You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?

Answers

Answer 1

Given:

Length of the building  = 120 feet

Width of the building = 40 feet

Length of the model = 6 feet

To find:

Width of the model.

Solution:

The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.

Let x be the width of the building.

[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]

[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]

[tex]20=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{20}[/tex]

[tex]x=2[/tex]

Therefore, the width of the model is 2 feet.


Related Questions

232.7449 rounded to the nearest whole number? please help​

Answers

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

What is an equation of the line that passes through the points (-4,-2)
and (8,1)?

Answers

Answer:

y=0.25x-1

Step-by-step explanation:

y=mx+b

slope = 0.25

y = 0.25x+b

the y intercept = -1

y = 0.25x+-1

y = 0.25x-1

if y=27 when x= 8 find y when x =11

Answers

Answer:

37 1/8

Step-by-step explanation:

The problem probably assumes direct variation

y=kx

IF so, then plug in the values and solve for k

27=k(8)

k = 27/8

y= (27/8)x.  Now let x = 11

y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8

y = 37 1/8

the problem is making some assumption about the relation between x and y.  The simplest assumption that's likely is direct variation,  that x and y are linearly related.  The graph is a straight line through the origin with slope = 27/8

23 points!!!!!!

If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.


2.5 cm


2 cm


1 cm


4 cm

Answers

Answer:

2.5cm and 4cm

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

pls help help help help help help ​

Answers

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100

Answers

I think it would be the square root of 100

Answer:

100 feet

Step-by-step explanation:

I did the test hope it helps a lot have a good day

Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)

Answers

Answer:

24 pints

Step-by-step explanation:

128 ounces · 3 = 384 ounces

384/16 = 24 pints

Answer:

There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.

Step-by-step explanation:


help pppppppppp


don’t mind harry potter and coco melon

Answers

Answer:

It is the forth one

Step-by-step explanation:

to long to explain

Answer:

Step-by-step explanation:

Number 4

Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Your picture is not loading or is blank please ask another question.

a+b=8
3a - 45=3

And is it good for the elimination method

Answers

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

GIVING BRAINLIEST!!!!!

What type of triangle is shown in the image?

Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle

Answers

Answer:

Well wheres the image?

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Someone said so

In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?​

Answers

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

Answers

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}

Answers

Answer:

(2,8), (3,5),

Step-by-step explanation:

PLEASEE HELP ME FAST

Answers

Answer:

Step-by-step explanation:

2/3 ÷ 1/3

=2/3 × 3/1 (recipracol)

=6/3

=2

Answer:

2 and [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

when you divide by a fraction you just multiply by its reciprocal

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]

then just solve

[tex]\frac{6}{3}=2[/tex]

for the second one do the same thing

[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]

Plsss help will mark brainliest

Answers

Answer:

27. 18.62

28. 200%

29. 136

30. 50

31. 12.5%

32. 750

33. 5.4

Step-by-step explanation:

please help with this question?!?

Answers

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

Remember to find the area it is length x width

9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416

Does this table show a proportional relationship? If so, what is the constant of proportionality? If not, explain.

Answers

Answer:

Yes it does

Step-by-step explanation:

This table has a proportion of 4 since from the weeks and height are times by 4

Example from the table:

Week two has a height of 8 since 2 times 4 is 8

is
5x^2y^3z^5
a polynomial
explain

Answers

Answer:

no

Step-by-step explanation:

A polynomial is a combination of terms separated by  +  or  −  signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

no it is not a polynomial

I need help on this I’ll report if a link

Answers

Answer:

72.5°

Step-by-step explanation:

180° is a straight line. Subtract 35° from 180°, you get 145°, now divide 145° by 2, you will get 72.5°.

Hope this helped.

The sum of all angles is 360

we have one angle given which is 35 degrees the angle infront of it is also the same as opposite angles are always equal

so x= 35

for y as said earlier opposite angels are equal so the empty 2 angles are also y

so now we have

[tex]4y+35+35=360\\4y+70=360\\4y=290\\y= 72.5[/tex]

so y=72.5 degrees

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

The answer to your question would be...

D. $8.15

Answer:

D. 8.15

Step-by-step explanation:

8.25 times 10 = 82.5

82.5-6.5=76

76+5.5=81.5

81.5/10=8.15

a number increased by 8 is 21 help

Answers

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.

Answers

Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

ill give brainliest

Length = 11

Width = 4

Height = 7

What is the vloume?

What is the surface area?​

Answers

Answer:

volume = 308 units^3

surface area = 298 units^2

Can any of these get round to the Nearest tenth

Answers

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.

Answers

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?

Answers

Answer:

470.81 or 470.815

Step-by-step explanation:


Which fraction is equivalent to 3/8

Answers

Answer:

6/16

Step-by-step explanation:

3/8 x 2 = 6/16

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