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Answer:

The ratio of the perimeters is 3

The ratio of the areas is 9

Step-by-step explanation:

Given:

Dilate a triangle with vertices (0, 0), (0, 2), and (2,0) using the scale factor k = 3.

To Find:

What is the value of the ratio (new to original) of the perimeters? the areas?

Solution:

What is the value of the ratio (new to original) of the perimeters?

Since, two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let the following be:

k        ⇒          the scale factor

x        ⇒          the perimeter of the new triangle

y        ⇒          the perimeter of the original triangle

Knowing that:

k = x/y

Thus:

k = 3

Now Substitute:

x/y = 3

-------------------------------------------------------------------------------------------------------------

What is the value of the ratio (new to original) of the areas?

Since, two figures are similar, then the ratio of its areas is equal to the scale factor squared.

k       ⇒          the scale factor

x        ⇒          the area of the new triangle

y        ⇒          the area of the original triangle

k ² = x/y

Since,

z = 3

Then,

x/y = 3 ²

3 ² means to 3 × 3

x/y = 9

-------------------------------------------------------------------------------------------------------------

Kavinsky

Explanation:

Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.

Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).

Answer:

Answer is 1008

Step-by-step explanation:

Given,

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container

The volume of big container is the LCM of the 5 given containers

LCM (16,72,12,24,56) = 1008

Therefore the capacity of the bigger container is 1008 litres.

Step-by-step explanation:

the answer is 100 litters

Answer:

2r, where r is the number of red marbles

Step-by-step explanation:

Since there is twice as many blue marbles as red marbles, it infers blue marbles = 2 × red marbles.

Answer:

Each person will recieve between 3 and 4 liters

Step-by-step explanation:

Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.

27/8 = 3.375

3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade

Answer: A

Step-by-step explanation: Exact on the number line

Answer: A

Step-by-step explanation: The answer is A you have to look at the easy numbers first like -4 and 1/2 try to find them on the line, a whole number will be one of the big lines,1/2 will be right in the between two whole numbers, 3/4 will me the little line right before a number and so on. You can use process of

elimination to make it easier.

The correct answers are:

B, D, and E.

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.

A square is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.

A rhombus is a parallelogram with all congruent sides.

Since a square is a parallelogram with all congruent sides, then every square is a rhombus.

A trapezoid is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.

Answer:

Equation C is the correct equation.

Answer:

Then the two numbers are -11 and -6.

Answer:

11   and   6

Step-by-step explanation:

x+ y = 17     or    y = 17-x

and

xy = 66       sub in   y = 17-x

x ( 17-x) = 66

-x^2 + 17x - 66 = 0     either factor this, or use quadratic formula to find

                                         x =  6     y = 11

Answer:

[tex] {x}^{2} - 3x - 10 = 0 \\ (x - 5)(x + 2) = 0 \\ \\ x - 5 = 0 \: - > x = 5 \\ \\ x + 2 = 0 \: - > x = - 2[/tex]

Answer:

A ≈ 194.8 units²

Step-by-step explanation:

the shaded area (A) is calculated as

A = area of outer circle - area of inner circle

   = πr₁² - πr₂² (r₁ is outer radius and r₂ the inner radius )

  = π × 13.5² - π × 4.5²

 = π(13.5² - 4.5²)

 = π(182.25 - 20.25)

 = π × 62

 ≈ 194.8 units² ( to the nearest tenth )

Answer:

(x+5)

Step-by-step explanation:

x^2 + 2x -15   =   (x+5)(x-3)

x^2 + 7x + 10 =    (x+5)(x+2)

Answer:

1/5

Step-by-step explanation:

Total Frequency is 14+21+70 = 105

Sewing has frequency of 21

21/105 = 0.2 = 1/5

Answer:

126 square feet

Step-by-step explanation:

Lateral Surface Area :

Perimeter :

Height : 4.5 ft

Solving :

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Astronomy has information and images from the New Horizons exploration of Pluto, the discovery of gravitational waves, the Rosetta Mission to Comet C-G, and many other recent projects in astronomy. The discussion of exoplanets has been updated with recent information—indicating not just individual examples, but trends in what sorts of planets seem to be most common. Black holes receive their own chapter, and the role of supermassive black holes in active galaxies and galaxy evolution is clearly explained. Chapters have been reviewed by subject-matter experts for accuracy and currency.

The required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.

Given that,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people) is to be explained.

Statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people), by going through certain iterations for the 95% credible interval for the number of people alive in the year 3000 CE will give the required interval.

Thus, the required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.

Learn more about Statistics here:
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Answer:

546

Step-by-step explanation:

Each square inch is equal to 6.5 square centimeters so you can multiply

84 × 6.5 = 546So, the area is 546 square centimeters.

Hope this helps =>

Answer:

[tex]541.93\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area in square centimeters

[tex]84\ in^2 * \frac{(2.54\ cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{(2.54)^2 * (cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{6.4516\ cm^2}{in^2}[/tex]

[tex]541.9344\ cm^2[/tex]

Answer: [tex]541.93\ cm^2[/tex]

Answer:

D. mayonnaise and nuts

Step-by-step explanation:

Answer:

D. Mayonnaise and nuts

Step-by-step explanation:

Mayonnaise and nuts

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!
☆
EDGE2022; Good Luck :3!!!

Answer:

I dont know

Step-by-step explanation:

I was looking for the same answer to this question☠

Answer:

2.5

Step-by-step explanation:

You can do this in an easier way than you may be thinking. You know that 1/000 is 1 mm, therefore to get 2,500, you multiply it by 2.5.

Answer:

[tex]1\ m[/tex]

Step-by-step explanation:

Step 1:  Determine the total millimeters

[tex]2 * 500\ mm[/tex]

[tex]1000\ mm[/tex]

Step 2:  Covert to meters

[tex]1000\ mm * \frac{1\ m}{1000\ mm}[/tex]

[tex]1\ m[/tex]

Answer: [tex]1\ m[/tex]

Answer:

B. 15

Step-by-step explanation:

The 5 is in the millions place. The 1 at left is in the 10 millions place.

That means 15 million.

Answer: B. 15

Answer:

Option B. 15

Step-by-step explanation:

To write it in words we have.

write in words: fifteen million, seven hundred and sixty-five thousand, one hundred and thirty-two

In Expanded Form:

     15,765,132 =

 10,000,000  

+ 5,000,000  

+ 700,000  

+ 60,000  

+ 5,000  

+ 100  

+ 30  

+ 2  

= 15,765,132

There you go the answer is Option B. 15

Hope this Helps! :3

Have a great day! :3

Answer:

3/12

Step-by-step explanation:

2/3 of the 3/4

=3/4×2/3

=6/12

=1/2

this is to say a half of the boys are wearing tennis shoes

since the total number of boys in the class is 3/4

1/2 of the 3/4

=3/12

Answer:

[tex]\huge\boxed{\bf{^6C_4 = 10combinations}}[/tex]

Step-by-step explanation:

Given:-

To find:-

Ans:-

[tex]\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!} [/tex]

[tex]\sf \to ^6C_4 = \frac{6!}{4!2!} [/tex]

[tex]\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}} [/tex]

[tex]\sf \to ^6C_4 = 2*5 [/tex]

[tex]\sf \to ^6C_4 = 10combinations[/tex]

[tex]\: [/tex]

[tex]\huge\colorbox{blue}{BlackPain} [/tex]

Add f and g together by combing like terms

answer: x^2 + 4x -13

Answer:

[tex](f+g)(x)=x^2+4x-13[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=4x-8[/tex]

[tex]g(x)=x^2-5[/tex]

Composite function:

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (4x-8)+(x^2-5)\\ & =4x-8+x^2-5\\ & =x^2+4x-8-5\\ & = x^2+4x-13 \end{aligned}[/tex]

950 products

hope it helps...!!!

Answer: A:2 R8

This image should help, but first, you should find the biggest number that 27 can be multiplied by, but stay under 62, which in this case is 2, because 27*3=81 and 2 is the maximum it can be while staying below 62. which makes the equation turn into 62-54=8, making the remainder 8.

Step-by-step explanation: hope this helps

The distance between the two points  (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).

To measure the distance between two points of a coordinate system, the formula can be given as,

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, (x₁, y₁) are the coordinates of point 1 and  (x₂, y₂) are the coordinates of point 2.

The distance between the two points. (1,1), (3,-4)​ has to be find out. Use the distance formula to find the distance between them,

[tex]D=\sqrt{(1-3)^2+(1-(-4))^2}\\D=\sqrt{(-2)^2+(5)^2}\\D=\sqrt{4+25}\\D=\sqrt{29}[/tex]

Thus, the distance between the two points  (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).

Learn more about the measure distance between two points here;

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