Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet tall, how tall is the tree?

Answers

Answer 1

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

[tex]\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}[/tex]

[tex]\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}[/tex]

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft


Related Questions

Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.

Answers

[tex]65 \div 5 = 87 \div 3 \\ 15 = 29[/tex]

So, False

Answer:

The equation is false

Step-by-step explanation:

65 ÷5 = 13

87 ÷ 3 = 29

13 and 29 are not equal thus making the equation false.

2x² + 3 = 39 extracring square roots

Answers

Answer:

x=9

Step-by-step explanation:

first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18

Answer:

x = ± 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

2x² + 3 = 39 ( subtract 3 from both sides )

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± ( [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] ) = ± 3[tex]\sqrt{2}[/tex]

HELPPPPP MEEEEE PLEASEEEE

Answers

Answer:

I don't know sooooooooop

mark me as brainliest ok understood

I’m not sure that you’re able to put in the boxes as there is no picture of thst but i believe
Red line: Y=-1/3x+2
Blue line: Y=3/2x3

What are the next two numbers in the pattern

Answers

64, 128
the pattern is just doubling the previous number

Answer:

64, 128..

Step-by-step explanation:

each number gets doubled to get the next number

Select the three equations that match the model.

Answers

9+?=14

?=14-9

9=14-?

all others do not work

2) Look at the sequence below. List the next three terms of the sequence. 4, 8, 16, 32,...​

Answers

Answer:

64, 128, 256

Step-by-step explanation:

Answer: 4, 8, 16, 32, 64, 128, 256

The other 3 terms of the sequence are 64, 128, 256, which means that the full sequence is 4, 8, 16, 32, 64, 128, 256. Each number was multiplied by 2. 4 * 2 = 8. 8 * 2 = 16. 16 * 2 = 32, etc...

Step-by-step explanation:

Hope this helps.

Find the value of x.

Answers

Answer:

75° = x°

Step-by-step explanation:

there are 4 right angles

so with the line being linear, the angle on each side is 15°. so you take

90° (right angle) - 15° (the inside angle) = 75°. or the outside angle

do 75 + 15 to check

Answer:

x=75°

Step-by-step explanation:

AG`D=90°

FG'D =15 vert. opp.angl

90-15=75

pleas help it is in the screenshot

Answers

Answer:

10) 8.4

11) 25.6

Step-by-step explanation:

10)

[tex]\cfrac{7}{10}=\cfrac{x}{12}[/tex]

[tex]x=12\times \cfrac{7}{10}[/tex]

[tex]=8.4[/tex]

11)[tex]\cfrac{8}{5} =\cfrac{x}{16}[/tex]

[tex]5\times x=8\times 16[/tex]

[tex]\cfrac{5x}{5} =\cfrac{128}{5}[/tex]

[tex]x=25.6[/tex]

Hope it helps! :)

Line m passes through points (10, 4) and (1, 6). Line n passes through points (1, 11) and (10, 9). Are line m and line n parallel or perpendicular

Answers

Answer:

Parallel

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

.
What is the name of the perimeter of a circle?
Length
Circumference
Perimeter
Width

Answers

Answer: circumference

Step-by-step explanation: you’re welcome

Answer:

circumference because it

Can someone Help me with this pls

Answers

Answer:

You need to add 30+21=51 Students

51 you just had to add the two numbers

in the calendar analogy, what month did Eukaryotes appear? A. may B. february C. July D. December

Answers

Answer:

B. February

Step-by-step explanation:

I just took a test on this, and the answer was February. Hope this helped and wasn't too late.

Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used? Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used?
Kaleigh
4(3x + 2) = 8x + 4
12x + 8 = 81 +4
4x = -4
x = -1
Destiny
4(3x + 2) = 8x + 4
4(3x + 2) 8x + 4
4
4
3x + 2 = 2x + 1
x = -1​

Answers

Answer:

who's asking?

Step-by-step explanation:

PLSSS ANSWER ITS FOR A TIMES TEST.......Lee's bank balances at the end of months 1, 2, and 3 are $1600, $1640, and $1681.
What will Lee's balance be at the end of month 5?

Answers

The answer would be $1766. From month 1-2 he gained 40 dollars. From month 2-3 he gained 41 dollars. So assuming his balance goes up another dollar each month you would add $42 and then ad $43. Which would add up to $1766.

solve this on a piece of paper so it can be great to understand thankyou.

8x+4y=8 and 2x+y=4


Answers

Answer:

1. x = -1/2y + 1

y = 2x + 2

2. x = -1/2y + 2

y = 2x + 4

Describe the direction in which each object will accelerate. If the object won’t accelerate, write “no acceleration.” Explain what might be happening to each object in terms of its overall motion. (Will give the right answer brainillesit)

Answers

Answer:

The object will have a positive acceleration of 100N and it will travel up.

Step-by-step explanation:

300N - 200N = 100N

Therefore, 300N has greater value making the air balloon travel upwards toward the sky.

Which graph represents a system of equations with one solution?​

Answers

Step-by-step explanation:

none of the graphs that we can see here.

the first are 2 parallel lines. they never cross, so there is no solution at all.

and the second one is seemingly only one line. well a line goes on infinitely, and every point on it is a solution to the line equation. so, this has infinite many solutions.

Please need the answer

Answers

Answer:

A. True

B. True

C. False

Step-by-step explanation:

Hope that helps!

Plls help
What is DE

Answers

Answer:

DE= 4.24

Step-by-step explanation:

A^2 + B^2 = C^2 Pythagorean theorem

(3)^2 + (3)^2 = C^2

9 + 9 = C^2

18 = C^2

√18 = √C^2

4.24264 = C

Solve for x and y.


You will have to show your work to get brainliest!

Answers

Answer:

For ∆1 , x = 20 , y = 10√2

For ∆2 , x = y = 11

Step-by-step explanation:

Here in the first right angled triangle one of the angles is 45°. And one of the known side is 20 . We need to find out the value of x and y.

Since two angles are 90° and 45° , therefore the third angle will be 45° . And as we know that the sides opposite to equal angles are equal. Therefore ,

[tex]\rm\longrightarrow \underline{\underline{ x =20}}[/tex]

Again , we use ratio of sine to find y , as ,

[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]

[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{20}{y}\\ [/tex]

[tex]\rm\longrightarrow y =\dfrac{20}{\sqrt2}=\dfrac{2\times 10}{\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow \underline{\underline{ y = 10\sqrt2}} [/tex]

[tex]\qquad\rule{200}2[/tex]

Again , in the second Triangle , we may use ratio of sine to find the value of y , as ;

[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]

[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{y}{11\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow y =\dfrac{11\sqrt2}{\sqrt2}\\ [/tex]

[tex]\rm\longrightarrow \underline{\underline{ y = 11}} [/tex]

Again , we know that the sides opposite to equal angles are equal . Therefore here ,

[tex]\rm\longrightarrow \underline{\underline{ x =11}}[/tex]

What does it mean to say a polynomial is in factored form.

Answers

b

Step-by-step explanation:

Need answers for 3 and 4 please.

Answers

Here is the answer!!

Solve for y
2(y + 2) = 62(y+2)=6

Answers

Answer:

y=-8

Step-by-step explanation:

2y+4=62y+124=6

2y-62y=124-4=6

-60y=120=6

divide both side by -60

y=120/-60=6

y=-2=6

y=-2-6

y=-8

3. A scientist recorded the movement of a pendulum for a period of time. The scientist began recording when
the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left
(negative displacement) several times. The pendulum took 5 s to swing to the right and then return to its
resting position. The pendulum's furthest distance to either side was 7 in. Graph the function that represents
the pendulum's displacement as a function of time.
(a) Graph the function (include at leaſt one full cycle).
(b) Write an equation to represent the displacement of the pendulum as a function of time.

Answers

Anserr:

put c trust, its always the right answer

Jenny works at Publix where she makes $10 an hour. she works 5 hour ships 6 days a week . Create an expression that shows how much money jenny makes in 3 weeks

Answers

Answer:

(10)(5)(18)

Step-by-step explanation:

10= $/hr

5 = shifts

18 = number of days

Answer:

Step-by-step explanation:

$10/hr x 5 hrs x 6 days x 3 wks

10 x 5 = 50

50 x 6 = 300

300 x 3 = 900

She earns $900 in 3 wks.

Um cant figure out the second question

Answers

Answer:

  £15

Step-by-step explanation:

There are 3 ways to get 7 out of the 12 possible outcomes, so the probability a player will win 30p is 1/4. That is a player will have expected winnings of (1/4)(30p) = 7.5p each time the game is played.

The school gains 20p from each player, but has an expected payout to the player of 7.5p, so the net gain per game to the school is ...

  20p -7.5p = 12.5p

The gain to the school when 120 people play is ...

  (120)(12.5p) = 1500p = £15 . . . . expected to be raised

Enter answer as a decimal ex: 42.53

Answers

21 rounded to the nearest hundredth is 21.00!

Answer:

The probability of pulling a green marble is 0.58 (58%).

Step-by-step explanation:

Total marbles: 36

Purple marbles: 15Green marbles: 21

[tex]\frac{21}{36} = 0.58[/tex]

Help please!!! I really don’t know how to do this!

Answers

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

Use the graph of speed versus time to answer the questions about acceleration.



Which of the cars is speeding up? ______



Which of the cars is slowing down? ______



Which of the cars is maintaining a constant speed? ______

Answers

The car that is speeding up is car A.

The car that is slowing down is car C.

The car that is maintaining a constant speed is car B.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

From the graph, we see that,

Car A speed is increasing with time.

Car B is maintaining a constant speed with time.

Car C is decreasing its speed with time.

Thus,

Car A is speeding up.

Car C is slowing down

Car B is maintaining a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

Answer:

Step-by-step explanation:

The graph shows the amount of protein contained in a certain brand of peanut butter.







​Which statement describes the meaning of the point on the graph?

A

There are 666 grams of protein per tablespoon of peanut butter.

B

There are 303030 grams of protein per tablespoon of peanut butter

C

There are 666 grams of protein in 303030 tablespoons of peanut butter.

D

There are 303030 grams of protein in 666 tablespoons of peanut butter.

Answers

The answer is D!
Please give brainiest!
Other Questions
Simplify the following without a calculator ( a) 3 3 (b)( 27) (c) 36 46 Jessica wants to build a display shelf similar to the diagram below. She knows that AABC is similar to A ADE. Using the dimensions on the diagram, what will be the length of the shorter shelf (x) in inches? Find the diameter of the circle with the given circumference. Use 3.14 for C =17cm School yearbooks cost $23. Fifty-six yearbooks have already been sold. How many more yearbooks x must be sold to earn at least $2001? Write your answer as an inequality. How many men does Grendel eat the first night What is the sum of the measures of the interior angles of a 20-sided figure?. Recommendation about soil erosion Describe how the four most common chemicals weather materials. Provide examples I NEED HELP ASAP!!!! A sample of the alloy electrum is 62% silver and 38% gold by mass; mass of part/mass total 100%. What is the ratio of the number of silver to gold atoms? 25 Pointsll. "SUMMARIZE KEY INFORMATION FROM A TEXT"A. Box the main idea and underline the supporting details in the paragraphs below.1-2. Homeless people have many problems. It's hard to stay warm and it gets too hot in summer. It's also hard to keep things safe without a home. Worst is the lack of privacy.2-3. Janice is a good dancer. She represent their sections in many contest. She won multiple times that's why many admire her. Aside from singing and dancing, she is also good at painting, swimming, and acting. Janice is a very talented girl. B. construct a 4-5 sentence paragraph thinking of the things that you want to do on your birthday with your family. Use supporting details to make your story clear and interesting.1-5. _____________________________________________________________________________________________________________________________________________________________. Which of the following shows the correct order of a life cycle for an animal? Egg Adolescent Infant Adult Embryo Egg Embryo Infant Adolescent Adult Embryo Egg Infant Adult Adolescent Infant Adolescent Adult Embryo Egg Find a polynomial f (x) of degree 4 that has the following zeros.0, -8 (multiplicity 2), 7Leave your answer in factored form. 5) Using FIGURE 1, the Appalachian Trail does NOT go through which site?A) Newfound GapB) Mount Le ConteC) Charlie's BunionD) Clingman's Dome Learning Task 2 This time, read an excerpt from President Manuel L. Quezon's speech. In pad paper, write down three (3) statements indicating factual information three (3) statements expressing subjective content from the speech. [Radiocast from Malacaang Palace, Manila, on Rizal Day, December 30, 1937] My Fellow-Citizens: It affords me an indescribable satisfaction to be able to announce to you that on this the 41st anniversary of the martyrdom of the founder and greatest exponent of Philippine nationalism, I had the privilege of issuing, in pursuance of the mandate of the Constitution and of existing law, an Executive Order designating one of the native languages as the basis for the national language of the Filipino people. When a diagnosis tells the clinician what is likely to happen over the course of the disorder and the likely effect of treatments, the diagnosis has Sandra bought 4 pounds of sweet potatoes for $5.36. What is the cost per pound of the sweet potatoes? Read the excerpt from The People Could Fly All them alligators fall in the river, heads over heels. They so hot-boiled, the water go swiiishshshpsssst when they hit it and steam come up like fog. What do the details in this excerpt most help readers visualize? what the water smells and tastes like when the alligators fall into it how long and loudly the young alligators cry after they are burned how red and raw the young alligators skin is after they are burned what the alligators sound and look like when they fall into the water. Write an equation in slope-intercept form for the line with slope -3 and y -intercept -2 . Then graph the line. What step, on the stairway to lifetime fitness, health, and wellness, is practicing self directed-healthy lifestyles on? Question 2 options: Level of Dependence Level of Decision Making Level of Independence.