2x-60.

Can someone help me with this?

Answers

Answer: -4F and 3

Explanation: combine -F and -3F makes -4F and 14 - 11 = 3
-4f+3


-f + (-3f)= -4f
14-11= 3
Therefore, -4f+3

A student used the slope-intersept form to write the equation of a line that has a slope of -2 and passes through the point (-3/10, 5). The students work is shown on the left. One of the pickures has the answers.

Answers

Answer:

D. Step 6: student needed to add the b value

Explanation:

All the steps are correct and they get the b value of 4.4. Since it's positive, it should be added in the orignal equation. So, it should look like y = -2x + 4.4 instead of y = -2x - 4.4

Which describes the difference between the two sequences?

First Sequence: One-fourth, one-half, 1, 2, ellipsis

Second Sequence: One-half, 2, 8, 32, ellipsis
The first sequence is geometric because there is a common ratio of 2
The second sequence is geometric because there is a common ratio of 4.
The first sequence is geometric because there is a common ratio of 4
The second sequence is geometric because there is a common ratio of 2.
The first sequence is arithmetic because there is a common ratio of 2
The second sequence is arithmetic because there is a common ratio of 4.
The first sequence is geometric because there is a common difference of 2
The second sequence is geometric because there is a common difference of 4.

Answers

Answer:

The first option

Step-by-step explanation:

Got it right :)

Solve this diamond problem to be awarded as brainliest

Answers

Answer: -5 and 2
Because it equals 3 when added.
And -10 when multiplied.

Hun Lee is skateboarding and using energy at a rate of 400 kilocalories per hour. At what rate is Hun Lee using energy in minutes per calorie?

Answers

Answer:6.66666 kilocalories  per hour

Step-by-step explanation:

I need help on these three PLEASE!!

Answers

idek it looks difficult

Answer:

Hi... You should do like this

What unit is used to measure angles?

Answers

Answer:

Degrees.

The symbol looks like this.

°

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