A photograph is 6 in x4 in. If you make a copy of the photograph with double the length and width, what is the area of the copy?

Answers

Answer 1

The area of the copy would be 36 in x16in

Answer 2

The area of the copy of the photograph, with doubled dimensions of 12 inches by 8 inches, is 96 square inches, which is four times the area of the original photograph.

To find the area of a copy of a photograph with dimensions that are double the original, you first find the new dimensions. Since the original photograph is 6 inches by 4 inches, doubling both the length and the width gives us dimensions of 12 inches by 8 inches for the copy.

The area of a rectangle is found by multiplying the length by the width. Therefore, the area of the copied photograph is 12 inches x 8 inches, which equals 96 square inches. This is four times the area of the original photograph since the scale factor for both the length and the width is 2, and the area scales with the square of the scale factor (22).

In conclusion, the area of the copied photograph is 96 square inches. This calculation demonstrates that when you change the linear dimensions of a figure by a scale factor, the area changes by the square of that scale factor.


Related Questions

Solve for x: 27/x +29=38

Answers

Answer:

x=3

Step-by-step explanation:

27/x +29=38

Multiply all terms by x and cancel:

27+29x=38x

29x+27=38x(Simplify both sides of the equation)

29x+27−38x=38x−38x(Subtract 38x from both sides)

−9x+27=0

−9x+27−27=0−27(Subtract 27 from both sides)

−9x=−27

−9x

−9

=

−27

−9

(Divide both sides by -9)

x=3

Final answer:

To solve for x, subtract 29 from both sides, multiply both sides by x, then divide both sides by 9 to get x = 3.

Explanation:

To solve for x in the equation 27/x + 29 = 38, you first want to isolate the term with x. We can do that by subtracting 29 from both sides to get: 27/x = 38 - 29, simplified to 27/x = 9.

Next you want to get rid of the x in the denominator, which implies multiplication. You can multiply both sides of the equation by x, which will give: 27 = 9x.

To finally solve for x, divide both sides by 9 to get x = 27/9, so, x = 3.

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write an expression to represent:

Eight less than the product of two and a number X. ​

Answers

2X - 8 is used to represent Eight less than the product of two and a number X. ​

How to write the equation

To represent "Eight less than the product of two and a number X" as an expression, we can use the following equation:

2X - 8

In this expression, 2X represents the product of two and the number X, and subtracting 8 from it gives us "eight less than the product of two and a number X."

The product of two and the number X is obtained by multiplying 2 and X, which gives us 2X.

The expression "2X - 8" then subtracts 8 from the product 2X. This subtraction of 8 represents "eight less than" the product of two and a number X.

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Is change in math always represented as a positive number even when its negative?

Answers

I think you mean like a number decreasing at a percentage. Yea it’s gonna be positive cause like it’s a number but then it’s probably gonna say decreasing making it negative or increasing making it positive. I’m pretty sure, correct if I’m wrong.

The table shows the daily temperatures for a city. What is the mean absolute deviation for this data?

A) 5.2
B) 6.1
C) 55
D) 57

Answers

Where is the picture

And I think the answer is 6.1

Answer:

A.) 5.2 is the deviation

Step-by-step explanation:

Allow me to explain!

The mean of the data is found by adding the four temperatures (5.2+6.1+55+57) and dividing by 4. This gives you 30.825. The number given that is furthest from this number is 5.2, making it your answer.

a 12 inches by 12 inches by 12 inches container of water was placed in the freezer.Water expands 4% when it is frozen.What is the volume of the container when it is frozen?​

Answers

1,797.12 cubic inches



First, find the original volume of the container.

12 in * 12 in * 12 in = 1,728 in^3

Now, add 4%, or multiply by 104%, which is 1.04.

1,728 in^3 * 1.04 = 1,797.12 in^3

So, the volume of the container when it is frozen is 1,797.12 cubic inches.



Please consider marking this answer as Brainliest to help me advance.

HELPP
Given: Diameter QG,

mFG=46°, mQE =58°

Find: m∠GQF and m∠GPF


i already know that m∠GPF is 52
idk what ∠GQF

Answers

Answer:

m∠GQF=23°

Step-by-step explanation:

This is equal to 23 degrees because you know that mFG is 46°. Now, you use a theorem similar to Peripheral ∠ Th. to get 23°

Answer:

[tex]m\angle GQF=23^{\circ}[/tex]

[tex]m\angle GPF=52^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a circle and we are asked find the measure of angle GQF and measure of angle GPF.

We know that the measure of an inscribed angle is half the measure of its intercepted arc. To find the measure of angle GQF we will divide the measure of its intercepted arc (FG) by 2.

[tex]m\angle GQF=\frac{1}{2}\times 46^{\circ}[/tex]

[tex]m\angle GQF=23^{\circ}[/tex]

Therefore, the m∠GQF is 23 degrees.

We know that measure of angle formed by two intersecting secants inside a circle is half the sum of their intercepted arcs.

[tex]m\angle GPF=\frac{1}{2}\times(\text{Measure of arc FG+arc QE})[/tex]

[tex]m\angle GPF=\frac{1}{2}\times(46^{\circ}+58^{\circ})[/tex]

[tex]m\angle GPF=\frac{1}{2}\times(104^{\circ})[/tex]

[tex]m\angle GPF=52^{\circ}[/tex]

Therefore, the m∠GPF is 52 degrees.

For which distributions is the median the best measure of center? Select each correct answer.

Answers

The 3rd one- the median is the exact centre
Similar logic may also apply to D as the median is close to the centre

Answer with explanation:

Let me start answering this Question like this.

Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.

What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median

Consider Bar graph of Data set 1

Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}

When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)

Mean

    [tex]=\frac{235}{11}\\\\=21\frac{4}{11}[/tex]

Median =Mid value =20

Median  - Smallest variate =20 -10=10

Largest Variate - Median =35-20=15

→→→Consider Bar Graph of Data set 2

Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}

When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)

Mean

 [tex]=\frac{199}{14}\\\\=14\frac{3}{14}[/tex]

Median

        [tex]=\frac{9+18}{2}\\\\13.5[/tex]

Median  - Smallest variate =13.5 - 2=11.5

Largest Variate - Median =30 -13.5=16.5

→→Consider Bar Graph of Data set 3

Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}

When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)

Mean

   [tex]=\frac{44}{10}\\\\=4.4[/tex]

Median

       [tex]=\frac{4+5}{2}\\\\4.5[/tex]

Median  - Smallest variate =4.5 -3=1.5

Largest Variate - Median =5-4.5=0.5

Consider Bar graph of Data set 4

Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}

When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)

Mean

     [tex]=\frac{192}{12}\\\\=16[/tex]

Median

     [tex]=\frac{14+15}{2}\\\\14.5[/tex]

Median  - Smallest variate =14.5 - 11=3.5

Largest Variate - Median =28 - 14.5=13.5

Drawing Box plot of four data set

Found that, for data set 3, median lies in the center.

Option 2 and Option 3

PLZ help me!!!! I have no idea how to do this!

Answers

Answer:

a)[tex]y^b z^{(b-1)}[/tex]

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

d is the answer

Which polynomial is a quintic binomial?

A: x^2+4x

B: 3x^5+2

C: x^4+2x^3-x^2+7x+11

D: 5x^2-2x+1

Answers

ANSWER :

Quintic binomial is a binomial having highest degree 5.

So (B) 3x^5+2 is correct having highest degree .

Hope this helps

Thanks

Final answer:

The quintic binomial among the options given is B: 3[tex]x^5[/tex] + 2, as it has two terms and its highest degree is five.

Explanation:

The question asks to identify which polynomial is a quintic binomial.

A quintic polynomial is one where the highest degree of any term is five, and a binomial is a polynomial with exactly two terms.

Looking at the options provided, Option B: 3[tex]x^5[/tex] + 2 fits this description, as it has two terms and the highest degree is five.

How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00

Answers

Answer:

$613.35

Step-by-step explanation:

As 1.45% of employee's pay check goes to the Medicare, so

Total pay of Kasey in next year=$42300

Amount to be paid to medicare=1.45% of Kasey^' s pay

=42300*  1.45/100

=42300*  145/10000

=  6133500/10000

=613.35

Kasey will have to pay $613.35 to Medicare.  

sin(x)=1/4 [0, 360]​

Answers

Answer:

[tex]x=14.5\degree[/tex] or [tex]x=165.5\degree[/tex]

Step-by-step explanation:

We want to solve the equation;

[tex]\sin x=\frac{1}{4}[/tex] on the interval [tex][0,360\degree][/tex]

The sine ratio is positive in the first and second quadrant.

We take the sine inverse of both sides of the equation to get;

[tex]x=\sin^{-1}(\frac{1}{4})[/tex]

[tex]x=14.5\degree[/tex]

This is the angle in the first quadrant.

In the second quadrant;

[tex]x=180-14.5[/tex]

[tex]x=165.5\degree[/tex]

How many students participated in the survey

Answers

50 people answered the survey.

50 participated in the survey

70p divided by p squared

Answers


[tex] \frac{70p}{p {}^{2} } = \frac{70}{p} [/tex]

*Easy points!* Find the slope of the line in the image below! *Will mark Brainest!*

Answers

Answer:

    -4

   ------

     6

Step-by-step explanation:you go down 4 and across 6 so since you go down it is a negative by the way the answer on the top is a fraction.

I=-2,3

III= -1, 4

*I think sorry if it’s wrong*

Help! Will give brainliest! (Whatever it’s called )
Thank you!!
Find the surface area! :)

Answers

Answer:

A=777.54

Step-by-step explanation:

What you do is use the formula which is

a=2pirh+2pir^2.

The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.

The height is 9 m.

A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.

Answer:

 777.15 m^2

Step-by-step explanation:

To find the surface area of a cylinder

SA = 2 pi r h + 2 pi r^2

The area of the sides Plus the area of the top and bottom

We know the diameter is 15 so the radius  is 1/2 (15) = 7.5

SA = 2 * pi * (7.5) * 9 + 2  * pi * (7.5)^2

     = 135pi + 112.5pi

        247.5 pi

Approximating pi with 3.14

      247.5 (3.14)

     777.15 m^2

How do you find the area of 12ft and 20ft and 18ft​

Answers

Answer:

106.65

Step-by-step explanation:

its the same formula as the area of a triangle.... smallest number as base

A cone-shaped paper cup is 2.5 inches high and has a radius of 1.5 inches. What is its volume to the nearest hundredth?

Plz Help

Answers

Answer: 5.89 cubic inches.

Step-by-step explanation:

you use the formula v=pi radius squared h/3

Answer:

5.9

Step-by-step explanation:

calculate the shaded area

Answers

Answer:

116cm^2

Step-by-step explanation:

This problem is just a matter of finding the area of the large and the small circle. To find the area of the large circle, you will use the equation: A = pi*r^2 in the following manner:

A = pi*r^2

A = pi*6.5^2

A = pi*42.3

A = 133

Next, you need to subtract the smaller circle from the area to only have the shaded area. Do this like the following:

A = pi*r^2

A = pi*2.3^2

A = pi*5.29

A = 16.6

Lastly, you just need to subtract! Do this like the following:

A = 133 - 16.6 = 116.4cm^2 = 116cm^2

Answer:

The area of shaded area is 116.14 cm²

Step-by-step explanation:

The area of circle is given by

A=πr²

Wee have 2 radii

Lets find for the radius 2.3

A = π * 2.3²

A = 16.61

Now lets find for the radius 6.5

A = π * 6.5²

A = 132.73

Now

The shaded area is 132.75 - 16.61

Shaded area = 116.14

HURRY ITS TIMED!!!!!

A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of pi.

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 40/2 = 20

Substitute the values in

Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]

Simplify to get an answer of:

surface area = [tex]2080\pi feet^2[/tex]

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

I need help please????

Answers

The one you have highlighted is correct

the first one is the right one

Find the square inches

Answers

Answer:

The area of the figure is 16

Step-by-step explanation:

If you look closely there are four squares inside the figure so you get the area of one square and times it by four for the area of 16.

Answer:

16 in^2

Step-by-step explanation:

Think of the entire shape as a rectangle above and a square below. The rectangle's length and width are 6 inches and 2 inches. The side of the square is 2 inches.

area of rectangle: Ar = length * width

area of square: As = side^2

total area = Ar + As

total area = 6 in * 2 in + (2 in)^2

total area = 12 in^2 + 4 in^2

total area = 16 in^2

What is the radius of 8 cm. What is the radius, diameter,circumference

Answers

the radius is 8cm,the diameter is 16cm,and the circumference 50.27.

Answer:radius=8cm diameter=16cm

Circumference=16π

Step-by-step explanation:diameter= r•2 Circumference=2•π•r

Find the length of AC if AB=24

Answers

Answer: 48

Step-by-step explanation:  If B is the midpoint AB make 24 if you want to know the whole length then you would add 24+24+48 which makes AC 48

Find all real zeros of the function y=-5x-7

Answers

Answer:

x=1 2/5

Step-by-step explanation:

Replace y with 0 and solve for x.

Answer:  The required zero of the given function is x = -1.4.

Step-by-step explanation:  We are given to find all the real zeroes of the following function :

[tex]y=-5x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Since the given function is linear, so it will have only one real zero.

Also, the zeroes of a function y = f(x) is given by f(x) = 0.

So, the zero of the given function (i) is

[tex]y=0\\\\\Rightarrow -5x-7=0\\\\\Rightarrow 5x=-7\\\\\Rightarrow x=-\dfrac{7}{5}\\\\\Rightarrow x=-1.4.[/tex]

Thus, the required zero of the given function is x = -1.4.

A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer ​

Answers

Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and 40 cubic feet of sand.

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

Plz help me I’m very confused plz explain I really need help

Answers

Answer for problem 7 is B) Kelly

Since she has the most heads come up, making her chances to be best of getting heads.

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

Answer for problem 8 is D) Jessica

Divide each of the four values (102, 164, 75, 139) by 250 to get

102/250 = 0.408

164/250 = 0.656

75/250 = 0.300

139/250 = 0.556

We see that Jessica's empirical probability of 0.556 is closest to that of 1/2 = 0.500 which is the theoretical probability of getting heads.

La réponse au problème 7

est B) Kelly

La réponse au problème 8

est D) Jessica

102/250 = 0,408

164/250 = 0,656

75/250 = 0,300

139/250 = 0,556

Nous voyons que la probabilité empirique de Jessica de 0,556 est la plus proche de celle de 1/2 = 0,500 qui est la probabilité théorique d'obtenir des têtes.

435,098 rounded to the nearest ten thousand place is ?

Answers

Answer:

440,000

Step-by-step explanation:

435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.

435,098 rounded to the nearest ten thousand place is Option (E) 440,000.

Process of rounding off -

Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.

How to round off the given number in the question ?

The number given is 435098.

Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.

Therefore from the Options given, the correct rounded off number is Option (E) 440,000.

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What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x > –

Answers

I couldn't understand the last part, I think they are just options

The last part should be x>-9

Hope it helps!

#MissionExam001

Joan wants to reduce the area of her posters by one-third. Draw lines to match the original dimensions in the left column with the correct new area in the right column. Not all dimensions will have a match.​

Answers

Answer:

1) [tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

2) [tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

3) [tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

4) [tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]30\ in\ by\ 12\ in[/tex]

Find the area with the original dimensions

[tex]A=30(12)=360\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]360/3=120\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

case 2) [tex]30\ in\ by\ 18\ in[/tex]

Find the area with the original dimensions

[tex]A=30(18)=540\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]540/3=180\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

case 3) [tex]12\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=12(15)=180\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]180/3=60\ in^{2}[/tex]

therefore

[tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

case 4) [tex]18\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=18(15)=270\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]270/3=90\ in^{2}[/tex]

therefore

[tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

-3x - 3y = -30
-2x + 7y = -2





(This is elimination)

Answers

Answer:

Step-by-step explanation:

-3x - 3y = -30

-2x + 7y = -2

-3x - 3y = -30  /*(-2)

-2x + 7y = -2 /*3

6x + 6y = 60

-6x + 21y = -6

6x - 6x + 6y + 21y = 60  - 6

27y = 54

y = 2

-3x - 3y = -30

-3x - 3*2 = -30

-3x - 6 = -30

-3x = -30 + 6

-3x = - 24 / : (-3)

x = 8

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