What is the definition of Transformants in geometry

Answer:

[tex]Area = (30 + x)(20 + x)[/tex]

Step-by-step explanation:

By definition, the area of a rectangle is the product of its length multiplied by its width.

Initially the dog run has a length of 30 ft long and 20 ft wide.

If you want to expand the track, increase the length of each side by a factor x. So, the dimensions of the expanded dog run will be:

[tex]Length = 30 + x\\Width = 20 + x[/tex]

Then, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = (30 + x)(20 + x)[/tex]

The total area of an expanded rectangular dog run, after increasing each side by the same amount x, is calculated using the formula A = (l + 2x)(w + 2x), where l is the original length and w is the original width. The new area after expansion is 4x^2 + 100x + 600 square feet.

The student is asking how to calculate the total area of an expanded rectangular dog run after increasing each side by the same amount, x. To solve this, we can use the formula A = lw, where A is the area, l is the length, and w is the width of the rectangle. In the original dimensions, the dog run has a length of 30 ft and a width of 20 ft. After expanding, the new dimensions will be (30 + 2x) ft for the length and (20 + 2x) ft for the width, since each side is increased by x on each end.

Expanded Dog Run Area Calculation:

First, we write out the new dimensions:

Then, we calculate the new area:

A = (30 + 2x)(20 + 2x)

A = 600 + 60x + 40x + 4x^2

A = 4x^2 + 100x + 600

The expanded area of the dog run will be 4x^2 + 100x + 600 square feet.

Answer:

y = 6.4

Step-by-step explanation:

1.1 = 13.9 - 2y

-12.8 = -2y

6.4 = y

Answer:

y = 6.4

Step-by-step explanation:

Simplifying

1.1 = 13.9 + -2y

Solving

1.1 = 13.9 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.

1.1 + 2y = 13.9 + -2y + 2y

Combine like terms: -2y + 2y = 0

1.1 + 2y = 13.9 + 0

1.1 + 2y = 13.9

Add '-1.1' to each side of the equation.

1.1 + -1.1 + 2y = 13.9 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0

0.0 + 2y = 13.9 + -1.1

2y = 13.9 + -1.1

Combine like terms: 13.9 + -1.1 = 12.8

2y = 12.8

Divide each side by '2'.

y = 6.4

Simplifying

y = 6.4

Answer:

[tex]\large\boxed{21845}[/tex]

Step-by-step explanation:

The formula of a sum of terms of a geometric sequence:

[tex]S_n=a_1\cdot\dfrac{1-r^n}{1-r}[/tex]

We have:

[tex]a_1=1,\ a_2=4,\ a_3=16\ and\ n=8[/tex]

Calculate the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_{n+1}}{a_n}\\\\r=\dfrac{4}{1}=4\\\\r=\dfrac{16}{4}=4[/tex]

CORRECT :)

Substitue:

[tex]S_8=1\cdot\dfrac{1-4^8}{1-4}=\dfrac{1-65536}{-3}=\dfrac{-65535}{-3}=21845[/tex]

Answer: The answer is 2160

Answer:

2160

Step-by-step explanation:

all the numbers are small so instead of rounding up you round dow to zero for the forth.

[tex]\huge\text{B. $\boxed{x+(y-z)}$}[/tex]

First, let's take a look at the terms in the original expression. Since its just addition and subtraction, we can get rid of the parentheses, leaving behind just [tex]x+y-z[/tex].

As long as an answer is made up of a positive [tex]x[/tex], a positive [tex]y[/tex], and a negative [tex]z[/tex], its correct!

Removing the parentheses in choice A leaves us with [tex]z+x+y[/tex], which has a positive [tex]z[/tex] rather than a negative [tex]z[/tex], so it's incorrect.

Removing the parentheses in choice B on the other hand gives us [tex]x+y-z[/tex], which means it's the correct answer! This is a good example of the associative property of addition in action.

The correct expression that is equivalent is option B.  x +(y − z)

Let's simplify each expression to see if they are equivalent to (x + y) - z:

A. ( z + (x + y))

We can rearrange the terms:

z + (x + y) = (x + y) + z

This is not equivalent to (x + y) - z  because the terms are added in a different order.

B. (x + (y - z))

We can expand the expression:

[tex]\[ x + (y - z) = x + y - z \][/tex]

This expression is indeed equivalent to (x + y) - z because the terms are arranged in the same order and operations are consistent.

So, the correct answer is:

[tex]\[ \text{B. } x + (y - z) \][/tex]

Answer:

400

Step-by-step explanation:

scale factor is 2

so you cube the 2 to get 8

50 times 8 = 400

Answer:

36.952

Step-by-step explanation:

22+14=36

.12+.83= .95

36+.95=36.95

Answer:

36.952

Step-by-step explanation:

Step 1. First think of regular addition add all of your number together.

Step 2. Once you've added all your numbers, place the decimal point. This can be done by counting the number of numbers behind the decimal point.

Step 3. Once you've added and placed your decimal point you should have gotten 36.952. Hope this helped you! <3

Answer:

center; single

Step-by-step explanation:

The measures of central tendency or center measures are a number that attempts to describe or summarize the entire data set by means of a single value that represents the center of its distribution. There are different measures of central tendency, and each of them is used depending on the characteristics of the data used.

Some examples of measure of central tendency are:

* Arithmetic mean

* Mode

* Median

* Geometric mean.

Therefore, based on what has been described above, the answer to this question is the third option: center; single

Then:

A measure of __center_____ summarizes all of the values in a data set with a ____single_______ number.

Answer:

The correct answer options are: center; single.

Step-by-step explanation:

A measure of center summarizes all of the values in a data set with a single number.

The measure of center for any numerical data set is a value at the center of a data set which summarizes all of the values in a data set with a single number.

Some of the most common ways to solve for the measure of center are by finding the mean or median.

Answer:

B.) m∠3 would need to be doubled

Step-by-step explanation:

since AC and BD are parrallel, the angles would have to match up - meaning - if the m∠6 side is doubled then the m∠3 side need to be doubled as well -

hope this helps!!

Answer:

12 square inches

Step-by-step explanation:

The scale of an area is the square of the scale of a linear measurement.

The scale of the areas is (1 inch)^2 : (4 feet)^2 which is the same as

1 inch^2 : 16 feet^2

192/16 = 12

12 inch^2 : 192 feet^2

Answer: 12 square inches

Answer:

a) The volume of the dunking booth = 98 feet³

b) They will need 84 feet³ of water to fill 6/7 of dunking booth

Step-by-step explanation:

* Lets talk about the rectangular prism

- It has 6 rectangular faces each two opposite faces are congruent

- It has three dimensions Length, Width and Height

- Its volume = Length × Width × height

* In our problem the dunking booth is a rectangular prism

 with dimensions:

- Width = 3.5 ft

- Length = 3.5 ft

- Height = 8 ft

∴ Its volume = 3.5 × 3.5 × 8 = 98 feet³

a) The volume of the dunking booth = 98 feet³

* They want to fill 6/7 of the dunking booth with water

∴ The volume of the water will be 6/7 from the volume

   of the dunking booth

∵ The volume of the dunking booth = 98 feet³

∴ The volume of the water = 6/7 × 98 = 84 feet³

b) * They will need 84 feet³ of water

a) 98

b) 84

hope this helps!

Step-by-step explanation:

Slope-intercept form: y=mx+b

The slope is 8. This means that 8 multiplied by x is the slope of the line, and if there was no y-intercept then the first point would be (1,8) so 8 would be unit rate.

The y-intercept is -12. This means that though the slope of the line would still be 8, you move the point down on the y-axis by 12. The y-coordinate will always be 12 less than 8 times x

Answer:

Order of Success rate  A, B, C

Step-by-step explanation:

The table shows the field goal statistics for three different kickers.

Kicker A

Field goals attempted = 14

Field goals made = 12

Success rate  = 12/14 = 0.857

Kicker B

Field goals attempted = 18

Field goals made = 15

Success rate  = 15/18 = 0.833

Kicker C

Field goals attempted = 24

Field goals made = 19

Success rate  = 19/24 = 0.792

Order of Success rate  A, B, C

Answer:

A,B,C is the order from least to greatest

Answer: [tex]\frac{5}{8}[/tex] yard.

Step-by-step explanation:

You have the following information given in the problem:

- You have 3/4 yard of felt.

- You used 1/8 yard,

Therefore, to find the fraction of a yard of felt that you have left over (which you can call x), you only need to subtract 3/4yard and 1/8 yard, as you can see below:

[tex]x=\frac{3}{4}yard-\frac{1}{8}yard\\\\x=\frac{5}{8}yard[/tex]

Answer:

[tex]32.2625\°[/tex]

Step-by-step explanation:

we know that

[tex]1\°=60'[/tex]

[tex]1'=60''[/tex]

we have

[tex]32\°\ 15'\ 45''[/tex]

convert to decimal

step 1

Convert seconds to minutes

[tex]45''=45/60=0.75'[/tex]

so

[tex]32\°\ 15'\ 45''=32\°\ 15.75'[/tex]

step 2

convert minutes to grades

[tex]15.75'=15.75/60=0.2625\°[/tex]

so

[tex]32\°\ 15.75'=32.2625\°[/tex]

To convert 32° 15′ 45″ to decimal degrees, you use the formula DD = Degrees + (Minutes/60) + (Seconds/3600), resulting in 32.2625°.

To convert the angle of 32° 15′ 45″ from degrees, minutes, seconds (DMS) to decimal degrees (DD), you can use the following formula:
DD = Degrees + (Minutes/60) + (Seconds/3600).

In this case:

Start with the degrees: 32°

Convert the minutes: 15′ is equal to 15/60 degrees

Convert the seconds: 45″ is equal to 45/3600 degrees

Add them all up: 32 + 0.25 + 0.0125 which equals 32.2625°

Oh that question

Parallel sides

Opposite sides are congruent

And diagonals bisect each other

A rectangle is a four-sided quadrilateral with four right angles, opposite sides are parallel and of equal length, and the area is the product of its base and height. Rectangles typically have a larger perimeter than a square with the same area and can form larger rectangles when equal rectangles are combined. The golden rectangle has sides in the golden ratio, considered aesthetically pleasing.

A rectangle is a geometrical figure with some specific properties. First, it is a quadrilateral, meaning it has four sides. A defining characteristic of a rectangle is that it has four right angles (90°). Due to this property, opposite sides of a rectangle are parallel and equal in length. The area of a rectangle can be calculated by multiplying its base (length) by its altitude (height). A square is a special type of rectangle where all four sides are of equal length.

In terms of perimeter, a rectangle has a larger perimeter compared to a square of the same area, because it will have two longer sides and two shorter sides, whereas a square has four sides of equal length. This also means that in geographic terms, a rectangle would represent a larger coastline if used to approximate a peninsula. When constructing a golden rectangle, which is a rectangle with aesthetically pleasing proportions found in nature and art, the ratio of the longer side to the shorter side is known as the golden ratio.

Another important fact about rectangles is that by placing equal rectangles together, we can form a larger rectangle with sides that simply are multiples of the corresponding sides of the original rectangles. This principle is used in various mathematical proofs and constructions.

Hey there!

Let’s turn everything into yards (instead of feet) so we can determine which is greater

To do this, all we have to do is divide 3 (that’s how many feet are in a yard) by 429 & 460 (these are the 2 lengths that are represented by feet)

429 ÷ 3 = 143

460 ÷ 3 = 153.333... (let’s round to 153)

Now, we determine which is greater:

150 yards > 143 yards

So, 150 yards is greater than 143 yards (or 429 feet)

130 yards < 153 yards

So, 130 yards is less than 153 yards (or 460 feet)

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=3x-26&(1)\\2x-y=19&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2x-(3x-26)=19\\2x-3x+26=19\qquad\text{subtract 26 from both sides}\\-x=-7\qquad\text{change the signs}\\x=7\\\\\text{Put the value of x to (1):}\\\\y=3(7)-26=21-26=-5[/tex]

Answer:

y=-5

Step-by-step explanation:

I did the text

Answer:

2.1

Step-by-step explanation:

There were a total of 435 people in the House. 9 were neither Republican nor Democratic. Divide 9/435. multiply that by 100

Answer:

The answer is C.

Step-by-step explanation:

In 1997 U.S. House of Representatives there were 222 Republicans, 204 Democrats, 2 Independents, and 7 undecided.

So total number in the House = 222 + 204 + 2 + 7

= 435

Total number who is neither Republican nor Democrat = 2 + 7

= 9

Percentage of the total is neither Republican nor Democrat

= 9 / 435 * 100%

= 2.1%

b. because x had to do with the line that goes across. so in that case it would be 5units to the left

Answer:

1st question: B 2nd question: C

Step-by-step explanation:

2021 Edge

ANSWER

D. rotation, translation, reflection

EXPLANATION

Dilation is not a rigid motion.

When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).

When the scale factor is negative 1, a congruent triangle is obtained.

Hence dilation will not always produce a congruent triangle.

Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.

Answer:

V = 240 in ^3

SA = 2(lw+lh+wh)

SA = 236 in^2

Step-by-step explanation:

Volume = l*w*h where l=length, w= width and h =height

We know l=6, w=5 and h =8

V = 6*5*8

V = 240 in ^3

The formula for surface area of a rectangular prism is

SA = 2(lw+lh+wh)  where l=length, w= width and h =height

We know l=6, w=5 and h =8

Substituting into the equation

SA = 2(6*5+6*8+5*8)

     = 2 (30+48+40)

     =2(118)

     = 236 in ^2

Answer:

First of all the rate of change is -2, so the answer would be y = x - 2

Answer:

3/10. 1/2 and 7/10

Step-by-step explanation:

For P(x) = x/10

When x = 3;

Then;

P(3) = 3/10

When x = 5

Then;

P(5) = 5/10

       = 1/2

When, x = 7

Then;

P(7) = 7/10

Answer:

[tex]P(3)=\frac{3}{10}=0.3\\\\P(5)=\frac{5}{10}=0.5\\\\P(7)=\frac{7}{10}=0.7[/tex]

Step-by-step explanation:

Probability is the possibility of happening of some event .

Probability = [tex]\frac{No.\,\,of\,\,outcomes}{Total\,\,no.\,\,of\,\,outcomes}[/tex]

Probability distribution links each outcome of an experiment with it's probability of occurrence .

Given: [tex]P(x)=\frac{x}{10}[/tex]

To find: Probability  distribution for the given function for x = 3 , 5 and 7

Solution:

For x = 3 :

On putting x = 3 in function [tex]P(x)=\frac{x}{10}[/tex] , we get

[tex]P(3)=\frac{3}{10}=0.3[/tex]

For x = 5 :

On putting x = 5 in function [tex]P(x)=\frac{x}{10}[/tex] , we get

[tex]P(5)=\frac{5}{10}=0.5[/tex]

For x = 7 :

On putting x = 7 in function [tex]P(x)=\frac{x}{10}[/tex] , we get

[tex]P(7)=\frac{7}{10}=0.7[/tex]

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

x^2 - 10x + 25 = -8

x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

Answer:

number one!!

is your answer!!

Answer: 94

Step-by-step explanation:

Answer:

The graph for 3x - 2y = 6 is the second graph

The slope of the line is 3/2 and the y-intercept of the line will be 2. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

3x - 2y = 6

Simplify the equation for y, then we have

6 = 3x - 2y

2y = 3x - 6

y = (3/2)x - 2

The slope of the line is 3/2 and the y-intercept of the line will be 2.

Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

Ivan has 20 more miles to walk.

Step-by-step explanation:

If the hike is 60 miles long and he has already walked 15 miles the first day and 25 miles the next we can do this equation :

60 - 15 - 25 = 20.

Which means the third day he has to walk 20 whole miles! Good luck Ivan :D

Hope this helps,

Davinia.

Answer:

Ivan have left to walk  = 20 miles .

Step-by-step explanation:

Given:Ivan is on a three-day hike. The hike is 60 miles long. If he walked 15 miles on the first day and 25 miles on the second day.

To find: How many miles does he have left to walk.

Solution: We have given that

Total length of hike = 60 miles .

Ivan walked  on the first day = 15 miles .

Ivan walked  on the second day = 25 miles .

Ivan walked in 2 days = 15 + 25 = 40 miles .

So, Ivan have left to walk  = 60 -40 = 20 miles .

Therefore , Ivan have left to walk  = 20 miles .