A tree outside Ellie’s house cast of 125 foot shadow. At the same time of day, Ellie cast a 5.5 foot shadow. If Ellie is 4‘10“ tall, how tall is the tree in feet?

A Tree Outside Ellies House Cast Of 125 Foot Shadow. At The Same Time Of Day, Ellie Cast A 5.5 Foot Shadow.

Answers

Answer 1

Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

- The tree and its shadow formed a right angle triangle with legs

 x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

similar triangles

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

babyface17

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

Answer 2

Answer:

109.85 ft

Step-by-step explanation:

5.5'/ 4'10"=125 ft/x

5.5*12/(4*12+10)=125/x

66/58=125/x

x=125*58/66

x=109.85 ft


Related Questions

Explain how you can determine how much chicken salad
may be purchased for $52.50.​

Answers

Answer:

Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.

Step-by-step explanation:

Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)

Answers

Answer:

Yes!

Step-by-step explanation:

When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!

Yes!
You plug in the -2 into x and the 23 into f(x).

f(23)= 13-5(-2)
f(23)= 13+10
f(23)= 23

Calculate the volume of the 3-D composite figure please!! show how you got the volume

Answers

Answer: 10,488 cu. in.

Step-by-step explanation:

Volume of rectangular prism = l x w x h

= 16 x 18 x 23 = 6624 cu. in

Volumr of triangular prism = 1/2bh (height of prism)

= 1/2 x 23 x 21 x 16

= 3864 cu. in.

Volume of the figure = 6624 + 3864 = 10,488 cu. in

freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?

Answers

Answer:

20 icnhes

Step-by-step explanation:

not rlly

CAN SOMEONE please help me with this hard homework question i will really appreciate if you did

Answers

Answer:

Please check the attached picture

Step-by-step explanation:

In the first row, there are 5 players in total, 4 of them practice extra time, then 5 - 4 = 1 player does not practice extra time.

In the second row, there are 5 players in total, 2 of them practice extra time, then 5 - 2 = 3 players do not practice extra time.

In the third row, there are 8 players in total, 2 of them practice extra time, then 8 - 2 = 6 players do not practice extra time.

We finally add up each column, to complete the table.

I hope this helps!

How do you determine if polygons are similar?

Answers

Answer:

To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.

What is the measure of arc c?
190
95
120
70

Answers

Answer:

70°

Step-by-step explanation:

By inscribed angle theorem:

[tex] 95° = \frac{1}{2}(c + 120°)\\\\

\therefore 95°\times 2 = c + 120°\\\\

\therefore 190° = c + 120°\\\\

\therefore c = 190° - 120°\\\\

\huge \orange {\boxed {\therefore c = 70°}} [/tex]

Exterior angle equation:
3x= (x + 15) + 43

Answers

Answer:

x=29

Step-by-step explanation:

3x=x+58

2x=58

x=29

Please help 50 points!!

Answers

Answer:

the first one

Step-by-step explanation:

Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.

Answer:

The third option is the correct answer because it is proving the property.

Thank you

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

find the median if this set of numbers: 7, 6, 19, 12, 16, 19, 19, 6 ​

Answers

Answer:

20

Step-by-step explanation:

Order the numbers from smallest to largest, then cross one number off until you have one or two numbers left.

If there is an EVEN number of numbers(like this one): there will be two numbers left, therefore you add those two numbers together, then divide by two.

If there is  an ODD number of numbers: there will be one number left, therefore that is your answer!

Hope this helps!

-PusheenDaCat1017

WILL MARK BRAINLIEST-30 PTS---On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?
A.
GH = G'H'
B.
G'G = 8 units
C.
m∠HIJ = m∠H'I'J'
D.
m∠HI'J = m∠H'IJ'

Answers

Answer:

The question is asking to choose among the following choices that states the equation that is not necessarily true about the said coordinate plane and in my further calculation, the answer would be G'H' = 8 units.

( I think you made a mistake when writing the answer choice for B, because the correct answer is G'H' = 8 units )

Anyways, Hope this helps!

Answer: B

Step-by-step explanation:

What is the slope of the line on the graph?

Answers

Answer:

2

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/(x2-x1)

    = (4-2)/(-1 - -2)

    = (4-2)/( -1 +2)

    =2/1

   = 2

Answer:

2

Step-by-step explanation:

slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{4 - 2}{ - 1 - ( - 2)} \\ = \frac{2}{2 - 1} \\ = \frac{2}{1} \\ = 2[/tex]

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Answers

Answer:

[tex]8x+4y-2z-8z^2[/tex]

Step-by-step explanation:

Given

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Required

Write an expression that shows their sum

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Open Brackets

[tex]8x+3z-8z^2+4y-5z[/tex]

Collect Like Terms

[tex]8x+3z-5z-8z^2+4y[/tex]

[tex]8x-2z-8z^2+4y[/tex]

Reorder the polynomial

[tex]8x+4y-2z-8z^2[/tex]

Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]

Answer:

D

Step-by-step explanation:

answer on edge

divide x^3/4 over x^1/6

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{x^{\frac{3}{4} } }{x^{\frac{1}{6} } } = x^{\frac{3}{4} - \frac{1}{6} \\[/tex]

[tex]\frac{3}{4} - \frac{1}{6} = \frac{(3 * 6) - (4 * 1)}{(4 * 6)}[/tex]

[tex]\frac{18 - 4}{24} = \frac{14}{24} = \frac{7}{12}[/tex]

Help please is for Algebra

Answers

Answer:

[tex]=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

the third option is your answer

Step-by-step explanation:

[tex]\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}[/tex]

[tex]\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

Which equation is a linear function?

Answers

im like 60% sure its y=x

Answer:

y = x

Step-by-step explanation:

In general ,A linear function has the form y = ax + b

so ,the functions :

y = √x

y = x²

y = x³

don’t meet the requirements of the definition

therefore none of them is linear.

but y = x is a valid choice (just put a = 1 and b = 0  in the expression y = ax + b)

About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answers

Answer:

747  people per square mile

Step-by-step explanation:

population of  city's town hall = 150,000

Radius of  city's town hall = 8 mile

area of any circular shape is given by [tex]\pi r^2[/tex].

r is the radius of circle.

p

Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]

Population density for any place is ratio of population of that place to area of that place

Thus

Population density for city's town hall = population of  city's town hall /Area of city's town hall

Population density for city's town hall =  150,000/200.96

Population density for city's town hall= 746.42  people per square mile.

Population density for city's town hall  Rounded  to the nearest whole number is 747  people per square mile.

Jerry borrowed $8,000 for 5 years at 6.5% simple interest rate. How much interest is that?

Answers

The answer is $2600

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

$ 2600

Step-by-step explanation:

[tex]p = 8000 \\ r = 6.5\% \\ t = 5 \: \: years[/tex]

[tex] \frac{prt}{100} \\ = \frac{8000 \times 6.5 \times 5}{100} \\ = 2600[/tex]

What expression represents the volume of the prism, in cubic units?


One-halfx3

One-halfx2 + x

2x3

2x2+ x

Answers

Answer:

Its A or 1/2x^3

Step-by-step explanation:

Just took the test

Please help!

The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?

Answers

Answer:

d (miles) = (sqrt 1.5) * height (feet)

d (miles) = 1.2247448714  * 1,250

d (miles) = 1,530.93 miles

Step-by-step explanation:

Which describes renting?
a) a refundable amount paid in advance to protect the owner from damage or nonpayment
b) using a person’s property for a fee
c) a service such as electricity
d) a written agreement that allows a tenant to use a property for a set period of time

Answers

Answer:

d) a written agreement that allows a tenant to use a property for a set period of time.

PLEASEEE HELPP!! Work must be shown for this problem! The figure shown below is a square.

Answers

Answer:

x=25

Step-by-step explanation:

4x-10=90

4x=100

x=25

Answer:

25

Step-by-step explanation:

We know that m∠9 is 90° because the diagonals of a square are perpendicular.

4x - 10 = 90

4x = 100

x = 25°

please read the photo above first :))
a) 40
b) 160
c) 240
d) 320​

Answers

Answer: A

Step-by-step explanation:

This problem, may seem abit tricky, but this sequence is all about plugging in.

Since c₁=5, we can solve for c₂ and c₃.

c₂=c₁·2ⁿ⁻¹

c₂=5·2¹

c₂=10

Now that we have c₂, we can find c₃.

c₃=c₂·2ⁿ⁻¹

c₃=10·2²

c₃=40

How is the product related to the first factor? 4/5 x 4/11

Answers

Answer

The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.

What is the measure of angle HIJ?
Н

Answers

Answer: you forgot to add A pic

Step-by-step explanation:

410−x/7 +70=120. please answer fast i will give brainliest

Answers

Answer:

Step-by-step explanation:

410-x/7+70=120

-70.       -70

410-x/7= 50

-410.  -410

-x/7=-360

*7.    *7

-x=-2520

x = 2520

Answer:

Your answer is 2520.

Step-by-step explanation:

Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.

Answers

Answer:

4 sq foot

Step-by-step explanation:

QUESTION 5 What is the area of the trapezoid?

Answers

Answer:

126 in^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 12+16)*9

A = 1/2 (28) *9

  = 126

Answer:

126 ^2 in

(12)+(16)/2 * (9)

Area= a+b/s(h)

Step-by-step explanation:

What's the rule?
25, 20, 15, 10

Answers

Answer:

subtract 5

Step-by-step explanation:

Hello

I think I can help you here.

The answer is:

The rule is 5!

Step-by-step explanation:

It goes up in 5's each time. The 5 times table.

Please mark my answer.

Cheers, Jake

Please help in simplify these expressions

Answers

Answer:

1. 2y^2 x 3y

  6y^2 x y

  6y^3

2. (7x^5) (2x^2)

   14x^7

Step-by-step explanation:

Answer:

[tex]2y^2 \cdot 3y\\6y^3[/tex]

[tex](7x^5)(2x^2)\\14x^7[/tex]

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