Cameron is 1.85 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 21.55 meters. He stands 16.6 meters away from the tree, so that the tip of his 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

The height of the tree can be found by establishing a proportional relationship between the heights and the shadows of the tree and Cameron and the height of the tree to the nearest hundredth of a meter is 2.40 m.

Proportional relationship

Proportional relationships are relationships between two variables where their ratios are equivalent.

Therefore, we will establish a proportion to find the height of the tree.

Cameron height = 1.85 m

Tree shadow = 21.55 m

Cameron shadow length = 16.6 m

height of the tree = x

Therefore,

1.85 / x = 16.6 / 21.55

16.6x = 21.55 × 1.85

x = 39.8675 / 16.6

x = 2.40165662651

x = 2.40 m

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Related Questions

The price of gas increased from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

The percent increase would be about 55%

can y’all please helpppp , i’ll give brainliest

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0

In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x

that is :

[tex]\qquad \sf  \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]

Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.

Answers

The probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]

Hence the probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

To learn more about the probability link is given below.

https://brainly.com/question/795909

Answer:

Option D is the correct answer

Step-by-step explanation:

D. [tex]\frac{1}{5}[/tex]

A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected

Answers

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

To know more about probability click the link given below.

brainly.com/question/11234923

#SPJ4

A computer valued at $6500 depreciates at a rate of 14
.3% per year. Determine the value of the computer
after 5 years.

Answers

Answer:

A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.

So, 6500(0.857)3 = $4091.25


What is the area and perimeter for this ?

Answers

area : 282.8 perimeter : 68.4 if not then i might have done sum wrong

Answer:

Step-by-step explanation:

The area of a parralelogram is B*H

Base is 20.2

Hight is 12

20.2*12=242.4

Perimeter is the sum of all sides

20.2*2+12*2=64.4

Ashley ate Mexican food 4 out of 7 days on her vacation. If her vacation was 35 days, how many days did she eat Mexican food?

31

21

20

28

Answers

The number of days Ashley ate Mexican food while on vacation is 20 days.

How many days did Ashley eat mexican food?

The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7

4/7.

The second step is to multiply 4/7 by 35

4/7 x 35= 20 days

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ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help

Answers

Answer:

I think it might be 30pi m or 94.2 m.

Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do  C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.

How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.

Answers

Answer:

1 min- 60 secs

2 mins- 120 secs

3 mins- 180 secs

Step-by-step explanation:

If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.

1x60=60

2x60=120

3x60=180

Find the measure of the missing angle in this isosceles triangle.

Answers

The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.

What is an Isosceles triangle?

An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.

The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.

55 + 55 + a = 180

Recall the sum of angle in a triangle is 180 degrees.

110 + a = 180

subtract 110 from both sides

110 - 110 + a = 180 - 110

a = 70 degrees

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Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ? ​

Answers

Answer:

13

Step-by-step explanation:

The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.

Are my answers correct?

Answers

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7ft to 1in. The dimensions of the deck are 28ft by 17.5ft. What are the dimensions of the deck in the drawing? show your work.

Answers

Answer:

4 inches by 2.5 inches

Step-by-step explanation:

The scale factor is 7 feet/1 inch.

This can be written as  7'/1" or as 1"/7'

28 feet converts to (28')*(1"/7') = 4"

17.5 feet converts to (17.5)*(1"/7') = 2.5"

The drawing dimensions are 4 inches by 2.5 inches.

Answer:

Step-by-step explanation:

A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?

Answers

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

This is a pythagorean theory question

If this is a right triangle (meaning one of the angles in the triangle is 90 degrees) then the lengths of the sides should make the formula true.

a^2 + b^2 = c^2 (c being the longest side or hypotenuse)

so plug in the lengths and prove or disprove the statement.

(63)^2 + (64)^2 = (85)^2

3969 + 4096 = 7225

8065 = 7225 false

The answer is NO it is not a right triangle.

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

PLEASE HELP ASAP 30 POINTS!!!!!!!!!

Answers

Answer:

$11.25

Step-by-step explanation:

multiply 15 by 25% which is .25

15 * 0.25 = 3.75

minus 3.75 from 15

15 - 3.75 = 11.25

Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now?

Answers

The new value of the stock after the percentage decrease and increase is  $3666.60.

What is the new value of the stock?

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

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Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point

Answers

The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

How to calculate the distance?

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

Learn more about distance on:

https://brainly.com/question/17273444

Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

AYUDA ES PARA HOY ayudaaaaaaaaaa

Answers

La respuesta seria -4

Answer:

The answer is 12

Step-by-step explanation:

What strategies can I use to help me understand and represent real situations involving linear relationships?

Answers

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:

a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue

Answers

Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:

20 - 45

n - 2000

Applying cross multiplication:

45n = 20 x 2000

n = (20 x 2000)/45

n = 889.

889 students would be expected to prefer painting over scultuprue.

More can be learned about proportions at https://brainly.com/question/24372153

Mar 31, 2:56:59 PM
Ryan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.75 hours and charged him $192 for parts.
The total was $398.25. Which equation could be used to represent
the context if x represents the cost of labor per hour?

Answers

3.75x+192=398.25 is how much the technician earns

Find the height of a triangular pyramid with a volume of 13 m and a base area of 7 m

Answers

Answer:

h = 0.79591836734694 m

Step-by-step explanation:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $300 each, and the laptop computers cost $350 each. How much would it cost to buy 18 notebooks and 12 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?

Answers

Answer:

$9,600

Step-by-step explanation:

notebook computer : $300

laptop computer : $350

18 x 300 = 5,400

12 x 350 = 4,200

4,200 + 5,400 = 9,600

Can someone please help me

Answers

Answer:

Hence corre ctophon is (A)

Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi

Answers

Answer:

314

Step-by-step explanation:

This is because the area is r^2*3.14

The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?

Answers

Your missing the diagram. Thus, I will try my best to help

Answer/Step-by-step explanation:

Given;

The diagram below shows how much time Antoine spends doing different activities each day.

How many hours does Antoine sleep in a day?

Solve;

To find how many hours does Antoine sleep in a day;

24 hour × percent of hour sleep = Hours sleep in a day

The sleeping hours = 24h × % = Hour

If you still do not understand please shown the diagram!

~Learn with Lenvy~

PLEASE HURRY NEEDED ASAP

Answers

Answer:

1: Is a function

2: Isnt a function

3: Is a function

4: Isnt a function

Reminder: Functions CAN"T have the same x values but different y values!!!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

Sorry, all I know is the first one is a function.

Step-by-step explanation:

It's linear, and passing the vertical line test because it only has a point on each part of the x-axis, if you were to graph it.

Find the surface area

Answers

Answer:

B.

Step-by-step explanation:

6x3=18

18x4=72

3x3=9

9x2=18

72=18=90

p-p-p-q-q-q =?
its urgent

Answers

Hey there!

Let's combine like terms:

p-p-p-q-q-q

p-p-p=-p

-p-p-q-q-q

-p-3q

Remember,  like terms are from the same "family"

So p's are from the p family, and q's are from the q family.

Hope everything is clear.

Let me know if you have any questions.

#LearningDoesn'tEnd

What is the value of the expression shown?
3
(1)

Answers

(1/3)³ = 1³ / 3³ = 1/27

1/27

kgfgkjhgbkjyhgbjtg

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