What is the scale factor for the set of similar figures? Type in your answer as a decimal.

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Answer 1

Answer: to find the scale factor, the main formula which is used for solving such a problem is as follow: If the initial shape is greater than the final's, so we use SF=SL / LL. SF= scale factor, SL=Smaller length, LL= Larger legth. According to our case, the smaller length is SL=6mm, and the Larger length is LL=15mm, so SF=6mm/15mm=2/0.4mm.The answer is SF=0.4mm

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An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long and 1/6 wide. The actual dimensions of pavers are shown: 1/8 ft and 1/4ft. What is the constant of proportionality that relates the length of a paver in the model and the length of an actual paver? What is the constant of proportionality that relates the area of an actual paver?

Answers

Answer:

The constant of proportionality between the actual dimensions of the pavers and the model is 9.

The proportionality constant for the area is 81.

Step-by-step explanation:

To solve this problem, let's transform all quantities to the same units (inches)

The actual dimensions of the pavers are:

$Width = (1)/(8) ft * (12in)/(1 ft) = (3)/(2) in\n\n Length = (1)/(4) ft * (12in)/(1 ft) = 3in$

Then we divide the real dimensions between those of the model:

Width:

$((3)/(2))/((1)/(6))= 9$

Long =

$(3)/((1)/(3))= 9$

Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.

Actual length = model length * (9)

The "A" area of a paver is the product of its width multiplied by its length.

So:

(real width) * (real length) = ((9) Model width) * ((9) model length)

(real width) * (real length) = $9 ^ 2$ * (Model width) * (model length)

(real area) = 81 * (Model area)

The proportionality constant for the area is 81.

Answer:

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area 1/81.

Step-by-step explanation:

Area of rectangle is

$A=length* width$

Dimensions of paver in model:

$Length=(1)/(3)in$

$width=(1)/(6)in$

Area of model

$A=length* width$

$A=(1)/(3)* (1)/(6)=(1)/(18)$

The area of the model is 1/18 square inches.

We know that 1 ft = 12 inches

Actual dimensions of paver:

$Length=(1)/(4)ft=3 in$

$width=(1)/(8)ft =1.5in$

Actual area is

$A=length* width$

$A=3* 1.5=4.5$

The actual area is 4.5 square inches.

The constant of proportionality that relates the length of a paver in the model and the length of an actual paver is

$\text{Constant of proportionality of length}=\frac{\text{Length of model}}{\text{Actual length}}=(1/3)/(3)=(1)/(9)$

The length of a paver in the model and the length is 1/9.

The constant of proportionality that relates the area of an actual paver is

$\text{Constant of proportionality of area}=\frac{\text{Area of model}}{\text{Actual area}}=(1/18)/(4.5)=(1)/(81)$

The constant of proportionality that relates the area 1/81.

Can you please solve this

Answers

= 8x-10-4 That’s is the answer

Is 810 divisible by 2,3,4,5,6,9,and 10

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It is divisible by 2, 3, 5, 9, and 10

Is 83 ft larger than 786 in???

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83 ft is larger than 786 in.

To convert feet to inches, multiply 83ft by 12 because there are 12 inches in a foot.

83 x 12 = 996

996 in > 786 in

83 ft= 996 in
786 in= 65.5 ft

83 ft is larger than 786 in

How is a constant of proportionality like a unit rate?

Answers

Because the unit rate basically describes what one of something would be.
But the proportionality describes how many times the one of something can be multiplied.

On Tuesday, Donovan earned $9 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $31.50. How many hours did he babysit on Saturday?