The scale factor of a figure and its enlargement is 4. what is the new length of the enlarged figure if the original length is 4.5 cm? 4.0 cm 8.5 cm 16 cm 18 cm

Answers

Answer 1

The new length of the enlarged figure will 18 cm.

What is scale factor?

A scale factor is a number which scales, or multiplies, the original figure by some quantity.

We have the equation for the scale factor.

Y=Cx

C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.

As the given length is 4.5 cm, so with a scale factor of 4, the length of the enlarged figure will be

[tex]Y=4.5\times4=18\ cm[/tex]

Therefore, the new length of the enlarged figure will 18 cm.

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Related Questions

Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations

Answers

Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.

Can someone please help me

Answers

Answer:

Hence corre ctophon is (A)

Anthony deposits $800 into a savings account that carns 3.5% interest annually.

Answers

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after n years he will get : 800 x 1,035ⁿ

Answer:

Step-by-step explanation:

800 x 1,035ⁿ

(20 points)

Find x:

(x−2)^2=25

pls show steps so I understand lol

Answers

Answer:

(-3, 7)

Step-by-step explanation:

ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5

subtract 2 from both sides, and you get x=(+-)5+2

Solving for x we get -5+2=-3

and also

5+2=7 since there was a positive, and a negative 5.

therefore x would equal (-3, 7)

hope this helps, please mark as brainliest.

Which angles are complementary to each other?

Answers

Answer:

<1 and <2

Step-by-step explanation:

Complementary angles are two angles which their measure add up to 90 degrees.

There are only one angle pair that meet this requirement:

angle 2 and angle 1

What is the value of w?
w
36°

Answers

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

It’s 36° due to the vertical angles theorem

Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2. 5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8. 5 feet. The scale factor is divided by 2. 5 to get the dimensions of the model.

Answers

The correct option for a regular hexagon is b) Each side of the model is

15 feet long. and c) The model is proportional to the original hexagon.

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal

sides and six equal angles. The sum of the measure of angles of a

regular hexagon is 120 degrees.

It is given that a hexagon with side lengths of 2. 5 feet.

The scale factor is 6.

Since scale factor = new length/original length,

new length = scale factor × original length

                   = 6 × 2.5 feet

                   = 15 feet.

Also, each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.

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Find the simple interest earned to the nearest cent for each principal, interest rate, and time 1,050, 4.6%, two years

Answers

Answer:

The interest earned is $96.60

Step-by-step explanation:

Since we are working the a simple interest problem, we will use the formula

[tex]I=Prt[/tex],

Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:

[tex]4.6\div 100 = 0.046[/tex]

From our given information and our decimal rate, we have:

[tex]P=1050\\r=0.046\\t=2[/tex]

Substituting these into our equation, we get:

[tex]I=1050(0.046)(2)\\I=96.6[/tex]

We write that as $96.60 in context of the problem.

Answer:

principle (p)=RS 1,050

Rate(R)=4.6

time(T)=2years

we know that

I=P×R×I/100

=1050×4.6×2/100

=9660/100

=96.6

therefore the earned simple interest is RS.96.6

What is the value of s
O-1
0 0
O 1
O no solution

Answers

Answer: -1

Step-by-step explanation:

You mix 3/5 quart of blue paint for every 1/3 quart of red paint to make 5 3/5 quarts of purple paint. How much blue and red paint do you use?

Pls answer!!!!

Answers

Answer:

Hey Here Is Ur Answer

Step-by-step explanation:

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2

HOPE IT HELP U

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2                  

The number 175 is 25% of what number?

Answers

Answer:

700

Step-by-step explanation:

If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700

Answer: 700

Step-by-step explanation:

175 * 4 = 700

700 / 4 = 175

Find the volume of the prism.

Answers

Answer:

210 cm^3

Step-by-step explanation:

To find the volume of a regular we use the following formula:

l*w*h (l: length, w: width, h: height)

6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3

If a person is behind on his debt payments and goes to a responsible credit counseling service, what help is likely to be offered?
a.They can cancel and cut up his credit cards without his permission.
b.They can force those who loaned him money to forgive his debts.
c.They can get the federal government to apply his income taxes to pay off his debts.
d.They can work with those who loaned him the money to set up a realistic payment schedule.

Answers

Answer:

d

Step-by-step explanation:

I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic

Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Answers

So, the definite integral  [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Given that

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]

We find

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

Definite integrals

Definite integrals are integral values that are obtained by integrating a function between two values.

So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]

Since

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],

Substituting this into the equation the equation, we have

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

What is a definite integral?

A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.

The given function is;

[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]

Calculation of the value of the function by using integration;

[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]

Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

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i Want to ask about linear equation​

Answers

Answer:

what do you want to know about linear equation?

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?

Answers

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.

Answers

The center of the data in the dot plot comes to be 3.

0 has 3 dots

1 has 2 dots

2 has 5 dots

3 has 4 dots

4 has 1 dot

5 has 6 dots.

Let us arrange these data in ascending order

0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5

Number of observations = 21

What is the median?

The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.

So, the median will be the middle data = 11th data

11th data = 3 so median =3

Hence, the center of the data in the dot plot comes to be 3.

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Is πxy=4 a linear equation?

Answers

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

there 8 books in a series. the number of pages in each book are: 173, 205, 195, 215, 219, 184, 211, and 400.
Which measure of center best describes the typical number of pages in the books in this series? a. mean b. median
What is the value of measure of center that best describes the typical number of pages in the books in this series?

Answers

Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

What is arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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I need help please. Find the volume of the composite solid.

Answers

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...

Answers

Based on the scores in the final exam, the five number summary of the class is:

Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

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You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?

Answers

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected again across the x-axis

Select the angle vertex that corresponds to angle A

Answers

Answer: Leftmost vertex

Step-by-step explanation:

When two lines intersect, are all the angles formed equal?

Answers

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

What are intersecting lines?

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

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What is the value of the expression below?

-(-4)(-6)-3/5(10+15)
______________
1/3

A) -117
B) -13
C) 3
D) 27

Answers

Answer:

Answer is A

- 117

_______________________________________

Answer:

ay wee tologo bo sharmaine?

A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola open? up down right left.

Answers

The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

What is a directrix?

A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.

As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.

As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.

Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

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Answer:

right

Step-by-step explanation:

HELPP 30 POINTS A bag of marbles has a mass of 45 grams. What is the mass of 250 bags of marbles in kilograms?

show your work below

Answers

Answer:

11.25 kg

Explanation:

1 bag of marbles → 45 grams

250 bags → (45 *250) = 11250 grams

Conversion:

1 kg ↔ 1000 grams

So,

11250 g → (11250/1000) kg = 11.25 kg

Answer:

11.25 kg

Step-by-step explanation:

One bag of marbles = 45 g

⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g

1000 g = 1 kg

⇒ 11250 g ÷ 1000 = 11.25 kg

Directions: Select all correct answers.

Select all situation representing independent events.

Question 7 options:


Spinning spinner two times.


Rolling a die and then flipping a coin.


Taking one candy out of a bag of candies, eating it, and then taking another candy.


Taking a card from a set of ten cards, replacing it, and then, taking another card.


Taking a sock from a drawer, placing it on your foot, and then picking another sock from the drawer.


Taking a card from a set of ten card, not replacing it, and then taking another card.

Answers

Answer:

Step-by-step explanation:

I need help. SO confused

Answers

Answer:

The answer would be 1/4% or 25%.

Step-by-step explanation:

The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.

what type of sequence is 99,33,3,1

Answers

Answer:

36 ,36 30,2

Step-by-step explanation:

hope it's okay to you

Other Questions
If you went to la ciudad, list 4 things you could see there from Unit 7 vocabulary. Question 2For three months after the training program, the sales director collected the sales data for the 200 sales representatives fromthe Midwest and Northeast regions. The director then broke down the number of sales orders for the representativesaccording to whether they received training or not. This data is shown in the table.Three Months' Sales OrdersTrainingNo TrainingMidwest234196Northeast252178QuestionUse the data shown in the table to complete each statement.Select the correct answer from each drop-down menu.For the Midwest region, the average number of sales orders per representative for the group that had training ismore than the average number of sales per representative for the group that had no training,For the Northeast region, the average number of sales orders per representative for the group that had training ismore than the average number of sales per representative for the group that had no trainingThe data from the sales director's study indicates that the one-month training programsales TRUE OR FALSE - ACCOUNTING1. The matching principle requires expenses be recorded in the same period that the related revenue is recorded.2. Generally accepted accounting principles require cashbasis accounting.3. Accruals are needed when an unrecorded expense has been incurred or an unrecorded revenue has been earned.4. Consuming goods and services in the process of generating revenues results in expenses.5. Debiting Inventory will increase the account. Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.How far has Dale ridden his bike? Enter your answer in the box. During the Holocaust Nazis forced Jewish people into concentration camps. Please select the best answer from the choices provided T F To train for a marathon, Lily plans on running 4 miles per day for the first week and then increasing that daily distance by 1 mile each of the following weeks.Which of these equations represent the problem. If there were no external forces acting on the two pucks, their complex motion could be described as the combination of the uniform linear motion of the center of mass and a uniform circular motion of the pucks about the center of mass. Describe how well your results agree with this expectation, and explain any deviations that you observe from the predicted behavior Write an equation of the line that passes through the points (1, -6) and(5, -6). When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. Sometimes these waveinteract to make nodes and antinodes. What are these kinds of waves called? (1 point)A.) Superposition wavesB.) Frequency wavesC.) Electromagnet waves D.) Standing Waves Help me plssssssssssss Need help on this Spanish work too Choose the correct answer:The gift was designed to _______ the empires actions.A) revealB) consumeC) glorifyD) rank what small, frequent purchases made by most people interfere with their savings and cause regret? what important role animal plays in our life A and B are corresponding angles, the measure of \angle A is 110 Which two developments did the compromise of 1850 bring about? freeing of runway enslaved people settled in the north passage of a law to return escaped enslaved people to their enslavers ban on slave trade in the nations capital use of $10 million for a national railroad project ban on slavery in kansas and nebraska please help me im stuck :\ What are some alternatives to the phrase 'double down'? Find the area of the figure. Jason measured rainfall for a science project. Last week it rained 3 1/8 inches in all. This week it rained 1 7/8 inches on one day and 2 3/4 inches on another. How many more inches did it rain this week than last week? Explain how you found your answer.