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

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Related Questions

Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]

[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]

Answers

Step-by-step explanation:

3/(4(x+2)) = x/(x+2)

the common denominator would have to be 4(x+2).

to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.

and then we get

3/(4(x+2)) = (4x)/(4(x+2))

and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.

3 = 4x

and therefore we can solve

x = 3/4

and D is then the right answer choice.

find the solution to the following system by substitution
4x+y=40

Answers

There are many ways of doing it, but here is mine.

Step-by-step explanation:

x = 6, y = 16

So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.

i fractions what is 2 x 5/8 i need heeeeeeeeeeeeeelp

Answers

Answer:

1 . 25 or 5/4 as a fraction

Step-by-step explanation: Hope this helps mark me branliest plssss;)

Answer:

2*5/8 = 5/8 + 5/8

So the answer is 1 and 1/4 :)

write 5 3/5 improper fraction

Answers

Answer:

28/5 is the answer.

Step-by-step explanation:

Multiply the denominator by the whole number

5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

HEEEEELLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!


Name my faviorate food and you get brainliest

Answers

Answer:

pizza , or KFC, chic fil a

SHOW WORK, please!!!!!!
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?

Answers

Answer:

1015 g and 145 g

Step-by-step explanation:

Let pineapple  = x, orange = y

A pineapple is 7 times as heavy as an orange:

x = 7y

The pineapple also weighs 870 grams more than the orange:

x = y + 870

Compare the two equations above:

7y = y + 8706y = 870y = 870/6y = 145

Find the value of x:

x = y + 870 = 145 + 870 = 1015

[tex]\huge \bf༆ Answer ༄[/tex]

Weight of pineapple :

[tex] \boxed{ \sf1015 \: g}[/tex]

Weight of Orange :

[tex] \boxed{ \sf145 \: g}[/tex]

[tex]꧁  \:  \large \bf{ Kaul } \: ꧂[/tex]

Please help I need to show my work

Answers

is your test online or on paper? how would you show work. i’ll comment the answer on this

How would you rewrite -5 - (-8) as an addition problem?

Answers

Answer:

if there are 2 negatives by each other it would become a postive so -5+8

Step-by-step explanation:

Answer:

-5+8

Step-by-step explanation:

minus a negative is equivalent to plus a positive

785 to the nearest 10​

Answers

785 to the nearest ten is 790
If the last number is above 4 you round up :)

What does the degree of the polynomial tell you.

Answers

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

Last year there were 20 girls on the volleyball team. This year the number of girls decreased by 10%. How many girls are on the volleyball team this year?

Answers

Answer:

22

Step-by-step explanation:

10% of 20 is 2, so when you add the previous amount and the percentage you end up with 22

18 girls now.
20 x 10% = 2
20-2=18

4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?​

Answers

Answer:

$16

Step-by-step explanation:

32×5=160

6×4=24

160+24=184

200-184=16

Elie was left with $16 at the end of the trip

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.

Assume that she is left with $[x]. Then, we can write the equation as -

x = 200 - {(32 x 5) + (6 x 4)}

x = 200 - {160 + 24}

x = 200 - 184

x = 16

Therefore, Elie was left with $16 at the end of the trip.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

Which of the following ordered pairs
make this equation true?
y =
= 10x - 30
A. (1, -12)
B. (8, 1)
C. (4, 10)
D. (6, 20)

Answers

The ordered pairs  that make this equation true is (4, 10)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the linear equation: y = 10x - 30:

At (1, -12): y = 10(1) - 30 = -20 ≠ -12

At (8, 1): y = 10(8) - 30 = 50 ≠ 1

At (4, 10): y = 10(4) - 30 = 10

At (6, 20): y = 10(6) - 30 = 30 ≠ 20

The ordered pairs  that make this equation true is (4, 10)

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find the value of x and y
from geometry ​


urgently

Answers

x+y=65x +65 =180 x= 180 - 65:• x= 115

P(x)=1/2(x-2)(x-3)(x+7) find the constant

Answers

Answer:

21

Step-by-step explanation:

p(x)=1/2(x-2)(x-3)(x+7)

costant term=1/2(-2)(-3)(7)=21

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?




3/5 = 60%



0.06 = 60%



0.002 = 2%



1/4 = 75%

Answers

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

pls help 3 x 2 + 6 (4+1) = ???

Answers

Answer:

17 IS THE ANSWER......................

Answer:

Your answer should be 36.

Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step

Answers

I think I need to know what the cat weighs first...

3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?​

Answers

Answer:

(a) 40% of the animals are cows.

(b) 60% of the animals are pigs.

Step-by-step explanation:

(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.

2/5 = x/100

5*20 = 100

2*20 = x

40 = x

(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.

100-40 = y

60 = y

Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.

Answers

Answer:

length:   5x + 2

width:   x - 2

Step-by-step explanation:

Factors of 5

1, 5

Factors of 4

1, 4

2, 2

Sign

one positive, one negative

Factor 5x^2 - 8x - 4

(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4

(5x + 2)(x - 2) = 5x^2 - 8x - 4

Therefor

length:   5x + 2

width:   x - 2

Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!

Answers

Answer:

Apples $0.90 / Bananas $1.50

Step-by-step explanation:

So The equations would look like this

5x + 4y = 10.5

10x + 5y = 16.5

Solving for x, we get 2.1 - 4/5y

Substitute x

10(2.1 -4/5y) +5y = 16.5

Solving for y, we get 3/2 or 1.5

Substitute y

x = 2.1 -4/5(3/2)

x = 9/10

Now check the equations with the answers

5(9/10) + 4(3/2) = 10.5  ->  21/2 = 21/2

10(9/10) + 5(3/2) = 16.5  ->  33/2 = 33/2

Which means apples cost $0.90 and bananas cost $1.50

A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.

Answers

15 miles because it travelled 30 miles then travelled 15 miles in the direction of the station, so 30-15=15

5^-15 rewritten using a positive exponent.

Answers

Answer: 1/5 to the power of 15

The swim coach is planning to attend the district swim meet next week. She must decide who will swim the different events. Find the combined time of her star swimmers as well as the difference of their times for the 25-Meter Freestyle.

The combined Time is ------ seconds

The difference of Times is ------- second

Answers

Answer:

the combined time 55.316

diffrence of times 0.856

Step-by-step explanation:

its 6th grader math

Answer:

55,316 0.856

Step-by-step explanation:

Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4

Answers

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

Learn more about division on:

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Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.

Answers

Answer:

15(2) + 15 (-5) . #45 drop

Step-by-step explanation:

Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).

Answers

Please prefer the picture for your answer.We know, area of a ∆ = 1/2 × base × height.Here, base = ( 7 + 1) units = 8 units.Height = (7 - 1) units = 6 units.Therefore, the area of the ∆= (1/2 × 8 × 6) square units = 24 square units.

Answer:

The area of the triangle is 24 square units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Find the perimeter. Simplify your answer.

Answers

Answer:

30y+14

Step-by-step explanation:

add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14

can someone help me?!!! I need help!! ASAP

Answers

Answer:

look at the picture .......................

Guided Practice

Type your answer and then click or tap Done.

What is the vertex of the parabola with the equation y=15x^2+2x−8?

Answers

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

1

/15

,

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

121

/15

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