Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters away from the tree, so that the tip of her 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 relationship between her height and the tree's is an illustration of ratios and proportions

The height of the tree is approximately 2.11 meters

Her height is represented as:

[tex]\mathbf{h =1.85}[/tex]

At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:

[tex]\mathbf{D =39.75}[/tex]

[tex]\mathbf{d =34.9}[/tex]

To calculate the height (H) of the tree, we make use of the following equivalent ratios

[tex]\mathbf{H : h =D : d}[/tex]

So, we have:

[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]

Express ratio as fraction

[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]

Multiply both sides by 1.85

[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]

[tex]\mathbf{H=2.11}[/tex]

Hence, the height of the tree is approximately 2.11 meters

Read more about ratios and proportions at:

https://brainly.com/question/7810782


Related Questions

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Answers

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment

Answers

Answer:

Step-by-step explanation:

Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?

Answers

Answer:

3 5/6 = 3 10/12

2 1/3= 2 4/12

3-2=1

10/12-4/12= 6/12=1/2

so Kyle read 1 1/2 more books then Jan

Answer:

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Step-by-step explanation:

Let's put our equation

[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]

They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator

Find our LCM

Definition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Now let's find our LCM

[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]

as you can see our [tex]LCM[/tex] is [tex]6[/tex]

Now our fraction is[tex]3\frac{5}{6}-2\frac{2}{6}[/tex]Solve

[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]

Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan

Brainliest please :)

Could you please help me?!

Answers

Answer:

Step-by-step explanation:

Facts to know :

-diagonals of rhombus are angle bisector so angle A is double 28

∡A = 28*2 = 56°

-opposite angles in a rhombus are congruent so angle A and angle C have the same measure

∡C = 56°

-the sum of angles in a rhombus is 360°

360 - 2*56 = 360-112 = 248

248 /2 = 124

∡B = ∡D = 124°

Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?

Answers

Lee would earn 68 dollars if she worked 4 hours
He would earn $68 if he worked fo 4 hours

the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u

Answers

Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

Help pls dont send links by

Answers

Answer:

draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line

for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS

Answer:

I think it's 3.

Step-by-step explanation:

Sorry if it's wrong.

Pls help will give 10 pts

Answers

Answer:

276 guests

Step-by-step explanation:

Let the number of guests be n.  We are to find the value of n.

Then (1/3)n + (5/12)n + 69 = n, or

                (9/12)n + 69 = n or (12/12)n

Solving for n, we get    (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276

There were 276 guests at the wedding.

Check:  Does (1/3)(276) + (5/12)(276) + 69 work out to 276?  yes

can someone please help me with this

Answers

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

expand and simplify
(x +3)(x+5)

Answers

x • x + x • 5 + 3 • x + 3 • 5
2x + 5x + 3x + 15
10x + 15

Answer:

x² + 8x + 15

Step-by-step explanation:

(x +3)(x+5)

=> x² + 5x + 3x + 15

=> x² + 8x + 15

So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.

How to find area of a triangle.

Answers

Base x height divided by 2

\sf 45-2x=75-3x



Free

Answers

[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]

[tex]\sf \longmapsto45+−2x=75+−3x[/tex]

[tex]\sf \longmapsto−2x+45=−3x+75[/tex]

[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]

[tex]\sf \longmapsto \: x+45=75[/tex]

[tex]\sf \longmapsto \: x+45−45=75−45[/tex]

[tex]\sf \longmapsto \: x=30[/tex]

[tex] \boxed{\sf 30}[/tex]

Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -

Answers

Answer:

Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is

Step-by-step explanation:

calculating the change between two points.

Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?

Answers

Answer:

390 minutes I do believe.

Step-by-step explanation:

hi! can someone please help me with these i’m confused on how to answer it

Answers

Answer:

Step-by-step explanation:

Solve for g.

7 − –3g = 13

g =

Answers

Answer: g=2

Step-by-step explanation:

Remove the parentheses

7- (-3)g=13

Move the constant to the right

7+3g=13

Calculate

3g=13-7

Divide both sides

39=6

Answer:

g=2

On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$

Answers

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Learn more here: https://brainly.com/question/25765213

find the nth term of 1,6,11,16

Answers

Answer:

5n-4

Step-by-step explanation:

The rule of the sequence is 5n-4.

If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1

If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6

If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11

If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Your first equation y=1/2(1+0.3)^t is going to be growth

Your second equation y=0.3(0.95)^t is going to be decay

Your third equation y=((1+0.03)^1/2)^2t is going to be growth

your fourth equation y=200(0.73)^t is going to be decay

your last equation y=4(1/4)^t is going to be decay

Step-by-step explanation:

You can find this by graphing each of you equations on desmos

Answer:

Step-by-step explanation:

See attachment

Can you help me plzzzzzzz

Answers

Answer:

Step-by-step explanation:u have to add x+6 = ur answer there u go

HELP * PICTURE INSERTED*

Answers

Answer:

9m^2

Step-by-step explanation:

Area of triangle = 1/2 ×base×height

=1/2(2/3m ×27m)

Area of triangle =9m^2

cahahahahhddbsbshshsjs 98 +_=366

Answers

Answer:

268

Step-by-step explanation:

366 minus 98= 268

CAN I GET BRAINLIEST

268
You get the final amount given minus that by the first number given you will get the answer for this case it would be.
366-98 that would be 268

using the diagram what is the intersection of plane ABCD and GC

A. Plane EFGH
B. Point D
c. Point C
D. Line CB

Answers

Answer:

The answer it's c. Point C

PLZ HELP ME WITH THIS ASAP

Answers

Answer: y= 9

Step-by-step explanation: x, y= 9


Here is a sequence of numbers:
1
3
6
10
15

What is the name given to these numbers?

Answers

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.

Answers

Answer: y = (28/4)x + 4

Step-by-step explanation:

We'll be using 20, 144 (1) and 24, 172 (2) for this

slope = y2 - y1 / x2 - x1

slope = 172 - 144 / 24 - 20

slope = 28/4

y = mx + b

y = (28/4)x + b

We can then reduce 20, 144 by 4, 28

20, 144

16, 116

12, 88

8, 60

4, 32

0, 4

The y-intercept is when x = 0, so its 4.

Plug that into y = mx + b

y = (28/4)x + 4

Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2

Answers

Answer:

Option D

Hope this helps!

Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.

Answers

[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]

hi guys pls answer this we will pass the tomorrow​

Answers

Answer:

1. 25/24

2. 7/6

3. 4/3

4. 6/8 or 3/4

5. 5/4

1. 1

2. 1/4

3. 2/10 or 1/5

4. 7/3

5. 13/6

please help me it's done in 4 mins I beg you ​

Answers

Answer:

the slope rise/run = 4/6

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