The statue of liberty casts a 122 foot shadow at the same time ryan casts a 2 foot shadow. If the statue of liberty is 305 feet tall how tall is ryan?

Answers

Answer 1

Step-by-step explanation:

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

122 × f = 2

f = 2/122 = 1/61

therefore, Ryan is

305 × f = 305 × 1/61 = 5 ft

tall.

Answer 2

If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The length of shadow of Statue of Liberty = 122 foot.

The length of shadow of Ryan = 2 foot.

Also, the height of Statue of Liberty = 305 feet.

Let the height of Ryan = x

To find the value of x,

Use ratio and proportion method,

122 / 305 = 2 / x

x = 2 x 305 / 122

x = 305 / 61

x = 5

The height of Ryan is 5 feet.

To know more about Proportion on:

https://brainly.com/question/7096655

#SPJ5


Related Questions

A line with a slope of 1/10 passes through the point (10, 1) What is its equation in slope-intercept form?

Answers

Hello there! :)

We are given the slope of the line: 1/10.We are also given the point that the line passes through.So, with the given information, we can use Point-Slope form:y-y1=m(x-x1)y-1=1/10(x-10)y-1=1/10x-1y=1/10xTherefore, that's the equation.

Hope it helps. Use the comment section to clarify any doubts.

Answered by

~A teen who adores helping others

#LetItSnow

Good luck.

the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

y = mx + b

In which the coefficients are described as follows:

• The coefficient m is the slope of the function, representing the rate of change of the function.

• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).

Here, it is given that line passes though point (10,1) and having slope of 1/10.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 1/10(x-10)

y - 1 = x/10 - 1

y = x/10 + 0

Therefore, the equation of line which passes through point  (10, 1)  and having slope 1/10 is y = x/10 + 0.

check and know more about line here :

brainly.com/question/14914699

#SPJ2

Are these three side lengths a Pythagorean triple? YES
NO

Answers

Answer:

Yes

Step-by-step explanation:

5^2 + 5^2 = c^2

25 + 25 = c^2

50 = c^2

[tex]\sqrt{50}[/tex] = c

[tex]\sqrt{50}[/tex] = 5[tex]\sqrt{2}[/tex]

Answer:

NO

Step-by-step explanation:

no, it is an acute isosceles triangle

(5√2 = 7.01)

anybody help please hm​

Answers

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

Hope this helps!

6. Find the zeros of f(x):

f(x) = 2x + 6

Answers

Answer:

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Set equation equal to zero

0 = 2x + 6

-6 = 2x

x = -6/2

x = -3

hurry plz!!! I need help ​

Answers

Answer: See below

Step-by-step explanation:

The general transformation equation for an absolute value function is

y=a | x−h |+k.

f(x)=|x+4|

Horizontal translation 4 units left (positive value, move left)

f(x)=|x|-4

Vertical translation down 4 units (negative k value, move down)

f(x)=|x-4|

Horizontal translation 4 units right (negative value, move right)

f(x)=|x|+4

Vertical translation up 4 units (positive k value, move up)

What is the value of 8.25p + 3.99c, when p=11 and c= 7? *

Answers

Answer:

Your answer is p=3.99;$51.87

Give the number and type of solutions of the equation.

Answers

Answer:

B. 2 non-real solutions

Step-by-step explanation:

Compare the left and right side of the given equation in terms of the lines they represent:

x² is a parabola with non-negative value- 3x - 7 is a line with negative slope and negative y-intercept

Their intersection seems not possible. Lets graph and confirm.

See attached below.

It means there are no real solutions. Correct answer choice is B

what is the solution to the equation 4(x - 3) - 8 = 16?

Answers

Step-by-step explanation:

4(x-3)-8=16

4x-12-8=16

4x-20=16

4x-20+20=16+20

add

4x=36

divide both

4x/4  36/4

Simplify

x = 9

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana used 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.

Answers

Capacity of tank be x

At end of journey the tank was half filled.

Hence x/2 filled

Now used percentage is 30%

[tex]\\ \sf\longmapsto \dfrac{30x}{200}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}x[/tex]

Now

added gasoline=8gallon

Expression:-

[tex]\\ \sf\longmapsto \dfrac{3}{20}x+8[/tex]

HELP ME PLEASE I NEED HELPP

Answers

Answer:

4500 inches, check image below

Step-by-step explanation:

A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?

Answers

Answer:

1050miles.

Step-by-step explanation:

since every 2 inches=350 miles, then 6 inches= 3(350miles)

since 6/2=3.

or you can think of it this way:

there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.

350+350+350=1050miles.

6. If the pattern continues, what would be the ninth number in the pattern?

4 8, 12, 16___

( full question on pic )

Hi! can someone help me please, thank u!

Answers

20 would be the answer. Your counting by 4s

Answer:

20

Step-by-step explanation:

You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D

Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?

Answers

Answer:

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?

Step-by-step explanation:

Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.

Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.

Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.

Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?

If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.

One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.Figure  9.3.1  - To determine the total value of a stack of nickels, multiply the number of nickels times the value of one nickel.For coins of the same type, the total value can be found as follows:

number⋅value=totalvalue(9.3.1)

where number is the number of coins, value is the value of each coin, and total value is the total value of all the coins.

You could continue this process for each type of coin, and then you would know the total value of each type of coin. To get the total value of all the coins, add the total value of each type of coin.

Let's look at a specific case. Suppose there are 14 quarters, 17 dimes, 21 nickels, and 39 pennies. We'll make a table to organize the information – the type of coin, the number of each, and the value.

Table  9.3.1

Type Number Value ($) Total Value ($)

Quarters 14 0.25 3.50

Dimes 17 0.10 1.70

Nickels 21 0.05 1.05

Pennies 39 0.01 0.39

6.64

How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know how many you have—the number of dimes.

But this does not tell you the value of all the dimes. Say you counted 17 dimes, how much are they worth? Each dime is worth $0.10 —that is the value of one dime. To find the total value of the pile of 17 dimes, multiply 17 by $0.10 to get $1.70. This is the total value of all 17 dimes.

I don't understand raitos please help solve math problems

Answers

1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!

Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1

Answers

Answer:

c

Step-by-step explanation:

The correct answer is option D.

What's a system of inequalities?

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

How do you solve a system of inequalities?

Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.

Learn more about the system of inequalities here: brainly.com/question/4870108

#SPJ2

Determine the intercepts of the line.

Answers

[tex]y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}[/tex]

Jane and John had an equal number of flowers. Jane made bouquets with 7 flowers each, while John made bouquets with 9 flowers each. If there were no flowers remaining, at least how many bouquets did John make

Answers

Answer:

63

Step-by-step explanation:

The least common multiple of 7 and 9 is 63

Answer this QUICK!!! 60 POINTS!!!!

Answers

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

What is 2/5 divided by 2/3

Answers

Answer:

0.6

Step-by-step explanation:

Trust me

PLZ mark as brainliest

Solve for C if F = 77º. 5 C = (F-32) -​

Answers

Answer:

C = 25

Step-by-step explanation:

C = 5/9(77-32)

C = 5/9(45)

C = 25

(x+3³):(x+3)
Ehjensnsn

Answers

Answer:

x + 27

 ——————

 x + 3

Step-by-step explanation:

3-⁵ * 10-⁵ * 125 ÷ 5-⁷ *6-⁵​
who ever answer it I will give them a brainliest

Answers

Answer:

Below

Step-by-step explanation:

3^-5 * 10^-5 * 125 / 5^-7 * 6^-5

= (125 / 5^-7) /  (3^5 *10^5 * 6^5)

= 0.0000516818 to  10 decimal places.

Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer

Answers

Answer:

Leo

Step-by-step explanation:

Leo > Wes

Wes > Ella

Leo > Wes > Ella

Answer:

Leo's hair is longer than both Wes's and Ella's hair.

Step-by-step explanation:

Leo's hair> Wes's hair>Ella's hair

A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5[tex]t^{2}[/tex], where h is the height in meters and t is the time in seconds since the football was kicked.

a)what are the zeros of the relation? when does the football hit the ground?

Answers

Answer:

Zeroes - x=0 and x=4

Football hits the ground at x=4 (4 seconds)

Step-by-step explanation:

1) Plug equation in graphing calculator and graph function.

2) Find zeroes

3) The second zero is when the football hits the ground

Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

Answers

Principal (P) = $ 893Interest rate (r) = [tex]8 \frac{1}{5} \% = \frac{41}{5} \% = \frac{41}{5 \times 100} = \frac{41}{500} \\ [/tex]Number of times the amount is compounded per time period (n) = 1Time (t) = 5 years.Let the compound interest be I.Therefore,

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Can someone please help me with this?

Answers

Answer:.35,38% 3/5

Step-by-step explanation:Hope this helped

Answer: 0.35, 38% , 3/5

Step-by-step explanation:

3/5= 0.6= 0.60

38%= 0.38

0.35

A piecewise function is represented by the graph below.

On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?

x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answers

A piecewise function is used that combines several functions at different intervals.

The domain of the function represented by f(x) = x + 1 is x > 1

The function f(x) = x + 1 is represented by the second line that has an open circle at (1,2) and continues to (3,4)

The open circle at point (1,2) means that, the x value at this point is not included in the domain of f(x) = x + 1

So, the domain of f(x) = x + 1 is x > 1

Read more about piecewise functions at:

https://brainly.com/question/17966003

Answer:

D

Step-by-step explanation:

Correct on Edge

An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .

Answers

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

Learn more about Linear Equation here:

https://brainly.com/question/32634451

#SPJ2

HELP PLEASEEEEEE ill give u 30 point plays brainly u dont even have to show ur work

Answers

Answer:

1) 32/7

2) 7/5

3) 13/4

4) 32/15

5) 19/2

6) 57/14

Step-by-step explanation:

Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.

What is 0.27 as a percent?
A)0.27%
B)27%
C)2.7%
D)270%

Answers

Answer:

B.

Step-by-step explanation:

to turn a decimal into a percentile you have to move the decimal point over two spaces to the right.

Answer:

B

Step-by-step explanation:

Move the decimal 2 places to the left to find a percent.

Other Questions
In 1776, most people believed that their human rights came from: nature the government themselves God What are common ways for pathogens to spread from person to person? (2 points) There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be. In the New York marathon there were 45 360 runners. 7 /10 of the runners were women. How many of the runners were men? Individuals that are better suited to their environment are likely to have more offspring and pass their genetic material onto future generations. This theory is referred to as ____. Question 1 options:Use and Disuse Endosymbiosis Evolution Natural Selection Ilana has 70 in her purse. All the coins have the same value. What could describe all the coins she has in her purse?71 pennies8 dimes14 nickels3 quarters If the forces acting on an object at rest are ______,the object will remain at rest. How do you find the inverse of the exponential growth function?f(x)=9.16(1.0054)^xI know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c D5. In all organisms, the coded instructions for specifyingthe characteristics of the organism are directlydetermined by the arrangement of theA) twenty kinds of amino acids in each proteinB) twenty-three pairs of genes on each chromosomeC) stands of simple sugars in certain carbohydratemoleculesD) four types of molecular bases in the genes do plants need oxygen to make sugar? 2x- 5 >18 +xnecesito ayuda plissnecesito con resolucin How did the ruling of McCulloch v Maryland affect the federal government?A) It limited the ability of the president to enforce laws giving more power to state governors.B) It allowed state courts to judge cases in which state and national laws conflicted weakening the US Supreme Court'sauthorityC) It established that the Supreme Court would judge all cases involving the US Constitution D) It increased the power of Congress to carry out its lawmaking duties The Europeans first colonized Australia in 1788. Even though the Aborigines outnumbered the Europeans, they were driven from their lands. Many Aborigines were forced into slavery, Entire tribes died out, and much of the Aboriginal culture was lost.Based on the information in the box, which statement is MOST LIKELY true?Group of answer choicesThe Aborigines were overwhelmed by the large number of European forces.The Aborigines could not defend central Australia as they were driven to less desirable land on the coast.The Aborigines partnered with other countries to push Europeans out.The Aborigines could not effectively resist the Europeans' advanced weapons and diseases. What is the volume of a rectangular prism with a length of 2x, a width of x2, and a height of x + 2? What is one way that civil rights were expanded in the 20th century. If a truck that is traveling at 15 mph speeds up to 45 mph in 10 seconds, what is the trucks acceleration?PLZ HELP!!!! I NEED A ANSWER AND THE FIRST ONE TO ANSWER WILL GET A BRAINLIEST!!!! What is the equation of the line with a slope of 14 and a y-intercept of 3? A. y=3x+14 B. y=14x+3 C. y=14x3 D. y=3x14 according to the second amendment why is the government prohibited from infringing The key financial consideration in choosing between private and 3pl distribution options is. a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?