Sarah, who is 1.72 m tall, wishes to find the height of a tree. She walks 18.77
m from the base of the tree along the shadow of the tree until her head is
in a position where the tip of her shadow exactly overlaps the end of the
tree top's shadow. She is now 5.38 m from the end of the shadows. How
tall is the tree? Round to the nearest hundredth. *

Answers

Answer 1

Answer:

7.7 m

Step-by-step explanation:

let's give the tree height T

T = 1.72 × (18.77+5.38)/5.38

T = 1.72 × 24.15/5.38

T = 41.538/5.38

T ≈ 7.7 m


Related Questions

The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

The hourly rate  of Job A is greater than the hourly rate of Job BThe hourly  rate of Job A is twice the hourly rate of Job B.

What is the volume of this sphere rounded to the nearest hundredth?

Answers

Answer:

2144.7

Step-by-step explanation:

Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]

V= [tex]\frac{4}{3} \pi 8^{3}[/tex]

V=(4 /3)·π·8^3≈2144.66058 --> 2144.7

Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?

Answers

A= L x W
Square has 4 equal sides
Which means the length and width are the same number

x^2= 81
X=9

9+9+9+9=36

Perimeter=36

(-1)^2 × (-1)^3 × (-1)^5​

Answers

Answer:

1

Step-by-step explanation:

(-1)^2 = 1

(-1)^3 = -1

(-1)^5 = -1

(1) (-1) (-1) = 1

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

Answers

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

can someone help me solve this please

Answers

Answer:

The answer is C.

Step-by-step explanation:


fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO

Answers

Answer:

D and e

Step-by-step explanation:

Savannah made two posters. The second poster was 3 times larger than the first. If the first poster was 78 square inches, how large were the posters altogether?

Answers

Answer: 312  square inches

Step-by-step explanation:

Given: The first poster was 78 square inches.

Also, The second poster was 3 times larger than the first.

The area of second poster =  3 x (First poster)

= 3 x (78) square inches

= 234  square inches

The area of both posters = Area of first poster + Area of second poster

= (78+234) square inches

= 312  square inches

Hence, the posters were 312  square inches large altogether.

(a) All even numbers are divisible by 2.​

Answers

Answer:

All even numbers are divisible by 2

Use special right triangle find the exact value of x.
X=?

Answers

Answer: 12

Step-by-step explanation:

HELLLLLP MEEEE IDENTIFY THE HEIGHT

Answers

Answer:

11

Step-by-step explanation:

The height is 11 inches.

6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”

Answers

Answer:

75%

Step-by-step explanation:

Let x be the percentage for sports club members.

x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

x = 75

Plsss help I have a couple min left plssss

Answers

Answer:

here is the answer

Step-by-step explanation:

the first one the slope is 2

the second one the slope is -3

the slope is always the one with the x and the second one without the x is the y axis

It takes Emily for a minute to drive to a football game it takes Mark 1 hour and 15 minutes longer how many minutes does it take Mars to drive to the football game

Answers

Answer:

76 minutes

Step-by-step explanation:

The computation is shown below:

Since mark would take 1 hour and 15 minutes i.e. 60 + 15 = 75 minutes

And, emily takes for a minute = 1 minute

So, the number of minutes taken by Mars to drive is

= 75  + 1

= 76 minutes

Help pls for brainlest and extra points i need done soon

Answers

Answer:

5/6= 10/12

12/100<10/12


What is another way of writing 5(6+3) using to distribute property

Answers

B is another way. hope this helps

Answer:

The multiplication of 5(6) and 5(3) will each be done before you add.

5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.

Step-by-step explanation:

hope this helps...

have a nice weekend ヽ(ヅ)ノ

oh and if i was supposed to follow something sorry cuz i can't see the pic...

X to the fourth power minus Y to the fourth power

Answers

Answer:

[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]

Step-by-step explanation:

[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]

[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]

A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.

Answers

Answer:

530.66

Step-by-step explanation:

The computation of the area of the cross section is shown below

Given that

Volume = 9208 m^3

Now let us assume the radius be r

So volume = 4 ÷ 3 πr^3

9202.8 × 3 ÷ 4π = r^3

27,608.4 ÷ 4 × 3.14 = r^3

27,608.4 ÷ 12.56 = r^3

2,198.12 = r^3

r = 13

Now the area of the cross section is

= πr^2

= 3.14 × (13)^2

= 530.66

Which expression represents the series 1+5+25+125+625

Answers

Answer:

Step-by-step explanation:

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

Sum: 0.78619≈0.786

Step-by-step explanation:

n=4

r=1, 2, 3, 4

r=1,2,3,4

"At least" counts up.

p=32\%=0.32

p=32%=0.32

q=1-0.32=0.68

q=1−0.32=0.68

The chance a success does NOT occur.

_{n}C_{r}p^rq^{n-r}

The probability that at most one of their six children will have that trait is 0.68

How to determine the probability?

From the question, the given parameters are

Number of children, n = 6

Probability of a child with the trait, p = 37%

The required probability that at most one will have that trait is represented as P(x ≤ 1)

This probability is calculated ;

P(x ≤ 1) = P(0) + P(1)

Where

P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ

So, we have

P(x ≤ 1) = ⁷C₀ (37%)⁰  (1 - 37%)⁷⁻⁰ + ⁷C₁  (37%)¹  (1 - 37%)⁷⁻¹

Evaluate;

P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶

So, we have;

P(x ≤ 1) = 1-0.32= 0.68

Hence, the probability is 0.68

Read more about probability at

brainly.com/question/251701

#SPJ2

1) Which of the following lines has an undefined slope?
A. y = 6x - 2
B. y = 3
C. y = -4x + 7
D. x = -5

Answers

Answer:

D

Step-by-step explanation:

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!

it cannot be written in slope-intercept form,

--So we can rule out A and B, since they are in Slope Intercept Form--

but it can be written in the form: x=a , where a is a constant.

B is not in the form x=a so we can rule that out.

D is in the correct form!

Hope i helped, Brainliest would be appreciated!

Have a nice day!

    -Aadi x

which of these expressions will return the same value for PV

Answers

Answer:

C

Step-by-step explanation:

y = -2x + 5
4x + 2y = 10


Please show your work!!!

Answers

Answer:

The answer is ( X , - 2x + 5)

if you click the image it will show you how to solve the equation. I hope this helps you :)

3y (3x - 1) - ( 3x - 1) tama "termino común"

Answers

Answer:

9xy-3x-3y+1

Step-by-step explanation:

3y(3x-1)-1(3x-1)

Kamogelo walks 1.25 km in 25 minutes and Masego walks 1.44 km in 30 minutes. If these are
their travelling times and distance to school then, who walks faster.​

Answers

Answer:

Kamogelo walks Faster

Step-by-step explanation:

1.25 km is less distant and in twenty five minutes it is fast enough.

Help please
4 x n = -8

Answers

Answer:

-2.

Step-by-step explanation:

4 x -2 = -8.

.Mr. Morrison can do 120 jumping jacks in two minutes. Write an equation to represent how many jumping jacks Mr. Morrison can do in 5 minutes.

Answers

J equals number of jumping jacks and T for seconds J=2t every 2 seconds mr Morrison does 1 jumping Jack

Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?

Answers

divide 1850 by 12
to give you 154.166 which rounds to 154.17

Work out the volume of the cone, giving your answer
to 3 significant figures.

Answers

Answer:

V =  1010 sq cm.  to 3 significant figures

Step-by-step explanation:

V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]

   = [tex]\frac{\pi 64(15)}{3}[/tex]

   =  1005.309649,,,

V =  1010 sq cm.  to 3 significant figures

Trying again, but im attaching the screenshot this time!

Answers

Answer:

the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals  84.

84 is the rectangles area and the area for the trapezoids is 36.

84 plus 18 plus 18 equals 120 squared

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