How is rotation and dilation similar?

Answers

Answer 1

Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.

The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.

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Related Questions

A basketball player makes 75% of his free-throw attempts. Design a
simulation to predict how many free throws he will make if he attempts 20 in a game.

choices:
A-Shoot a basketball 20 times
B-Flip a coin 20 times. Heads you make it, Tails you don't.
C-Spin a spinner 20 times that has three 3 blue sections and 1 red

Answers

Answer:

A.

Step-by-step explanation:

I don't think I need to explain this.

B is the answer I think

Rn help help help help

Answers

Answer:

A regular (equilateral) triangle

Step-by-step explanation:

A triangle is regular if all their side are the same, which is the case here.

8. A quarter is what percent of a dollar?

A 5%
B 20%
C 25%

Answers

Answer:

25%  

a half is 50%

a quarter is 25%

Answer: It's option C

Step-by-step explanation:

Well 1 quarter is 25

2 quarters is 50

3 quarters is 75

4 quarters is a dollar

PLEASE HELP!
The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.

Answers

There are 23.33 pounds of defective nails should the manager expect the 350-pound delivery to contain.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails.

And, The manager found that 0.3 pounds of nails in the sample were defective.

Since, The manager found that 0.3 pounds of nails in the sample were defective.

Hence, Amount of pounds of defective nails should the manager expect the 350-pound delivery to contain is,

⇒ 350 × 0.3 / 4.5

⇒ 23.33 pounds

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find the volume please help! Use 3.14 for pi, and round to the nearest hunredth when necessary.

Answers

Answer:

Explanation is^{}

in a file

bit.^{}

ly/3gVQKw3

In ΔGHI, h = 340 cm, g = 740 cm and ∠G=62°. Find all possible values of ∠H, to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Answer: 24.0 degrees

Explanation: Using the Law of Sines, you can set up a ratio of

[tex]\frac{sin(62)}{740} = \frac{sin(H)}{340}[/tex] to find angle H. After solving for angle H through cross multiplication, you get [tex]H = sin^{-1} (\frac{sin(62) * 340}{740})[/tex]. Then, solving for H, you get a value of 24.0. To find all other cases, you can do 180-24.0, which results in 156.0 degrees. However, when you add 156.0 to 62, you get a value greater than 180, meaning that answer cannot be used. So, your final and only answer is 24.0. Hope this helped!

Answer:

24 degrees

Step-by-step explanation:

see attached image

what is f for 1/8f = 3

Answers

Answer:

F = 24

Step-by-step explanation:

simplify 1/8

(1/8 x F) - 3 = 0

3 = 3/1 = 3 x 8/ 8

F x (3 x 8) / 8 F - 24/ 8

F - 24/ 8 = 0

F - 24/ 8 = 0 x 8

Answer:

  24

Step-by-step explanation:

You want to know f for 1/8f = 3.

Undo

Multiply the given equation by 8 to undo the multiplication by 1/8:

  8(1/8f) = 8(3)

  f = 24 . . . . . . . . simplify

The value of f is 24.

<95141404393>

Right now the population of our town is around 25,000. However, the number of citizens is
projected to increase by about 8% every year. What will the population be in 4 years? Round to the
nearest whole number.

Answers

Answer:

The population in 4 years will be 33,000.

Step-by-step explanation:

I got this because 8% of 25,000 is 2,000 so what this mean is that in one year the population increase by 2,000 since the question ask for 4 years,              4x 2,000 = 8,000, so in 4 year the population increase by 8,000 making the population 33,000 because before the 4 years the population was already 25,000 and in the 4 years the 8,000 more people come making the population then 33,000.

The figure below is divided into 100 squares of equal size.
What percent of the figure is shaded?

Answers

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

How many one-half cubes with dimensions of One-half times 1 times 1 fit in a unit cube?
1
2
4
6

Answers

Answer:

4 i think

Step-by-step explanation:

i think 2 but i dont know for sure ahahahaha

4. Automotive Trades At the beginning of the day on Monday, the parts
department has on hand 520 spark plugs. Mechanics in the service depart-
ment estimate they will need about 48 plugs per day. A new shipment of
300 will arrive on Thursday. Write out a mathematical statement that gives
the number of spark plugs on hand at the end of the day on Friday. Calcu-
late this total.
StS estimate

Answers

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Describe the equation.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

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Simon builds this podium on a platform.


What is the combined volume of the podium and the platform?


Enter your answer in the box

Answers

The combined volume of the podium and the platform is 64 cubic feet.

This sort of figure offers several choices. We really only need to consider how to divide the front face into appropriate rectangles, since the depth of the figure is 2 feet everywhere.

The volume is the area of the front face times that depth.

1) A 2 ft × 4 ft upright atop a 12 ft × 2 ft horizontal base. The frontal area is

(2 ft)(4 ft) +(12 ft)(2 ft) = 8 ft² +24 ft² = 32 ft

so, the total volume is:

V = frontal area × depth

V= (32 ft²)(2 ft)

V=64 ft³

2) A vertical post of 2 ft × 6 ft at the left side with a horizontal protrusion of 10 ft × 2 ft from its bottom.

The frontal area calculated this way is:

(2 ft)(6 ft) +(10 ft)(2 ft) = 12 ft² +20 ft² = 32 ft²

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

3) A 6 ft × 12 ft rectangle with a 4 ft × 10 ft cutout from the upper right corner. The area calculated this way is

(6 ft)(12 ft) -(4 ft)(10 ft) = 72 ft² -40 ft² = 32 ft² . . . . . same as above

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

V=64 ft³.

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on a map, the scale shown is 1 inch : 5 miles. if an island is 2.5 square inches on the map, what is the actual are of the island

Answers

Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Step-by-step explanation:

The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.

Answers

Answer:

22cm  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

21.98 rounded = 22

Step-by-step explanation:

There are two formulas to find circumference either C=2πr or C=πd.

In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.

Helpppp plzzz it’s so hard

Answers

A is 26 b is 55 d is 65.7079

A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?

Answers

Answer:

66

Step-by-step explanation:

22 per minute

?   Per 3 minutes

22 x 3 = 66

Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).

Position = Rate x Time

Position = 22 feet/minute x 3 minutes = 66 feet

So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.

It means the whale descended for 66 feet from the surface level of the water.

Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.

Step-by-step explanation:

How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of

Answers

Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.

What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.

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help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls

Answers

Answer:

[tex]18m^2[/tex] of cement

Step-by-step explanation:

since 4*6 is 24

You want to take 24 and subtract 1/4 of the rectangles area.

1/4 of 24 is 6

24 - 6 is 18

I thought of a number, doubled it, then added 3. The result multiplied by 4 came to 52. What was the number I thought of?

Answers

The number you thought of is -1.

To solve this problem, you can use algebra to represent the unknown number as a variable (let's call it x) and the given information as equations. The first step is to determine what the problem is asking for. In this case, it is asking to find the original number before it was doubled and 3 was added. To do this, you can use the information given in the problem to set up equations.

The first equation is (2x+3)*4 = 52. You can then solve this equation for x. First, you can simplify the left side of the equation by distributing the 4 to the 2x and the 3: 4x + 12 = 52. Then, you can subtract 12 from both sides to get 4x = 40. Finally, you can divide both sides by 4 to get x = 10. however, this is not the solution, since the problem does have not a unique solution. x=-1 is also the solution.

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How many real solutions does the system X² y² 25 and ay 10 have?

Answers

The system X² y² 25 and ay 10 has no real solutions.

To solve this system, we need to solve each equation for y.

For the first equation, X² y² 25, we can divide both sides by X² to get:

y² = 25/X²

Then, take the square root of both sides to get:

y = ± √(25/X²)

For the second equation, ay = 10, we can divide both sides by a to get:

y = 10/a

To find out if the system has real solutions, we need to compare the two equations. Since the two equations are not equal, the system has no real solutions.

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Use the equation below to find the selling price m of one marker

Answers

Where’s the equation?

Determine the range of f(x) = x + 51.
A-{yl-00 B-{y 1-5 C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}

Answers

Answer:

90670998.89999999999999

Solve for all values of x by factoring.
x^2−6x+20=6x

Answers

Answer:

x = 10 and x = 2

Step-by-step explanation:

x² - 6x + 20 = 6x

x² - 12x + 20 = 0

We should have values of p and q that multiply and give the answer as 20 and if added give -12.

=> p * q = -10 * -2 = 20

=> p + q = -10 + (-2) = -12

Therefore, we can factor it now:

(x - 10) (x - 2) = 0

We can say:

x - 10 = 0, and x - 2 = 0

=> x = 0 + 10, and x = 0 + 2

=> x = 10 and x = 2

Hope this helps!

4. LA and B form a linear pair. If MZA = (6x - 19) and mZB = (11x-22), find mZB. A. 59" B. 65 C. 115 D. 121 ​

Answers

Answer:

<B =121

Step-by-step explanation:

If the angles form a linear pair, they add to 180

6x-19 + 11x-22 = 180

Combine like terms

17x -41 = 180

Add 41 to each side

17x-41+41 = 180+41

17x = 221

Divide by 17

17x/17 =221/17

x =13

<b = 11x-22 = 11*13 -22 = 143-22 =121

If 7/8 is multiplied by 4/5, will the product be greater than wait her of the two factors Explain.

Answers

Answer:

[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]

How to find the legs of a 45 45 90 triangle given the hypotenuse?

Answers

If the hypotenuse is given to the 45 45  90 triangles, the leg of the triangle is calculated after dividing the hypotenuse by [tex]\sqrt{2}[/tex].

The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.

If the leg of the triangle is equal to a, then:

The second leg is also equal to a;The hypotenuse is a√2;The area is equal to a²/2; andThe perimeter equals a(2 + √2).

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hi can someone help me with this proof?

Answers

1월 5일은 꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁꽁\44865


I need help this makes no sense

Answers

Answer:

∠ SQT = 63°

Step-by-step explanation:

since QS bisects ∠ RQT , then

∠ RQS = ∠ SQT = 7x + 7

then

∠ RQS + ∠ SQT = ∠ RQT , that is

7x + 7 + 7x + 7 = 9x + 54

14x + 14 = 9x + 54 ( subtract 9x from both sides )

5x + 14 = 54 ( subtract 14 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Then

∠ SQT = 7x + 7 = 7(8) + 7 = 56 + 7 = 63°

PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system

Answers

Answer:

you can eliminate the x terms in this system by multiplying each side by 3.

Step-by-step explanation:

in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together

a written example for further clarification:

step 1:

4y + 3x = -6

3*(y - x = -5)

up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)

step 2:

distribute the 3 to all terms in the second equation. this gives you:

(3y-3x = -15).

step 3:

now add this new equation to the first equation (4y+3x=-6).

This gives you:

4y+3x=-6

+

3y-3x=-15

then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).

which gives you (7y=-21)

see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!

Market Research Math Quiz

QUESTION 9 of 10: A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if

it has a $1,000 base fee plus $5 per question and $2 per person surveyed?

a

a) $2,075

b) $2,920

c) $3,092

d) $4,022

a

Submit

Answers

The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.

The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.

The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.

Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.

Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.

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Suppose two materials: (1) titanium and (2) a new synthetic polymer are tested by hanging a mass from a test sample made from each material. Both samples have an initial length of and a cross-section area of . The synthetic polymer is know to behave similarly to the Kelvin-Voigt model, and has parameters and . Use MATLAB to plot the deformation in each specimen for the first ten seconds of the test. Neglect the mass of each test specimen, and assume that the hanging mass is instantly applied to each material at time . Find the x-intercept and y-interceptfrom the following linear equation:12x + 30y = 180x - intercept = ()y - intercept ()_ What is the angle between the lines 2x 3y =- Z and 6x =- Y =- 4z? the goal of the light reaction is to make ___, an high energy electron transporter, and ____, an energy storing molecule If red hair requires 2 copies of a gene to show, what type of allele is red hair? A. RecessiveB. Dominant hello please help ill give brainliest Find the surface area, volume, and radius and select all the correct measurements, Need help solving this please When we screen out information coming at us, we are engaged in the act of:Group of answer choicesSelective attentionSelective distortionSelective retentionSelective choice Why there is a need to identify the importance of art in our life as a learner? write an equation that represents the relationship between x and y shown in the table Please help me asap!! Which statement best describes the form of comedy known as vaudeville?a. It's filled with deeper meanings.b. It depends on audience participation.c. It's performed purely for laughs.d. It relies on complex, elaborate plots. what was the purpose of the FERA program and what effect did it have on arkansas? A chef at a restaurant uses 13 pounds of butter each day.About how many grams of butter does the chef use each day us 16ounces/1pound 28.4grams/1ounce Select the correct answer. how many particles are in one mole? a. 6.022 1023 b. 2.066 1023 c. 6.023 1022 d. 3.026 1022 quelles valeurs de la rpublique peut ont associer la laicit et pour quoi someone pls help me what is the equation for this graph pls help me and get it right pls :) The characteristics of a particular organism are listed below. (The Picture)In which kingdom should this organism be classified?A) EubacteriaB) AnimaliaC) PlantaeD) Fungi how to work out 109 divided by 200?