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.
Answers
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
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
i dont need the work, just the answers
Answers
Answer:
64°
Step-by-step explanation:
There are vertically opposite angles and thus are equal.
Is this true or false?
Answers
Answer:
False
Step-by-step explanation:
What unit is used to measure angles?
Answers
Answer:
Degrees.
The symbol looks like this.
°
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
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.
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.
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?
when you calculate the distance you use the absolute value
What is the solution to the inequality?
12 < 8 + x
A. x>4
B. x > 20
C. x < 4
D. x< 20
Answers
Explanation :
-x<8-12
Change the signs : -x<-4
Answer : x>4
X € ( 4 , + ∞ )
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:
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
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
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!
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
Because it equals 3 when added.
And -10 when multiplied.
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
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 ...
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 = 5Hence,
Average = 95 / 5 = 19Hence, the average score is 19.
Learn more : https://brainly.com/question/25568773
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 aritméticaLa 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.
ModaPor 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.
MedianaPor 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 resumenEn resumen, la media aritmética es la única medida de tendencia central que cambia.
Aprende más con estos ejemplos:
brainly.com/question/24086990?referrer=searchResults brainly.com/question/15969676?referrer=searchResults brainly.com/question/17010976?referrer=searchResultsI need help on these three PLEASE!!
Answers
Answer:
Hi... You should do like this
Can someone help me with this?
Answers
Explanation: combine -F and -3F makes -4F and 14 - 11 = 3
-f + (-3f)= -4f
14-11= 3
Therefore, -4f+3
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.
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
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 $5. Let x be the number of cups of lemonade sold. Write a function P(x) that represents the total profit you earned from selling x cups of lemonade
Answers
Answer:
P(x)=2x-60
Step-by-step explanation:
From the information provided, the function P(x) would indicate that the total profit you earned from selling x cups of lemonade is equal to the result of multiplying the price per cup for the number of cups minus the total cost. This cost is the result of adding up the cost of buying wood plus the cost per cup for the number of cups:
P(x)=5x-(60+3x)
P(x)=5x-60-3x
P(x)=2x-60
According to this, the function is: P(x)=2x-60.
solve the equation tan(x+pi/3)=square root3/3 over the interval [0,2pi]
a. pi/6 only
b. 11pi/6 only
c. pi/6 and 7pi/6
d. 5pi/6 and 11pi/6
Answers
Answer:
Answer D 5pi over 6 and 11pi over 6
Step-by-step explanation:
Got it wrong lol
Enter the equation of the line in slope-intercept form.
The line parallel to y = −x that passes through (7, 2.5).
The equation of the line that passes through (7, 2.5) is y = .
2. Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
4
x + 4 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = .
Answers
Answer:
y = -x + 9.5
this is the answer to the line parallel to y=-x that passes through (7, 2.5)
1. The table and graph below show the amount of money Mi-Ling and Daniel
save each week. Who saves more each week? Explain. (Examples 1, 2, and 4)
Mi-Ling's Savings
Time (weeks)
Savings ($)
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
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)
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