The rectangle shown is dilated by a scale factor of 4

The Rectangle Shown Is Dilated By A Scale Factor Of 4

Answers

Answer 1

Answer:

60 cm, 60 cm, 32 cm, 32 cm

Step-by-step explanation:

Multiply each length by the scale factor.

15 cm * 4 = 60 cm

8 cm * 4 = 32 cm

The dilated sides AB and CD will have a length of 60 cm.

The dilated sides AC and BD will have a length of 32 cm.


Related Questions

What is the median of this set of data values 11,13,14,15,18,20,23,26

Answers

The answer is 16.5 because you add 15 and 18 then divide by 2

Answer:  The required median of the given data set is 16.5.

Step-by-step explanation:  We are given to find the median of the following set of values :

11,  13,  14,  15,  18,  20,  23,  26.

We know that

(i) If the data contain an odd number of values, then the mid-value is the required median.

(ii) If the data contain an even number number of values, then the average of the two mid-values will be the required median.

Since the given data contains 8 values, which is an even number, so we will consider two mid-values and those are 15 and 18.

The average of 15 and 18 is given by

[tex]A=\dfrac{15+18}{2}=\dfrac{33}{2}=16.5.[/tex]

Thus, the required median of the given data set is 16.5.

Please help I don’t know how to do this! It’s circle theorem geometry

Answers

Answer:

AC = 10

Step-by-step explanation:

Two tangents drawn to a circle from the same exterior point are congruent.

AC = AB

Since AB = 10, then

AC = 10

Can someone explain this to me?

Answers

sure !! pretty sure it wants you to distribute in each of your answer choices to get the functions and then match the function to the graph because the answer choices now are factored and harder to work with. to be honest once you find your functions after distributing i would just use a graphing calculator website like desmos.com and input each function to see which graph looks like the one shown

Answer:

(x^-1)(x+3)

Step-by-step explanation:

A

What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?
A. y + 1 = -3(x + 9)
B. y - 1 = -3(x - 9)
C. y + 1 = 3(x + 26)
D. y - 1 = 3(x - 26)

Answers

Answer:

B. y - 1 = -3(x - 9)

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (9, 1) and (4, 16). Substitute:

[tex]m=\dfrac{16-1}{4-9}=\dfrac{15}{-5}=-3[/tex]

[tex]y-1=-3(x-9)[/tex]

Final answer:

The equation of the line that passes through the points (9, 1) and (4, 16) in point-slope form is y - 1 = -3(x - 9).

Explanation:

To find the equation of a line, we can use the point-slope form, which is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line.

Given the points (9, 1) and (4, 16), we can calculate the slope using the formula m = (y₂ - y₁) / (x₂ - x₁).

Substituting the values, we get m = (16 - 1) / (4 - 9) = -3. So, the equation of the line in point-slope form is y - 1 = -3(x - 9).

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What scientific value for n will make this equation true?
(4.8 × 10–3)(n) = 9.6 × 109

Answers

Answer:

[tex]n=2*10^{12}[/tex]

Step-by-step explanation:

we have

[tex](4.8*10^{-3})(n)=9.6*10^{9}[/tex]

Solve for n

That means-----> isolate the variable n

Divide by [tex](4.8*10^{-3})[/tex] both sides

[tex]n=\frac{9.6*10^{9}}{4.8*10^{-3}}\\\\n=\frac{9.6}{4.8}*10^{(9+3)}\\ \\ n=2*10^{12}[/tex]

Answer:

The value of [tex]n=2\times 10^{12}[/tex]  which make equation true.

Step-by-step explanation:

Given : Expression [tex](4.8\times 10^{-3})(n)=9.6\times 10^9[/tex]

To find : What scientific value for n will make this equation true?

Solution :

[tex](4.8\times 10^{-3})(n)=9.6\times 10^9[/tex]

Solve for n,

[tex]n=\frac{9.6\times 10^9}{4.8\times 10^{-3}}[/tex]  

[tex]n=\frac{9.6}{4.8}\times 10^{9+3}[/tex]  

[tex]n=2\times 10^{12}[/tex]  

Therefore, The value of [tex]n=2\times 10^{12}[/tex]  which make equation true.

the volume of a cube is 1,953,125 centimeters what is the length of the sides

Answers

Answer:

125 cm

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge of cube

We have V = 1,953,125 cm³. Substitute:

[tex]a^3=1,953,125\to a=\sqrt[3]{1,953,125}\\\\\begin{array}{c|c}1,953,125&5\\390,625&5\\78,125&5\\15,625&5\\3,125&5\\625&5\\125&5\\25&5\\5&5\\1\end{array}\\\\1,953,125=5^3\cdot5^3\cdot5^3\\\\\sqrt[3]{1,953,125}=\sqrt[3]{5^3\cdot5^3\cdot5^3}\qquad\text{use}\ \sqrt[3]{ab}=\sqrt[3]a\cdot\sqrt[3]b\\\\=\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\qquad\text{use}\ \sqrt[3]{a^3}=a\\\\=5\cdot5\cdot5=125[/tex]

The volume of a cone is 294.38 cm3. The radius of the base is 7.5 cm. Which of the following could be the height of the cone?

Answers

The height would be 5.

Answer: i used my calculator check this is right

Step-by-step explanation:

what is the length of the line segment with end points (5, -7) and (5, 11)​

Answers

Answer:

18

Step-by-step explanation:

The formula of a distance between two points:

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

We have the points (5, -7) and (5, 11). Substitute:

[tex]d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18[/tex]

An acorn is most likely to be weighed in _____ .

tons
pounds
ounces

Answers

An acorn is most likely to be weighed in Ounces. Hope this helps! =^-^=

Answer:

ounces

Step-by-step explanation:

tons is what you would weigh a elephant

pounds is what you would measure how heavy a person is

THE BROWN FAMILY IS PLANTING 1/3 OF THEIR GARDEN WIH FLOWERS, 1/3 WITH BERRIES, AND 1/3 WITH VEGETABLES. THE VEGETABLES SETION HAS EQUAL PARTS OF CARROTS, ONIONS, PEPPERS, AND TOMATOES. WHAT FRACTION OF THE GARDEN IS PLANTED WITH CARROTS? SOLVE THIS PROBLEM ANY WAT YOU CHOOSE.

PLESASE HELP ME ASAP

Answers

1/12  the fraction of the garden is planted with carrots.

How to determine the fraction of the garden is planted with carrots.

The Brown family is planting 1/3 of their garden with vegetables, which is further divided into equal parts of carrots, onions, peppers, and tomatoes.

So, the fraction of the garden planted with carrots is 1/4 of the vegetable section, which can be calculated as follows:

1/4 x 1/3 (fraction of the garden planted with vegetables) = 1/12

Therefore, 1/12 of the garden is planted with carrots.

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Final answer:

1/12 of the Brown family's garden is planted with carrots, as the vegetable section is 1/3 of the garden and is equally divided among four types of vegetables.

Explanation:

The Brown family is planting 1/3 of their garden with flowers, 1/3 with berries, and 1/3 with vegetables.

The vegetable section is equally divided into four parts for carrots, onions, peppers, and tomatoes.

To find the fraction of the garden planted with carrots, you would divide the vegetable section's fraction by the number of vegetable types.

Since 1/3 of the garden is planted with vegetables, and there are 4 types of vegetables, the fraction of the garden with carrots is:
1/3 ÷ 4 = 1/3 × 1/4 = 1/12.
Therefore, 1/12 of the garden is planted with carrots.

What Is The Value Of X?

Answers

Answer: 7 cm

Step-by-step explanation:

You know the lenght of one of the sides of the smaller triangle.

You also know the lengths of two sides of the larger triangle.

You can see that a corresponding angle is equal

Therefore, by similarity, you can write the expression shown below:

[tex]\frac{36cm}{42cm}=\frac{6cm}{x}[/tex]

Now you must solve for x.

Therefore, you obtain that the value of x is the shown below:

[tex]x(\frac{36cm}{42cm})=6cm\\\\x=\frac{6cm*42cm}{36cm}\\\\x=7cm[/tex]

To solve the equation x - 4 = 12, A) add 4 to both sides. B) subtract 4 from both sides. C) add 4 to the left and subtract 4 from the right. D) subtract 12 from the right and add 4 to the left.

Answers

Answer:

A. Add both sides

Step-by-step explanation:

jus did it on usa prep test

The solution of the equation is obtained by adding 4 on both sides. Then the correct option is A.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation with a single variable is given below.

x - 4 = 12

Add 4 on both sides of the equation, then we have

x - 4 + 4 = 12 + 4

           x = 16

The arrangement of the situation is acquired by including 4 the two sides. Then the right choice is A.

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Please help me ASAP

I got these wrong and I want you to correct it

Answers

Answer:

8

Step-by-step explanation:

see attached for questions 3's answer

In a plane, if one of two _____ lines is perpendicular to another line, the other of the two lines is perpendicular to that line. A. perpendicular B. parallel C. congruent D. equal

Answers

Answer:

A

Step-by-step explanation:

If a parallel line is perpendicular to the other line, the line parallel to the first line is also perpendicular to that line.

A spinner has six sections of equal shape and size each section is either black or white the table shows the result of an experiment when the spinner was spun 90 times (see photo provided) based on the data witch of the following best describes the experimental probability of the arrow landing on black or white section of the spinner
A.the spinner is equally likely to land on black or white
B.the spinner is 4 times more likely to land on white
C.the spinner is 4 times more likely to land on black
D.the information cannot be concluded form the data table

Answers

Answer:

I believe the correct answer is B.

Answer: A

Step-by-step explanation: Just because it landed on black more times doesn't mean it will land on it again also i know its correct because i took the same FLVS exam :)

What are the square roots of 64/144 ?

−4/12 and 4/12

−32/72 and 32/72

−8/12 and 8/12

−4/9 and 4/9

Answers

Answer: third option

Step-by-step explanation:

To solve the problem you must apply the proccedure shown below:

- Descompose the numerator and the denominator of the given fraction into its prime numbers:

[tex]64=2*2*2*2*2*2\\144=2*2*2*2*3*3[/tex]

Then you can rewrite:

[tex]64=2^6\\144=2^4*3^2[/tex]

Then:

[tex]\±\sqrt{\frac{{2^6}}{{2^4*3^2}}}=\±\frac{2^3}{2^2*3}=\±\frac{8}{4*3}=\±\frac{8}{12}[/tex]

Therefore, the answer is: [tex]-\frac{8}{12}\ and\ \frac{8}{12}[/tex]

Answer:

The correct answer is option 3

-8/12 and 8/12

Step-by-step explanation:

It is given that square roots of 64/144

The given number is a fraction.

The numerator of  the square root and denominator both are perfect squares. So it is easy to find the square root of given number

To find the square root of 64/144

we have , √64 = ±8 and 144 = ±12

√(64/144) = ± 8/12

Therefore, √(64/144) = 8/12 or √(64/144) = -8/12

Therefore the correct answer is option 3

How do you simplify 16m^2/24m^7

Answers

Final answer:

To simplify 16m^2/24m^7, you divide both numbers by 8 and subtract the exponents, getting 2/3m^(-5), which is then rewritten with positive exponents as 2/(3m^5).

Explanation:

To simplify the expression 16m^2/24m^7, we need to reduce the fraction by dividing both the numerator and the denominator by their greatest common factor. Additionally, we apply the laws of exponents to simplify the expression further.

First, we observe that 16 and 24 have a common factor of 8. So we divide both by 8:

16 / 8 = 2
24 / 8 = 3

Now our expression looks like this:

2m^2 / 3m^7

Next, we apply the laws of exponents. Since both the numerator and denominator have the base m, we subtract the exponent in the numerator from the exponent in the denominator:

m^2 / m^7 = m^(2-7) = m^(-5)

Combining the reduced coefficients and the exponents, we get:

2/3m^(-5)

To have positive exponents, we can write:

2/(3m^5)

Which number has a 9 that is one tenth the value of the 9 in 296?

Answers

Answer: What are the other numbers that we have to compare

Step-by-step explanation: And if yall thnk im trying to get points im not but i will give yall the answer keys        A. 195          B. 409            C.981               D. 1,956     we all know its not b so dont pick be

In number 409 , digit 9 has the same value as one tenth the value of the 9 in 296.

Given number is 296.

Place value of 2 [tex]=200[/tex]

Place value of 9 [tex]=90[/tex]

One tenth of place value of 9 in 296 [tex]=\frac{1}{10}*90 =9[/tex]

From given options, In  Number 409, digit 9 have same place value as one tenth the value of the 9 in 296.

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Malco weighs 42 more pounds than Peter the sum of their Weights is 286 pounds how much does Peter way

Answers

122
286-42=144
144\2=122
122(peter)+164(malco)=286(total weight)
So, let's establish some variables:

P = Peter
M = Malco = P + 42


Now let us establish an equation to find for P:
268 = P + P + 42
268 = 2P + 42
268 - 42 = 2P
226 = 2P
226 / 2 = P
113 = P


Now to find for M:
P + M = 268
113 + M = 268
M = 268 - 113
M = 155


Answer:
Peter = 113 pounds
Malco = 155 pounds




Hope it helped,



BiologiaMagister


There are 9 players on a baseball team. After the game each player high-fives once with everyone else. How many high-fives were given?

Answers

Answer:

32

Step-by-step explanation:

Give each player a letter.

a, b, c, d, e, f, g, h, i

Each player high fives each other once.

a: b, c, d, e, f, g, h, i

b: c, d, e, f, g, h, i

c: d, e, f, g, h, i

d: e, f, g, h, i

f: g, h, i

g: h, i

h: i

Remember that you do not recount high-fives (as each player only gives it to another player once). Add the amount of high fives by counting.

32 is your answer.

~

how many ml of 30 percent acid should be added to pure acid to make 70 ml of 35 percent acid?

Answers

Answer:

  65 mL

Step-by-step explanation:

Let x represent the quantity (mL) of 30% acid that should be added to (70-x) mL of pure acid to make 35% acid. The quantity of acid in the mix is ...

  0.30·x + 1.00·(70 -x) = 0.35·70

  -0.70x = 70·(-0.65) . . . . . . simplify, subtract 1.0·70

  x = 65 . . . . . . . . . . . . . . . . . divide by the coefficient of x

65 mL of 30% acid should be added to 5 mL of pure acid to make 70 mL of 35% acid.

_____

Comment on the problem wording

Safety precautions should be observed when working with pure acid. As a chemistry problem (not a math problem), 5 mL of pure acid should be added to 65 mL of 30% acid, not the other way around.

What is the mean absolute deviation

3,5,8,1,4

Answers

Answer:

the mean is 4.2

Step-by-step explanation:

Answer:

Mean absolute deviation: 1.84.

Step-by-step explanation:

How do you find the mean absolute deviation for a bunch of numbers?

Calculate the average (a.k.a. mean) of the numbers.Calculate the absolute difference (just discard any negative "-" sign in front of the difference) between each number and the mean. The mean absolute deviation is the average of all those absolute differences.

What's the mean of those numbers?

(3 + 5 + 8 + 1 + 4) / 5 = 4.2.

Absolute difference:

3 - 4.2 = -1.2. Drop the negative sign to get 1.2.5 - 4.2 = 0.8.8 - 4.2 = 3.8.1 - 4.2  = -3.2. Drop the negative sign to get 3.2.4 - 4.2 = - 0.2. Drop the negative sign to get 0.2.

What's the average of those absolute differences?

(1.2 + 0.8 + 3.8 + 3.2 + 0.2) / 5 = 1.84. That's the mean absolute deviation of those five numbers.

if you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be

Answers

Answer:

P(blue) = 3/7

So '7' belongs in the box

Step-by-step explanation:

There are 14 total marbles, 6 of which are blue.  The probability of pulling a blue marble out of the bag is

P(blue) = 6/14, which reduces to 3/7

Final answer:

The probability of drawing a particular marble from a bag depends on the number of that marble initially in the bag and whether the marbles are replaced after being drawn. Probabilities are calculated based on these conditions, including removing a marble of a particular color after another specific color has been removed.

Explanation:

The subject of the question is probability, a concept in mathematics. The possibility of drawing a particular color of marble from a bag depends on how many of that color is in the bag to start with, as well as whether or not the marbles are replaced after being drawn.

In the case of James and his bag of four blue and three white marbles, the probability of drawing a blue marble is 4 out of 7 the first and second time he draws because the blue marble is replaced each time.

On the other hand, if the first drawn marble is not replaced (like in the second example), the total number of marbles, and thus the probabilities, change. For instance, after drawing and setting aside one blue marble from a bag containing four blue and three white marbles, the probability of drawing another blue marble becomes 3 out of 6, or 1/2.

Finally, in the case of Mark and his bag of green, red, and yellow marbles, the probability of drawing a yellow marble and then a green marble without replacement can be calculated as the product of the possibility of attracting a yellow marble first, and then the conditional probability of drawing a green marble given that a yellow one has already been removed. This shows how probabilistic events can be dependent on one another.

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A)A 15-year old girl charged with shoplifting.

Eliminate

B)A 19-year old man charged with assault.C)A 21-year old woman charged with fraud.D)A 25-year old man charged with speeding​

Answers

C)21-YEARS OLD WOMAN CHARGED WITH FRAUD.

The answer is A.

15 year-old girl with shoplifting

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?

Answers

Answer:

1000 times greater

Step-by-step explanation:

1 gigabyte = 1000000000 bytes

1 mega byte = 1000000 bytes

Therefore;

1 gigabyte = 1000 megabyte

Thus;

The storage capacity of 1 gigabyte is 1000 times greater than a flash drive with a capacity of 1 megabyte

Answer:

"1,000 times greater"

Step-by-step explanation:

We will do the calculation in BYTES.

We want to figure out HOW MANY TIMES GREATER is 1 Gigabyte than 1 Megabyte.

1 Gigabyte (GB) = 10^9 Bytes

1 Megabyte (MB) = 10^6 Bytes

So, how many times is 10^9 is of 10^6? We just need to divide 10^9 by 10^6.

[tex]\frac{10^9}{10^6}=\frac{1000000000}{1000000}=1000[/tex]

So, 1 GB is 1000 times greater than 1 MB.

Find the difference between -4 and 2

Answers

Answer:

-6

Step-by-step explanation:

"the difference" = subtract.

The difference between -4 and 2 is subtract -4 and 2 together.

-4 - 2 = -6

-6 is your answer.

~

Answer:

The difference is 6

Step-by-step explanation:

The difference means the absolute value, so not what -4-2 is, but how far apart these two are on a number line. We need to take the absolute value of -4-2 so |-4|-|2|=|-6| and absolute value ignores signs so your answer is 6. Let me know if you need more help

Which of these metals are magnetic?

A. Copper
B. Steel
C. Nickel
D. Tin
E. Aluminum

Answers

I believe it would be Steel so B

Answer: both steel and nickel are magnetic but in this case i would go with  B.steel

HELP ASAP!! IF CORRECT I WILL MARK BRAINIEST!!!!!!!

Answers

Answer:

B. -28

Step-by-step explanation:

7 times the value -4 is "added", yielding the result of -28.

So we're looking for an answer with -28 as an answer, and a "times 7". That's answer B. Answer D is not the right one since clearly, the model shows -4 being repeatedly (7 times) added. -7 added 4 times would be a different model.

The answer is be -28

PLEASE HELP!!! 10+5 POINTS!
Which number is written in scientific notation?

A 4.5 x 10 ⁻³

B 14.5 x 10²

C 0.78 x 10⁻⁶

D 5.7 x 4⁸

Answers

A because the decimal always has to be less than ten, and it has to be multiplied by 10 with an exponent

Answer:

It's A

Step-by-step explanation:

I took da quiz

plz help quickly
plzzzz​

Answers

Answer:

D.)1.7

Step-by-step explanation:

it's positive and above the 1 point

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