A scale model of a building is 8 inches tall. The actual building is 120 feet tall. What is the scale factor of the model? (1ft. = 12 in.)​

Answers

Answer 1

Answer:

1:180

Step-by-step explanation:

We start by multiplying the 120 feet by 12 inches to get the height of the building in inches, which is 1440.

Then, we have a ratio of 8:1440, which simplifies to 1:180 when we divide 1440 by 8.

Answer 2

The required scale factor of the given model is 1/180.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

A building scale model is 8 inches tall. The original structure stands 120 feet tall.

Here 1 foot is equal to twelve inches which is given in the question.

As per the given situation, the required solution would be as :

Firstly we have to multiply 120 feet by 12 inches to obtain the building's height in inches, which is 1440.

The result is an 8/1440 ratio, which simplifies to 1/180 when 1440 is divided by 8.

Therefore, the required scale factor of the given model is 1/180.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ2


Related Questions

can you help me with this, please? ​

Answers

Hello! I will help you. ALL of the numbers are Rational numbers.

Irrational numbers are numbers which have infinite digits that are not in an order.

0.11111111111 is in an order as it always goes like 1 more digit and it’s also 1


so yeah could you mark me as the brainliest

someone give me the answeres ill mark brainliest if correct :)

Answers

Answer:

1) True

2) false

3) false

4) faIse

Did I give right answer or not please tell me ok

A parking ticket in Baltimore charges $5.50 for the first hour and 1.75 for every hour after that how much will it cost to park for three hours?

Answers

Answer:

$9.00

Step-by-step explanation:

1.75 x 2 = 3.5+5.5= 9

what is the slope of this graph?​

Answers

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = [tex]\frac{4-2}{1-3}[/tex]

          = (-1)

Therefore, slope of the line is (-1).

A can of juice is 6 inches high, and its base has a diameter of 4 inches. What is the volume of the can

Answers

Answer:

73.36

Step-by-step explanation:

A can of juice is 6 inches high

The diameter is 4

Radius= 4/2

= 2

Hence the volume of the can (cylinder,) can be calculated as follows

= πr^2h

= 3.142× 2^2 × 6

= 73.36 inches

Work out the percentage change when a price of £10 is increased to £14

Answers

Answer:

hmmm well.

Step-by-step explanation:

they added £4

Answer:

40%

Step-by-step explanation:

The formula for percentage change is given by:

[tex]\boxed{\text{Percentage change}=\frac{\text{New}-\text{Original}}{\text{Original}}\times100\% }[/tex]

In this case, the original price is £10 while the new price is £14.

Substitute the values into the formula:

Percentage change

[tex]=\frac{14-10}{10} \times 100\%[/tex]

= 40%

To learn more about percentage change, check out: https://brainly.com/question/26288335

The table shows the scoresof 20 students in a test, work out the mean score

Answers

Answer:

2.7

Step-by-step explanation:

hope you understand if you don't understand tell me I'll try again.

Which is equal to 5 3/8

Answers

Answer:

43/8

Step-by-step explanation:

Answer:

[tex]\frac{43}{8}[/tex]

Step-by-step explanation:

5 [tex]\frac{3}{8}[/tex] = [tex]\frac{5 x 8 + 3}{8}[/tex]  = [tex]\frac{43}{8}[/tex]

A rectangle’s dimensions are 7y – 10 and 20 – 6y. What is the perimeter of the rectangle in simplest form?

Answers

awnser

y + 10

Step-by-step explanation:

cause math says so

Show your organized detailed work on a separate sheet of paper. Solve for
the variable.
-5 = 1/7a

Answers

Answer:

-35

Step-by-step explanation:

[tex]-5 = \frac{1}{7}a\\-35 = a[/tex]

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

Y = 2x + 3 The 3 represents
a. slope
b. y-intercept
c. both
d. neither

Answers

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

B. Y-intercept
Is the answer

pls help asap. 1/3s=1/5 what is “s”

Answers

Answer:

3/5

Step-by-step explanation:

s = 1/5 / 1/3

s = 1/5 * 3/1 = 3/5

June uses 12 eggs to make cupcakes. She uses four eggs for each batch of cupcakes. Which expressions can be used to find the number of batches she makes?

Answers

Answer:

3 batches

Step-by-step explanation:

Given that :

Let Number of batches of cupcakes made = x

12 eggs was used to make x batches

Number of eggs used per batch = 4

If 4 eggs was used for a batch :

Number of batches of cupcakes made :

12 eggs / 4 eggs

= 3 batches

Solve for x
Solve for x
Solve for x
Solve for x

Answers

82+2x=180
2x=98
x=49
answer is x=49

X=49°

Step-by-step explanation:

we have an isosceles triangle

thus our equation is

x+x+82=180°

=>2x+82°=180°

cancel 82 from both sides

=>2x=98

divide both sides by 2

therefore

X=49

Plz help will make the Brainly

Answers

Answer:

It's the first one and the fourth one.

Step-by-step explanation:

Answer:

A, D

Step-by-step explanation:

If 2x + 7y = -5 is a true equation, what would be the value of 2x + 7y + 10?

Answers

Answer:

That is not a true equation because 2x + 7y +10 has no value.

In the diagram below, point D is the center of the circle, and the measure of BC is 50".
D
B
What is the measure of ZACD?
A. 65
B.
40
C.
25
D.
50"

Answers

Answer:

  C.  25°

Step-by-step explanation:

A useful relation for this geometry is "an exterior angle of a triangle is equal to the sum of the remote interior angles." The measure of arc BC is the same as the measure of central angle BDC, which is an exterior angle of triangle ACD.

__

Triangle ACD has sides AD and CD that are radii of the circle, so it is an isosceles triangle with angle A ≅ angle C. Exterior angle BDC is the sum of those congruent angles:

  ∠BDC = ∠CAD +∠ACD

  50° = 2×∠ACD

  25° = ∠ACD . . . . . . . . divide by 2

Round
$34.7691 to the nearest cent.

Answers

Answer:

$34.77

Step-by-step explanation:

Find the surface area of the net. Each square is one square meter. Help please!!

Answers

Answer: 41 meters squared

Step-by-step Explanation:

First, just find the area of the rectangle:

7 x 5 = 35

Then first the area of the triangles, 3 x 2/2 x 2 = 6

all together the surface area is 41 meters squared.

40 Points!!!!!!!!!!
For the polynomial, list each real zero and its multiplicity. Determine whether the graph
crosses or touches the x-axis at each x -intercept.
f(x) = 3(x + 7)(x + 3)^2?
A? B? C? D?

Answers

Answer:

B

Step-by-step explanation:

You find the multiplicity by looking at the power of the original root. You can imagine it as [tex](x+7)^1(x+3)^2[/tex]. Now set those equal to 0 to find the value of them as roots.

[tex]x+7=0\\x+3=0[/tex]

Solve them both and you get:

[tex]x=-7\\x=-3[/tex]

Now as we saw in the origin of the roots above that (x + 7) was raised to the first power. That means it has a multiplicity of one, which also means it crosses when it reaches the x-axis. (x + 3) however had a multiplicity of 2, since it was squared. That means that (x + 3) will touch and turn the x-axis.

Therefore the answer is B since that agrees with everything we said.

On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places

Answers

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

In if GS ⊥ XJ and XJ⊥EA what is true about GS and EA

Answers

Answer:

([tex]GS[/tex]) || ([tex]EA[/tex])

Step-by-step explanation:

When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines ([tex]GS[/tex]) and ([tex]EA[/tex]) are parallel.

The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.

In how many ways can a supermarket chain select 4 out of 12 possible sites for the construction of a new supermarket?

Answers

Answer:

6

Step-by-step explanation:

If a rescue vessel has enough provisions for 10 people to survive for 6 days, how long will
12 people survive on the vessel?​

Answers

10 people x 6 days =60 rations so 60 rations / 12 people equals 5 so 5 days

What is the measure of angle C

Answers

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[tex]bit.^{}ly/3dXyuz8[/tex]

PLEASE 100 POINTS Write the polynomial in factored form and explain how you did it.

Answers

Answer: f(x)=(x-5)(x+5)(x+2)

Points given: (5,0),(-5,0),(-2,0)
To get the factors do x- the roots above:
Solve for x:
X+5=0 X=-5
X-5=0 X=5
X-2=0 X=2
Now we have (x-5),(x+5),(x+2)
Another point that seems to be given is (3,-80)
F(3)=-80= a(3-5)(3+5)(3+2)
-80=a(-2)(8)(5)
-80=a(-80) (Solve for a)
-80/-80=a(-80)/-80
1=a
F(x)=1(x-5)(x+5)(x+2)

6. How far is it from the point (-5, 7) to the point (6,-2)? Round your answer to the nearest tenth.

Answers

Answer:

14.2 units

Step-by-step explanation:

Here x increases by 11 from -5 to +6.  This is the length of the horizontal leg of a right triangle.  Then y decreases by 9 from 7 to -2.  This is the length of the vertical leg.  The hypotenuse of this triangle may be found using the Pythagorean Theorem:

11^2 + 9^2 = (hypotenuse)^2, or

hypotenuse = √(121 + 81) = √202 ≈ 14.2 units

Answer:

≈ 14.2

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, - 2)

d = [tex]\sqrt{(6+5)^2+(-2-7)^2}[/tex]

  = [tex]\sqrt{11^2+(-9)^2}[/tex]

  = [tex]\sqrt{121+81}[/tex]

  = [tex]\sqrt{202}[/tex]

  ≈ 14.2 ( to the nearest tenth )

write the formula for the surface area of a rectangular prism​

Answers

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

(9x9+17x9+17x9)

=387

=2x387=774

A=774

what is the answer to this problem what is a protractor to find a angle

Answers

Answer:

what? im confused

Step-by-step explanation:

Answer:

A protractor is a tool used to measure angles in degree. There are two basic types of protractors. One that measures 180º (half a circle). One that measures 360º (a full circle).

help please i need this done soon!! tysm!!

Answers

Answer:

70

Step-by-step explanation:

Opposite Angles are supplementary in cyclic quadratlerials.

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