Ford Motor Company sells the Fusion SES for $24,400. The Fusion Hybrid sells for $29,975. What is the percentage increase in pri

Answer:

Translate the circles so they align at a common center and subsequently enlarge circle Y using a scale factor of 3 ⇒ 3rd answer

Step-by-step explanation:

* Let's describe how to approach this problem

- To establish that all circles are similar, a translation and a dilation factor are necessary to align one circle with another

- We can reposition the circles to coincide at the center and then expand one of the circles by the defined scale factor, with the center of dilation being the common point for all circles.

* Let's resolve the issue

∵ Circle X displays a radius of 6 units

∵ Circle Y has a radius of 2 units

- Initially, we shift the circles so they coalesce at a central point

∴ We utilize translation to place the centers of both circles at the same location

- Determine the dilation factor based on the different radii of the circles

∵ The radius of circle X measures 6 units

∵ The radius of circle Y measures 2 units

∴ Therefore, the scale factor is calculated as 6/2 = 3

∴ Enlarge circle Y by a scale factor of 3

* The actions that affirm the circles are similar are as follows;

  Translate the circles so they share a common center point, and

  enlarge circle Y by a factor of 3.

Answer:

Circle diameter = 1.6 Cm

Detailed explanation:

Information provided:

Distance from the first to the third coin = 3.2 cm

Question to solve:

What is the diameter of each coin?​

Calculations:

Total number of circles = 3

According to the diagram, the space between the first and third coins measures 3.2 cm.

Thus,

Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle

Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle

Space = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter = 2 × radius

Diameter = 2 × 0.8

Diameter = 1.6 Cm

Response:

Refer to the figure attached.

Step-by-step explanation:

Each portion is treated as a function.

Let x represent the hours worked in a day

The company packs 80 boxes of toys each hour during the first three hours. Thus, y₁ = 80x, for x ∈ [0,3]

After three hours, the total boxes packed = 80 * 3 = 240

They pause packaging for two hours for a training session. Therefore, y₂ = 240, for x ∈ [3,5]

Next, for the subsequent four hours, they pack 20 boxes of toys hourly

y₃ = 20x + c, for x ∈ [5,9]

To determine c, equate y₂ and y₃ at x = 5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 = 240 - 100 = 140

∴ y₃ = 20x + 140, for x ∈ [5,9]

Consequently,

y₁ = 80x, for x ∈ [0,3]

y₂ = 240, for x ∈ [3,5]

y₃ = 20x + 140, for x ∈ [5,9]

The graph plotting the piecewise function that depicts the described situation is shown in the attached illustration.