The dashed figure is a dilation of the solid figure. Which of the following statements is true?a.The dilation is an enlargement.
b.The dilation is a reduction.
c.The dilation has a scale factor of 1/3.
d.The dilation has a scale factor of 3.
e.The dilation has a scale factor of 9.

Answers

Answer 1
Answer:

The dilation is an enlargement and the dilation has a scale factor of 3. Therefore, options A and D are the correct answer.

From figure given below, square C has side of length 3 units.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From given figure we can see the dashed figure, square has side of length 9 units.

Here we understood that the image has enlargement.

Now, scale factor = Dimensions of new image ÷ Dimensions of original image

= 9/3

= 3 units

Therefore, options A and D are the correct answer.

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Answer 2
Answer:

Answer:

The dilation is also an enlargement.

Step-by-step explanation:


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Find the percent of change in altitude if a weather balloon moves from 50 ft to 95 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.A. 90%; increase

B. 55.9%; decrease

C. 90%; decrease

D. 76.5%; increase

Answers

The change of the weather balloon would be 90% increase. to get the percentage of change we have to subtract 50 ft to 95 ft, it will then give us the 45 ft change. Then we have to divide 45 ft by 50 ft times 100, it will give us 90%. Then since the change and percentage of change is positive then the change could be describe as increasing.

Which of the following numbers is a power of 10?A : 20

B : 500

C : 1.000

D : 1.010

Answers

C is the correct answer.

E volume of the​ object, when you reduce the length of your ruler by a factor of 8​, the number of volume elements increases by a factor of 512 what's the dimension

Answers

Answer:

D=3.88

Step-by-step explanation:

We can use this equation:

N=R^(D)

Where:

  • N is the increase factor (N=512)
  • R is the reduce factor (R=8)
  • D is the dimension

512=5^(D)

We just need to solve it for D

D=log(512)/log(5)

D=3.88

Therefore the dimension will be 3

I hope it helps you!

Answer:

The dimension is 4

Step-by-step explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4

The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to the center of the circle

Answers

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

Final answer:

To find the distance from each chord to the center of the circle, use the Pythagorean theorem to calculate the height of the isosceles triangle formed by the chord and two radii.

Explanation:

To find the distance from each chord to the center of the circle, we first need to find the radius of the circle. Since the diameter is given as 23 inches, the radius would be half of that, which is 11.5 inches. Now, let's consider one of the chords. When a chord is drawn in a circle, it forms an isosceles triangle with the center and two radii. The distance from the chord to the center of the circle is the height of this isosceles triangle. Using the Pythagorean theorem, we can find the height:



d² = r² - (c/2)²


where d is the distance from the chord to the center, r is the radius, and c is the length of the chord.



Plugging in the values, we get:


d² = (11.5)² - (14/2)²


Simplifying this equation gives:


d² = 132.25 - 49


d² = 83.25



Taking the square root of both sides gives:


d ≈ √83.25 ≈ 9.12 inches

Learn more about Finding distances in a circle here:

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If As income is 20% more than Bs income, how much percent is Bs income less than As income

Answers

As\ is\ 120\%\ Bs\n\n120\%=1.2\to(As)/(Bs)=1.2\n\n(As)/(Bs)=(12)/(10)\to(Bs)/(As)=(10)/(12)\to(Bs)/(As)=(5)/(6)\n\n(5)/(6)\cdot100\%=(500)/(6)\%=83(1)/(3)\%\n\n100\%-83(1)/(3)\%=16(2)/(3)\%\n\nAnswer:Bs\ income\ is\ 16(2)/(3)\%\ less\ than\ As\ income.

What is the value of x?

Answers

Answer:

  x = 7 cm

Step-by-step explanation:

The two triangles are similar so ...

  x/(6 cm) = (42 cm)/(36 cm)

Multiplying by 6 cm, you get ...

  x = (6 cm)(42 cm)/(36 cm) = (6 cm)(7/6)

  x = 7 cm