A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?

Answers

Answer 1

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft


Related Questions

bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9

Answers

Answer: 8

if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.

Step-by-step explanation:  you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.

you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.

Answer:

8 I believe

Step-by-step explanation:

1.50 x 3 = 4.50 so for 4 bags you need 4.50

1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal

you bought 6 which is two times 3 so would get two free

6+2= 8

I apologize if I didn't explain it enough or got it wrong

Miguel places his 13-foot ladder 5 feet from the edge of his house. How high does the ladder reach? A. 8 feet B. 12 feet C. 13.9 feet D. 144 feet E. 194 feet

Answers

Answer:

A - eight feet

Step-by-step explanation:

20 character rule can be dumb sometimes

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. The height of the house is 12 feet, then the correct option is B.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Miguel places his 13-foot ladder 5 feet from the edge of his house.

Then the height of the house is given by the Pythagoras theorem.

P² = H² - B²

P² = 13² - 5²

P² = 169 - 25

P² = 144

P = 12

Then the height of the house is 12 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year?

Answers

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)

I need the answers to #1-#6 ASAP!

Answers

Answer:

the answer to 1 is 24.5

Step-by-step explanation:

i believe


You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?

Answers

Answer:

Choice A. $2,392 is the correct answer

Choice A is the correct one

PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?

Answers

Answer:

6(7+15)

Step-by-step explanation:

6×7=42

6×15=90

Analyze the diagram below and complete the instructions that follow.
7
y
450
X
Find the value of x and the value of y.
A. x = 16, y = 9V2
B. x = 7, y = 16 V2
C. x= 16V/, y = 7.12
D. x= 7/3, y = 16

Answers

Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

Can someone help me please

Answers

Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?

Answers

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Therefore, the price of soda is $3.

The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.

Answers

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?

Answers

Answer:

A EDGE 2020

Step-by-step explanation:

I got it wrong twice and it gave me the answer :)

The point represents z₁ - z₂ will be A. Then the correct option is A.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex numbers z₁ and z₂ are graphed.

The expression of z₁ and z₂ are given below.

z₁ = 4 – i

z₂ = –3 – 2i

Then the difference between z₁ and z₂ will be

z₁ - z₂ = (4 – i) – (–3 – 2i)

z₁ - z₂ = 4 – i + 3 + 2i)

z₁ - z₂ = 7 + i

Then the correct option is A.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

PLEASE HELP!!
What is the slope for runner 1 and runner 2 ?

Answers

I don’t about 2 but the slope for 1 is 2

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)
Can someone break this down step by step so i know how to do it please
thankyou .

Answers

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

 

 

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Combine like terms (x):                    12x + 2y + 6 + 3y - 4 - 2y + 1Combine like terms (y):                    12x + 3y + 6 - 4 + 1Combine like terms (Z):                    12x + 3y + 3

the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?​

Answers

Answer:

ratio 4x:3x

total= 7x parts = 35(given)

x= 35/7 =5

boys = 4x = 20

girls = 3x = 15

The number of boys are more by 20-15 = 5.

Step-by-step explanation:

Answer:

20 boys 20:15

Step-by-step explanation:

helpful??

Given the coordinates of a rectangle A(2,5) B(6,5) C(6,-5) and D(2,-5), write the equations of the lines of reflection

Answers

Answer: D

Step-by-step explanation: because I got the same question and got it right

Help plsssssssssssss???

Answers

Answer:

Go 6 units to the right and then 8 units up.

Answer:

so Go 6 units to the right and then 8 units up. and then you should get your point on the graph id apreciate brainliest

Step-by-step explanation:

Which is NOT an example of kinetic energy

Question 8 options:

a skateboard rolling down a hill.


an arrow after it has hit the target and is at rest.


a skydiver as they decrease speed after opening their parachute.


an elevator moving up to the 3rd floor,

Answers

Answer: an arrow after it has hit the target and is at rest.

Step-by-step explanation:

Kinetic energy has to do with energy which a body possesses by virtue of being in motion. The arrow is not in motion anymore


Are the two triangles similar?

Answers

Answer:

No, they are not.

Step-by-step explanation:

HELPP! I need an explanation an answer quicck

Answers

Answer:

C. -1,-2

Step-by-step explanation:

the answer is -1 , -2

Trey recorded the number of ounces of water he drank each day in the histogram below.

Which of the following would be the best measure of variability?
A.
interquartile range
B.
mean
C.
median
D.
mean absolute deviation

Answers

When  Trey recorded the number of ounces so the best measure of the variability should be considered as the mean absolute deviation.

What is the mean absolute deviation?

The mean absolute deviation refer to the dataset which represent the average distance that lies between  every data point and the mean.

It provides the idea related to the variability arise in the dataset.

hence, The best measure of the variability should be considered as the mean absolute deviation.

learn more about mean here: https://brainly.com/question/8870962

diagram of ABCD to find m

Answers

Answer:

since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63

to fine A and C simply subtract 180 - 63 which gives us 117 so

A = 117

B = 63

C = 117

D = 63

Armoni took a quiz. On her quiz, she got a 95%. If there were 20 questions on the quiz, how many did Armoni get correct?

Answers

Answer:

19 questions right

Step-by-step explanation:

95% > .95

.95 * 20 = 19

Armoni got 19 questions correct

hope it helps!

true or false:

Question attached:

Answers

Answer:

true

Step-by-step explanation:

(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15

Answers

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

correct answer is that i need help with this too.

Help Plz 10pts will be given

Answers

Answer:

Is the first one 3 over 7

Step-by-step explanation:

Find the product (у- 2)(5у2 + 3y - 1)

Answers

Answer:

5y^3 - 7y^2 - 97y + 2   <<<< Answer

Step-by-step explanation:

(у- 2)(5у2 + 3y - 1)

Multiply the three terms by y

5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y

Multiply the three terms by - 2

-2*5y^2 -2*3y - 2*-1

-10y^2 - 6y + 2

Now combine the like terms

5y^3 + 3y^2 - 10y^2 - y - 6y + 2

5y^3 - 7y^2 - 97y + 2

sinπ÷14×sinπ÷14×sinπ÷14​

Answers

Answer:

Step-by-step explanation:

??? do you need help or is this free points?

Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26

Answers

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian worked. How many hours did lilian work last week ? answer please !

Answers

Lilian worked 24 hours last week

She worked 24 hours 252/10.50 = 24
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