Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning.

Answers

Answer 1

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:

Area of larger region = 7 * 490 cm² = 3430 cm²

Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²

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Related Questions

i need help with 7th grade math please 30 points need help ASAP + brainleist

Answers

Answer:

See below ~

Step-by-step explanation:

Circle 1

Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 mArea = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²

Circle 2

Area = πr² = 3.14 x 1² = 3.14 mm²Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mm

Answer:

circumference with diameter 5=15.7m

area with diameter 5=19.625m²

Solve for x, please show work!

Answers

Answer:

Can you show me the question? Because the picture doesn't have enough datum

If you vertically stretch the the exponential function f(x)=2x by a factor of 4, what is the equation of the new function?

Answers

Answer:

The answer would be fx=4(2x)

Step-by-step explanation:

have a good day!!

please help!! Trying to catch up on my old due assignments before summer

If you’re able to, please explain how you did it

Answers

Answer:

A = 50.24 inch^2

Step-by-step explanation:

Area = πr^2

So we have r =4inch and let π = 3.14

A = 3.14 * 4^2

A = 50.24 inch^2

Answer=50.24

Explanation:
Because the radius (r) is 4 & Because your teacher would like us to use 3.14 as Pi, we can plug it into the formula like so:

3.14(4)^2

This equal 50.24

Add.

−4 3/8 + 8 6/7

It should be a mixed number.

Answers

Answer:

4 27/56

Step-by-step explanation:

−4 3/8 + 8 6/7

8 6/7−4 3/8

subtract whole numbers 8-4=4

combine fractions 6/7-3/8=27/56

4+27/56

=4 27/56

There are 10 participants in the Olympic 100 meter sprint. If first, second, and third place get medals, how many possible outcomes of medal winners are there if Usain Bolt places first?

Answers

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal

In real life length can't be a?

Answers

Answer:

depends on where you look

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129, 600 kilograms. The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters. What is the density of aluminum?

Answers

If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.

What is density?

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.

The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.

Then the density of the aluminum will be

The volume of the aluminum brick will be

V = 6 x 2 x 4

V = 48 cubic m

Then the density will be

D = 129600/48

D = 2700 kg per cubic m

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in standard form for properties of exponents

Answers

Answer:

1 / 64

Step-by-step explanation:

(2^2)^-3

apply exponent rule: (a^b)^c = a^(bc)     a ≥ 0

2^((2) - 3)

((2) - 3) = -6

2^-6

apply exponent rule: a^-b = 1 / a^b

2^-6 = 1 / 2^6

2^6 = 64

1 / 64

Let me know if you have any questions !

It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?

Answers

Answer:= 0.124688 oz per fl

Step-by-step explanation:

This is a fraction equal to

3.99 oz ÷ 32 fl

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 32

3.99 oz ÷ 32

32 fl ÷ 32

=

0.124688 oz

1 fl

=

0.124688 oz

fl

= 0.124688 oz pe

Which is the graph of linear inequality 2y > x – 2?

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.

Answers

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

How to graph inequality?

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

The given linear inequality is,

[tex]2y > x - 2[/tex]

Solve it further,

[tex]2y > x - 2\\2y-x > - 2[/tex]

Change the inequality with changing the sign of it,

[tex]x-2y < 2[/tex]

The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,

The inequality is shaded with dotted line.As the equation is linear. Thus, in the graph, a straight line is plotted.The sign in of greater than. Thus, the left of the line is shaded.

Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.

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What is the mean of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3

Answers

Answer:

2.75

Step-by-step explanation:

1. Find the value of x in this figure.

A) 50
B) 60
C) 40
D) 30

Answers

Answer:

x = 30

Step-by-step explanation:

x = 90 - 60 = 30

x = 30

.................................................

x = 30

x = 90 - 60 = 30

NEED HELP QUICKLY!!


Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335

Answers

Answer:  4/3

Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total

Answers

499

199

+-------  the answer is 698 you have to add 499 and 199.

simplify the expression
5(m+1) -1 =

Answers

We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1

5m + 4

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?

Answers

Answer:

yes

Step-by-step explanation:

Each batch requires   2/3 c / batch

  time 4 batches:    4 * 2/3 = 8/3 cups = 2 2/3 cups

    he has 3 cups ,  so he has enough to make 4 batches

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form) A) y = 6x - 14 B) y = 6x + 14 C) y = -6x - 14 D) y = 1 6 x - 14

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

Good luck.

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

 Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
12.5 hours and earned $110. How much money does Jamal earn per hour?
* Write an equation you can use to solve the problem , then find the solution

Answers

Answer:

$8.8 per hour

Step-by-step explanation:

Well, the equation is simple.

Time (hours) * Money (per hour) = Total

We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number

12.5 * money = 110

To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working

money = 110/12.5

money = 8.8$

You can also check it out to make sure it's correct.

If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out

8.8 * 12.5 =?

8.8 * 12.5 = 110, the same total amount so our solution must be correct.

Find equation of the straight line that passes through the point (-1,1) and is perpendicular to 2y = 3x +2

Answers

Answer:

3y = -2x + 1

Step-by-step explanation:

Equation of given line is 2y = 3x + 2

==> y = (2/2)x + 1

Slope = 3/2

Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3

So equation of perpendicular line is of the form

y = (-2/3)x + c where c is a constant

Given that this passes thru x= -1, y =1 we can substitute these values in the above to get

1  =  (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3

So the equation of the perpendicular line is

y = (-2/3)x + 1/3

3y = -2x + 1

Use the box plots comparing the number of boy dogs and number of girls dogs attending doggy daycare each day for a month to answer the questions.



Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Part A: The IQR for the males' data.  23

Part B: The difference between the median values of each data set. 13

Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females

Part D:The possible reason for the outlier in the data set. The day the movie premiered

What will be the answers?

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

Minimum                                         0           0

FIrst Quarlite Q1                             2           5

Second Quarlite, Mediun Q2        20         7

Third Quarlite                                 25         40

Maximum                                        50         18

Outlier                                                           46

Part A:

The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B:

The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

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Alexandra has a bag of stickers, 1/4 are red, 1/3 are black, 1/8 are green, and 1/12 are yellow. She picks a sticker without looking. What color is she MOST likely to choose?

Answers

Answer:

las negras, 1/3 es mayor

Step-by-step explanation:

Espero te sirva <3

simplify the following

Answers

Answer:

[tex]-20\sqrt{3}-5\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]

Rewrite 12 as 4 · 3  and 50 as 25 · 2 and 48 as 16 · 3 :

[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]

[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]

As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:

[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]

Simplify:

[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]

Collect like terms:

[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]

Combine like terms:

[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]

how much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power

Answers

Answer:

8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8

Step-by-step explanation:

To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8

Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.

Answers

The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

− 3x + 5y = 22 or 3x = 5y − 22   ...1

 20y − 11 = 12x or 12x = 20y − 11   ...2

The system of the equations follows the condition that will be

12/3 = 20/5 ≠ 11/22

4 = 4 ≠ 1/2

This is the condition for the parallel lines or no solution.

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Answer:

2x + y = 4, 5y = 10x + 4

is a system of linear equations representing intersecting lines.

2x + 3y = 21, -6y = 4x + 1

is a system of linear equations representing parallel lines.

-2x + 4y = 9, 8y = 4x + 18

is a system of linear equations representing coincidental lines.

Step-by-step explanation:

Graphed them all.

in which number does the digit 5 have a value that is 10 times as great as the value of the digit 5 in 253,829

Answers

Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.

What does it mean to move a digit one position to the left?

It means that the value of the digit is multiplied by 10.

Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.

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What expression is equivalent to
27+2 x 32

Answers

Answer:

well when its simplyfied its 91

Step-by-step explanation:

27 + 64 mutipliction first

27 + 64 = 91

Find the area K of the triangle.
a=4, b=5, C = 25°
K=
square units
(Round to two decimal places
as
needed.)

Answers

Answer:

  4.23 square units

Step-by-step explanation:

The area of the triangle is given by the formula ...

  K = 1/2ab·sin(C)

__

Filling in the given values, we find the area to be ...

  K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units

look at attachment and try to solve

Answers

The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The problem can be solved as,

The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.

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Francis works and earns $3437 dollars but on a pay stub pays 42% to tax.

Answers

Answer:

Francis has $1,993.46 left of his pay stub

Step-by-step explanation:

earns $3437 dollars

42% to tax (yikes! almost half of their pay)

42% of $3437 dollars: $3437 x 0.42 = 1,443.54

Francis is paying $1,443.54 in taxes

$3437 - $1,443.54 = $1,993.46

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