Noah is 1.35 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 31.55 meters. He stands 26.2 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

Answer:

3.64 meters

Step-by-step explanation:

To find the height of the tree to the nearest hundredth of a meter, you can use the principle of similar triangles.

First, we can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the height of the tree, the distance between the base of the tree and the point where the shadows meet, and the length of the shadow of the tree.

c = √(a² + b²)

c = √(h² + 26.2²)

Next, we can use the similar triangles to establish a ratio between the length of the shadow and the height of the tree and the length of the shadow and the distance from the tree.

shadow tree / height tree = shadow person / height person

31.55 / h = 31.55 / 26.2

Now, we can cross-multiply and divide to solve for h

h = 31.55 * 1.35 / 26.2

h = 3.64 meters

We can round it up to the nearest hundredth of a meter:

h = 3.64 meters

Therefore, the height of the tree is 3.64 meters to the nearest hundredth of a meter.


Related Questions

The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?

a. 9
b. 25/√9
c. 25
d. 203
e. 2,844

Answers

Answer:

203

Step-by-step explanation:

Sample size, n = 9

Mean weight, m = 203

Standard deviation = 25

Point estimate for the population mean weight of all black bears that are tagged `

The point estimate of the population mean ;

ΣX / n

Sum of sample / sample size ;

This is the mean value formula for the sample.

However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203

Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:

Point estimate of population mean weight of female black bears that are tagged.

Calculations and explanations:

Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.

The sample mean is obtained by:

[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]

Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.

Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Learn more about point estimate of population mean here:

https://brainly.com/question/20747890

answer this for me pls

Answers

Answer:

Slope = 2

Step-by-step explanation:

Find the slope by using the slope equation:

[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the numbers to the slope equation:

[tex]\frac{8 - (-8)}{2 - (-6)}[/tex]

Which is equal to:

[tex]\frac{16}{8}[/tex]

Which is simplified to:

2.

Write the formula for slope, for the point-slope
form of a line, and for the slope-intercept form of a
line.

Answers

Slope: M = rise/run = y2 - y1/x2 - x1

Point slope: y-y₁=m(x-x₁)

Slope-intercept: y = mx+b

If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?​

Answers

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

-Let g(x) be a function defined by g(x) = x3.
a) Sketch the graph of g(x).
b) Find the inverse g-1(x) of g(x) then sketch the graph of g-1(x). c) Specify the domain and range of g(x) and g-1(x).
d) Determine the end behavior of g(x) and g-1(x).

Answers

Answer:

Step-by-step explanation:

a) The graph rises steeply from the third quadrant  and there is a point of inflection through  the origin (0, 0) then rises steeply in quadrant 1.

b) Let y = g(x) = x^3

x = ∛y

So g(-1)x = ∛x.

The graph is the reflection of g(x) in y = x.

c) Domain of g(x) = All real x, Range is all real g(x).

Domain of  g(-1)x  = All real x, Range = all real g-1(x).

d) You will see the end behaviour from the graphs.

I tried to send you a link to the graphs but the system wont allow it.

Solve for x. Enter the solutions from least to greatest.
(2+8)^2 – 2 = 0
lesser x =
greater x =

Answers

Answer:

the answer to this question is 98=0

Which of the following graphs is the solution set of 2x+7>3?
PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

B or the second line

Step-by-step explanation:

1/2x +7 > 3

-7. -7

1/2x > -4

you time 2 on both sides

x > -8

What is the approximate length of a female green anaconda?

a) 4.6m b) 46m c) 460m d) .46m​

Answers

Answer:

A

Step-by-step explanation:

More typical mature specimens reportedly can range up to 5 m (16.4 ft), with adult females, with a mean length of about 4.6 m (15.1 ft), being generally much larger than the males, which average around 3 m (9.8 ft).

rachel is 1.35 m tall her friend pita is 179 cm tall who is taller and by how much give your answer in centimeters

Answers

Answer:

Pita, by 44 cm

Step-by-step explanation:

1,35 m = 135 cm

179 cm > 135 cm, so Pita is taller than Rachael

The difference is:

179 cm - 135 cm = 44 cm

Find the area of the shaded region.
4cm
5cm
step by step plz​

Answers

Here's the same answer I got on my question that you so helpfully "answered":

uhvvcefjjydchtrrsxikngg

Help me answer question 2 ​

Answers

Answer:

x + x + x

Step-by-step explanation:

We have 3y and are asked to express it equivalently with the answers provided.

I will go over the flaws of each answer and single it down to the correct one.

x * x * x would equal x^3, since this is being multiplied.

x^3 is equal to x * x * x, therefore it is not correct.

x + 3 is not correct because you cannot add numbers or variables that are not like terms, so it would not equal to 3y.

x + x + x would equal to 3y because they are all like terms and do not form exponents.

which graph correctly represents the inequality x - 3y ≥ 6


F. none of them

Answers

Answer:

F is the answer lol bye okay A

If bananas are $0.50 each, how much would it cost for 7 bananas?

Answers

Answer:

Step-by-step explanation:

total cost = unit cost times number purchased:

total cost = ($0.50/banana)(7 bananas) = $3.50 for 7 bananas

Answer: $3.50

Step-by-step explanation:

Help with permutations please

Answers

Any permutation where the number after the P is 0 will be equal to 1

The answer is 1

In the evening, a water tank contained 30cm of water. A few days later, it contained 21 cm of water. Ahmed claims that there is a 30% decrease. is Ahmed correct

Answers

Yes.
30 x .30 = 9 cm is a 30% decrease
30-9= 21 cm

Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.

Answers

Answer: The table represents a proportional relationship.

Will make 1st answer brainleist

Answers

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

4.7(5) - 6.8(3) =

23.5 - 20.4 =

3.1

Tom goes to a restaurant and the food bill is $22. If he wants to give the waiter a 20% tip. What will the total cost of the meal be?

Answers

Answer: $4.40

Step-by-step explanation:

Trust me did the assignment

Answer:

$26.40.

Step-by-step explanation:

Find 20% of 22.

20% x 22 = 22/5 = 4 2/5 = 4.40.

So the tip costs 4.40, so let's add that to 22 to find the total cost. 4.40+22=26.40, so the entire meal costs: $26.40.

A ticket to Silver Dollar City costs $125. You have a coupon that will save you 33%. How much will you SAVE? In the same scenario, how much will you end up SPENDING for you ticket if you use your coupon?

Answers

You will save 41.25 dollars, and you will pay 83.75 dollars if you use the coupon.
To get the percent of money you save you multiply 125 dollars by 33% to get your answer. To get the number of dollars you will take the amount you got by multiplying 125 dollars by 33% and subtract it from 125, so that’s 125 - 41.25 = 83.75


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x - 2

Step-by-step explanation:

Answer:y=x-2

Step-by-step explanation:

each y is the x number with 2 taken away

OIGAN ME AYUDAN CON ESTO AUQUE SEA PLIS ​

Answers

Answer:

son 2 sucesiones si ves u a va subiendo y otra ba bajando

what is 2247 divided by 7 ​

Answers

and 8

Step-by-step explanation:

and and and and and and and and and 8

Answer is 321
Hope this helps

Find the midpoint of MN. M(-3,8) and N(-7-6)

Answers

Step-by-step explanation:

use the midpoint formula

-3+-7/2, 8+-6/2

(-5, 1)

A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?

Answers

Answer:

$97.52

Step-by-step explanation:

(original price) 115 - (discount) 23 = 92 (new price)

92 plus 6% sales tax = $97.52 (final price)

2x + y = 7
-2x - y = 6
Solve systems of equations by substitution

Answers

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

There are 10 books on a shelf. How many different
ways can the books be arranged?

Please help

Answers

Answer:

Number of books =10

Total number of ways =10!

Given pair of books to be together considering them as one

total sets =9

Number of ways of arranging them =9!ways

Those two books can be arranged in 2!

Total ways that the pair of books is together 

⇒9×2

Number of ways that are not together 

⇒10−9×2

⇒9(10−2)

⇒8×9

Answer:

I hope you understand please give brainliest

Step-by-step explanation:

We have a total of 10 books. If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!

2x + y = 2
x - y = 1

Answers

Answer:

mariana bedoya sanchez

Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8 - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions

One solution

Two solutions

Infinity many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.

Answers

Answer:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right on the test review.

Answer:

just took the test the answer is C)

Step-by-step explanation:

1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

What exactly is the question here ?? (lol)

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