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2 years ago

What is the scale factor of the dilation

Mathematics

2 answers:

Fittoniya [83]2 years ago

8 0

The scale factor would be 2, since the image is 2 times bigger than the pre-image.

Hope this helps! :) I did this last year, so this is the correct answer! ;)

Darya [45]2 years ago

5 0

Answer: The answer is 2.

Step-by-step explanation: We are given to find the scale factor for the dilation of a triangle shown in the figure.

The triangle ABC is dilated to form the triangle A'B'C'.

To find the scale factor, we need to divide the length of one side of the dilated triangle A'B'C' by the length of the corresponding side of the original triangle ABC.

From the figure, we note that

AB = 5 units and A'B' = 10 units.

Therefore, the scale factor will be

$S_f=\dfrac{A'B'}{AB}=\dfrac{10}{5}=2.$

Thus, the answer is 2.

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If a population of dolphins increases at a constant rate of 1.5% every year for 20 years what will be the total percentage incre

hichkok12 [17]

Answer:

The population increased by 34.69% over 20 years.

Step-by-step explanation:

It is given that the population of dolphins increases at a constant rate of 1.5% every year for 20 years.

Formula for population increase:

$P=a(1+r)^t$

where, a is initial population, r is growth rate and t is time in years.

If the population of dolphins increases at a constant rate of 1.5% every year for 20 years, then the population after 20 years is

$P=a(1+0.015)^{20}$

$P=a(1.015)^{20}$

$P=1.346855a$

Where, a is the initial population.

The total percentage increase over the 20 years is

$\% change=\frac{P-a}{a}\times 100$

where, P is population after 20 years and a is initial amount.

$\% change=\frac{1.346855a-a}{a}\times 100$

$\% change=\frac{0.346855a}{a}\times 100$

$\% change=0.346855\times 100$

$\% change=34.6855$

$\% change\approx 34.69$

Therefore the population increased by 34.69% over 20 years.

6 0

2 years ago

The _______ is the basic geometric figure that is one-half the diameter of a circle. A. circumference B. line C. radius D. inter

Crank

I would say c radius

3 0

2 years ago

Read 2 more answers

8.8 - 3.4 with using mental method<br> step by step explanation

Scrat [10]

8.8-3.4=5.4

Just subtract 8-3 and 8-4 and you'll get 5.4

Hope it helps!

$*************************************************$

Brainliest please if you found my answer helpful! :)

4 0

2 years ago

A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle h

LuckyWell [14K]

The circumference of the outer edge of the path around the pool is 113.04 ft.

<h3>What is the circumference?</h3>

The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.

Given

A circular swimming pool has a radius of 15 ft.

There is a path all the way around that pool that is three feet wide.

A circle has a radius of 15 feet.

A larger circle goes around the smaller circle that is 3 feet wide.

The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.

The radius of the outer edge of the path around the pool = 15 + 3

The radius of the outer edge of the path around the pool = 18ft

The circumference of the outer edge of the path around the pool is;

$\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft$

Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.

To know more about circumference click the link given below.

brainly.com/question/5023328

8 0

1 year ago

The initial population of a town is 2500, and it grows with a doubling time of 10 years. What will the population be in 8 years?

alisha [4.7K]

2500x0.80=2000 so i think it would be 2000 in 8 years

or if youre adding the 2000 to the already existing 2500 then it would be 4500.

4 0

2 years ago