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3 years ago

What is the scale factor in the dilation?

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

The scale factor of the given dilation is 3.

Step-by-step explanation:

Step 1:

In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.

Step 2:

So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.

The scale factor $=\frac{9}{3} = 3.$

So the scale factor is the third option 3.

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Can someone help me please i didnt learn this

OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

1.) f (x) = 0.5 (7/3)^x

↓

always increasing

2.) f (x) = 0.9 (0.5)^x

↓

always decreasing

3.) f (x) = 21 (1/6)^x

↓

always increasing

4.) f (x) = 320 (1/6)^x

↓

always decreasing

EXPLANATION:

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0

3 years ago

Line d is parallel to line c in the figure below Which statements about the figure are true? Select three options

Marianna [84]

Line d and c are bother parallel but the three options would be them

4 0

3 years ago

Round to 2 decimal places *

EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

5 0

3 years ago

A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years

Dennis_Churaev [7]

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3) ... combine like terms

30 = 3M + 3 ... subtract 3 from both sides

27 = 3M ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

6 0

3 years ago

What is a force described by

Dima020 [189]

Answer:

a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).

Step-by-step explanation:

4 0

3 years ago

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