An engineer makes a model of a bridge using a scale of 0.5 cm = 3 feet. The length of the actual bridge is 123 feet. What is the length of the model?

Answers

Answer 1

Answer:

20.5 cm

Step-by-step explanation:

Set up a proportion where x is the length of the model in cm:

[tex]\frac{0.5}{3}[/tex] = [tex]\frac{x}{123}[/tex]

Cross multiply and solve for x:

3x = 61.5

x = 20.5

So, the model's length is 20.5 cm


Related Questions

Find cosX and cosZ. Write each answer as a fraction and as a decimal. Round to four decimals places, if necessary. Fractions to reduce and use /.

Answers

Answer/Step-by-step explanation:

Recall the acronym, SOHCAHTOA.

✔️Cos X = adj/hyp (CAH)

Adj = 10

Hyp = 26

Cos X = 10/26

Simplify

Cos X = 5/13 (as a fraction)

Cos X = 0.3846 (as a decimal to 4 d.p)

✔️Cos Z = adj/hyp (CAH)

Adj = 24

Hyp = 26

Cos Z = 24/26

Cos Z = 12/13 (as a fraction)

Cos Z = 0.9231 (as a decimal to 4 d.p)

if someone could explain to me how to do this

Answers

3 will be your answer

I need help factoring something

Answers

Answer:

x^4

Step-by-step explanation:

Hope this is right ! :)

Help please this is urgent

Answers

Answer:

64 degrees

It says I have to have over twenty characters. this sentence does not have to be read

Answer:

it should be 64 if i am seeing it correctly

Step-by-step explanation:

its before 66 so the lowest one is 64

Which number line best represents the solution to the inequality
3.3 w - 9 > -22.2?

Answers

Answer:

Step-by-step explanation:

3.3w - 9 > -22.2

3.3w > -13.2

w > -4

The number line w + 4 = 0 best represents the solution to the inequality

3.3 w - 9 > -22.2

What is a linear inequality?

A linear inequality represents all the possible values of a linear variable.

Given,

            3.3 w - 9 > -22.2

or          3.3 w > -22.2 + 9

             3.3 w >  -13.2

                   w >  -13.2/3.3

                   w >  -4

Hence, the required line is w + 4 = 0 .

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SOMEBODY HELP ME PLS? Anyone? :D

Answers

Answer:

Angle B is congruent to angle C

please help me if you know the answer

Answers

Answer:

it's c

Step-by-step explanation:

when doing expression the x means a unknown number and c doesn't have a number so it's C

Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)

A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees

Answers

............The answer is A

Multiply. Write the answer in simplest form. 1/5 . 2/9

Answers

2/45 in simplest form

Find the distance between the points (5,-6), (-3,12)

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{97}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add:                                                         [tex]\displaystyle d = \sqrt{(-8)^2+(18)^2}[/tex][√Radical] Evaluate Exponents:                                                                    [tex]\displaystyle d = \sqrt{64+324}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{388}[/tex][√Radical] Simplify:                                                                                     [tex]\displaystyle d = 2\sqrt{97}[/tex]

If $2000 is invested at 4% interest compounded monthly, the value of the investment after t
years is given by the expression below. What is the value of the investment after 3.5 years?
2000(4)

Answers

The final balance is $2,300.01.
The total compound interest is $300.01
I’m very very sorry if I’m wrong I’m not that smart

You are the forecaster responsible for hurricane warnings on the southeast corner of the United States in September. Anyone that has lived in North Carolina for a while knows what is it is like at that time of the year, for example. The cost of issuing a warning like a hurricane involves people taking shelter, business stopping, the areas's economy paused - a moderate cost of C dollars. You also know the preventable loss should a hurricane come and the area be unprepared: property damage, lives lost -an extremely high loss of L dollars. Your weather forecast indicates hurricane with a probability of p.
(a) Should you issue a warning? Use expectations to create a decision rule for whether issuing or not a warning. Explain your rule.
(b) For what kind of extreme weather warnings is the decision more likely to be "do not warn" than "warn"? Explain.

Answers

Answer:

A)

C ≤ LP   issue warning

C > LP do not issue warning

B )

For ' do not warm ' the condition will be that C is moderate while L is extremely high

Step-by-step explanation:

Assuming Y is an indicator that represents if a warning is issued or not

probability of occurrence of Hurricane = p

where;  C = cost of issuing a warning

             L = cost incurred for not issuing warning

A) Determine if you should issue a warning or not

In this scenario there are about four possible cases

'do not warn' , ' Hurricane did not occur ' : ( 1-y) ( 1-p)' do not warn ' , ' Hurricane occurred ' : ( 1-y ) p ' warn' , ' Hurricane did not occur' : y ( 1-p)' warn', ' Hurricane occurred' : y (p)

hence the expected cost ( E ) = L ( 1 - Y )p  + Cy

when warning is issued = Y ( 1 )

expected cost ( E ) = C

assuming warning is not issued then Y = 0

hence expected cost ( E ) = LP

Hence the decision rule will be :

C ≤ LP   issue warning

C > LP do not issue warning

B) For ' do not warm ' the condition will be that C is moderate while L is extremely high ( as seen in the question ) because this will make  C/L to be very small. from the condition C > LP  and this simply means that the probability of the Hurricane occurring is very small

Please find this answer!

Answers

Answer:

52

Step-by-step explanation:

How many sides does a regular polygon have if each exterior angle has a measure of 15° ?

Answers

Answer:

The answer is 24

This is very important and I need HELP!

Answers

Answer:

A

Step-by-step explanation:

1/144

.......... .......

Answer:

A

Step-by-step explanation:

. Simplify: (-4a+ b–2c) –(3a+ 2b–c)

Answers

Answer:

(-4a + b – 2c) – (3a + 2b –c)  

-4a+b-2c-3a-2b+c  

-7a-b-c

Step-by-step explanation:

How can I find the area for this shape please help!

Answers

Answer:

12cm²

Step-by-step explanation:

a=l·w

the easiest way to find the area is to break up the shapes.

the smaller shape is 1cm by 2cm

1·2= 2 cm

the larger shape is 5cm by 2cm

5·2= 10 cm

add them

2+10= 12cm

Answer:

12cm^2

Step-by-step explanation:

These are two rectangles if we divide.

So,

Area of rectangle = length × breadth

So we will name the bigger rectangle as R1 and the smaller rectangle as R2.

So,

Area of R1 = l × b

Area of R1 = 5×4

Area of R1 = 5 × (4-2)

Area of R1 = 5 × 2

Area of R1 = 10 cm^2

Area of R2 = l × b

Area of R2 = (4-2) ×1

Area of R2 = 2 × 1

Area of R2 = 2cm^2

So,

Area of complete figure = Area of R1 + Area of R2

Area of complete figure = 10 + 2

Therefore, Area of complete figure = 12cm^2

Hope it helps!!!!

what is 3 to the power -4

Answers

4/3 tour is the right answe

Answer:

0.01234567901

Step-by-step explanation:

A 4th grade class took a field trip to a science museum. There are 24 students in the class. Each students purchased $9 ticket for the museum and a box lunch, which was also $9.

Answers

9+9=18 is the cost per student. multiply that by the total students of 24 and you get 432

Answer:

the nerd above me was wrong its 500 lol don tlisten to nerd ok

Step-by-step explanation:

big brain lol

At a toy story,Colton can buy a passage of 8 mini footballs for 10.40. The price per mini football is $ ?

Answers

Answer:

The 8-pack is a better value

Step-by-step explanation:

How many sides does a regular polygon have if each exterior angle has a measure of 15° ?

Answers

Answer:

24

Step-by-step explanation:

A polygon equals 360

360/15 = 24

What is 2/9 + 7/9 + 6/9 equal to

Answers

Answer:

15/9

Step-by-step explanation:

2/9+7/9+6/9

2×1, 7×1,6×1

2/9,7/9,6/9=15/9

If u want u can devide it

At Cascadia College, students need to take a 100 level Math and English courses plus an optional Philosophy course. In any quarter, the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 44
Given these constraints how many sections of each course should the college make available each quarter to meet demand?
Math sections =
English sections =
Philosophy sections =

Answers

Answer:

Math sections = 20

English sections = 16

Philosophy sections = 8

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of Math sections.

y is the number of English sections.

z is the number of Philosophy sections.

Available classrooms limit the total sections of all three courses to 44.

This means that [tex]x + y + z = 44[/tex]

4 less English sections than Math sections.

This means that [tex]y = x - 4[/tex]

In any quarter student demand for the optional Philosophy course is half as many sections as English sections.

This means that [tex]z = \frac{y}{2} = \frac{x - 4}{2}[/tex]

Finding the number of Math sections:

We have both y and z as functions of x. So

[tex]x + y + z = 44[/tex]

[tex]x + x - 4 + \frac{x-4}{2} = 44[/tex]

[tex]2x + \frac{x-4}{2} = 48[/tex]

Multiplying everything by 2

[tex]4x + x - 4 = 96[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20[/tex]

Then

[tex]y = x - 4 = 20 - 4 = 16[/tex]

[tex]z = \frac{y}{2} = \frac{16}{2} = 8[/tex]. So

Math sections = 20

English sections = 16

Philosophy sections = 8

WILL GIVE BRAINIEST

Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?

Answers

Answer:

Multiplication (150x4=600 25x4=100%)

Answer:

\frac{25}{100}  \times x = 150

So,

x =  \frac{150 \times 100}{25}  = 600

Hank will use this equation.

Ans: A total of 600 pages are in the book.

Step-by-step explanation:

life is slavery

all your life you work

first its preschool
then its school
then college
then you go off to work
then you retire and rot away in your kids' house or in a retirement home
then you die

one day you are a 13 year old rocking out to nirvana then you die

Answers

i don't know how to feel about this but this is deep

bro- are you ok? like really- are you good?

2. Simplify: 12(3y + x)

Answers

Answer:

36y+12x

Step-by-step explanation:

Answer:

36y + 12x

Step-by-step explanation:

The measure of angle STV is 160. The measure of angle STW is 105. The measure of angle WTV is x. Find the value of x

Answers

It could be the ###%%%%%% for the 7888

Simplify: 13 + 2 + m + 7

Answers

Answer:

22+m or m+22

Step-by-step explanation:

add all them up but the M

22 + m

First we are going to switch up the order like this to be able to add the like numbers together:

13 + 2 + 7 + m

Next, we add the like numbers:

15 + 7 + m

22 + m

And so 22 + m will be your answer because it is in the simplest form.

Hope this helps! Good luck! :))

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?



First equation: 6x-5y=17

Second equation: 7x+3y=11

The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.

Answers

Answer:

C. The first equation should be multiplied by 7 and the second equation by -6.

Step-by-step explanation:

have a great day peeps :)

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The correct option is C.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

In the two of the given equation, to eliminate x we need to make the coefficients of x in both the terms equal, therefore, if we take the LCM of the two terms then it will be 42.

Thus, to make the coefficient of x equal to 42, we need to multiply the first equation should be multiplied by 7 and the second equation by -6.

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What is 8/9 times 1/2

Answers

Answer:

4/9

Step-by-step explanation:

8*1/9*2 = 8/18=4/9

Answer:

0.4444444444444(repeating)

Step-by-step explanation:

good luck on your homework/test!

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