What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?

What Are A) The Ratio Of The Perimeters And B) The Ratio Of The Area Of The Larger Figure To The Smaller

Answers

Answer 1

Answer:

Suppose that we have two similar figures.

Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M

Where k is the scale factor.

Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P

And if the area of the first figure is A, then the area of the other figure will be:

A' = k^2*A

Then the quotient between the perimeters is:

P'/P = k

And the ratio between the areas is

A'/A = k^2

So what we need to do, is find the value k.

In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.

If we define the smaller figure as the original one, then we will have:

M = 12 yd

M' = 30 yd

M' = 30yd = k*12yd = k*M

Solving for k we get:

k = 30yd/12yd = 2.5

Then the ratio between the perimeters is:

P'/P = k = 2.5

And the ratio of the area of the larger figure (A') to the smaller figure (A) is:

A'/A = k^2 = (2.5)^2 = 6.25

 


Related Questions

what is the sum of 2a+10b-c

Answers

Answer:

Step-by-step explanation:

This expression cannot be simplified in any way.  2a and 10b are NOT "like terms."  Likewise, the 'c' term has nothing in common with the other two terms.

last one i hope (no pictures).

Answers

Answer:

9

Step-by-step explanation:

RST = 90

90 - (22 + 41) = 27.

3x = 27

27/3 = 9

x = 9

What is the coefficient of x4 y3 term in the expansion of ( x-2y )7?

Answers

The coefficient of  x⁴y³ term in the expansion of  (x - 2y)⁷ is 280.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given expression:

(x - 2y)⁷

Expand this as given below,

(x - 2y)³ × [(x - 2y)²]²

(x³ + 6x²y + 12xy² + 8y³) × [(x² + 4y² - 4xy)]²

Solve the above expression to get,

x⁷ + 14x⁶ + 84x⁵y² + 280x⁴y³ + 560x³y⁴ + 672x²y⁵ + 448xy⁶ + 128y⁷

Here, the coefficient of the x⁴y³ is 280,

Therefore, the coefficient of  x⁴y³ term in the expansion of  (x - 2y)⁷ is 280.

To know more about the expression:

https://brainly.com/question/13947055

#SPJ1

what affects the mobility of factor of production​

Answers

Answer:

Domestic factor mobility. refers to the ease with which productive factors like labor, capital, land, natural resources, and so on can be reallocated across sectors within the domestic economy. Different degrees of mobility arise because there are different costs associated with moving factors between industries.

A circle is graphed on a coordinate grid and then reflected across the y axis. if the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?

Answers

Answer:

(-x,y)

Step-by-step explanation:

If it's positive and you flip it accross the y-axis, the x- coordinates become negative.

What are the measurements of each angle?

Answers

Answer:

2. 70

3. 70

4. 110

5. 110

6.70

7. 70

8. 110

Step-by-step explanation:

a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs

Answers

Answer:

D. 21, 14

Step-by-step explanation:

As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.

21 = 3y

/3    /3

7 = y

y + 7 = 2y

-2y     -2y

-y + 7 = 0

   -  7  - 7

-y = -7

* -1  * -1

y = 7

In both instances, y = 7. Now let's substitute that.

21 = 3(7)

21 = 21 is true.

7 + 7 = 2(7)

14 = 14 is true.

With that, the lengths of the opposites sides are 21 & 14, which is D.


Find the product 8/6n - 4(9n^2 -4)

Answers

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Mrs.Revves has 20 identical boxes without labels. She knows that she has two boxes of pens, 10 boxes of paper, two boxes of crayons, and six boxes of glue. She opens one box what is the probability that its glue.

Answers

Answer:

3/10

Step-by-step explanation:

probability box opened is glue = number of boxes that contain glue / total number of boxes

6/20

To transform to the simplest form. divide both the numerator and the denominator by 2

3/10

Which is larger? Convert to a decimal using long division. please show your work!!

Answers

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255

PLZ ANSWER THIS I CANT FIGURE OUT THE SECOND ONE

(INSTANTANEOUS ROC)

I will give you brainiest if you answer it right

Answers

Answer:

Step-by-step explanation:

The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.

Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.

Find the surface of this triangular prism please

Answers

Answer:

270cm²

Step-by-step explanation:

The formula is given as

S = bh × l (s1 + s2 + h)

l = 7cm

h = 5cm

s1 = 12 cm

s2 = 13cm

b = 12 cm

Surface Area = 12 cm × 5 cm × 7 cm(12 cm+ 13 cm+ 5cm)

= 60cm² × 7 cm(30 cm)

= 60cm² + 210 cm²

= 270 cm²

What is the length of each leg of the triangle below?

explain it please so i know how to do it please

Answers

Answer:

I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.

Step-by-step explanation:

7. Mahmoud runs to a marker and back in 15 minutes. His speed on
the way to the marker is 5 m/s and his speed on the way back is
4 m/s. Find the distance to the marker.​

Answers

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
A.y=x+6
B.y=-2x+8
C.y=-2x+4
D.y=1/2x+4

Answers

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

Answer: B. (y=-2x+8)

explanation: use slope point intercept
y-y1=m(x-x1)
y-6=-2(x-1)
y-6=-2x+2
y=-2x+8

Which answer describes the type
of sequence?
3, 4, 7, 11, ....

neither arithmetic nor geometric
geometric
arithmetic

Answers

arithmetic is the answer

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

using the variable in write a variable expression for the word phrase. 5 times a number plus 13.​

Answers

let’s say the unknown number is x
So, the equation will be:
5x + 13

PLZ HELP
i’ll give brainliest

Answers

Answer:

The correct answer is -29/3

Answer to ur problem V= -29/3

Estimate the number of pints in 445 ounces

Answers

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

solve:
4sinx=3cosecx(0<=X<=180°)​

Answers

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

Question 3: B

Question 4: A, D, E

Step-by-step explanation:

Polynomials can not have a variable appear in the denominator.

4b^4-9b+2, 2x+7, and x-3 are in standard form.

Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6

Answers

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

PLZZ MHANIFA THIS THE LAST ONE
its all in the pic

Answers

Answer:

1) Use two points to find the slope

Points from the graph

(0, -1) and (1, 2)

Find the slope:

m = (2 - (-1))/(1 - 0) = 3

Slope is 3, y-intercept is -1

The line is:

y = 3x - 1

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

m = 2/5

Line is:

y = 2/5x

This is proportional

3)  is answered here: https://brainly.com/question/23004781

what is the order of these from smallest to greatest?
-3, +4, -5, -1, +1, -6

Answers

Answer:

-6, -5 ,-3 ,-1 ,1 ,4

Which of the x values are solutions to the inequality 4(2-x)>-2x - 3(4x + 1 )

Answers

Answer:x=0 and x=10

Step-by-step explanation:

2. You roll a single die number 1 to 6. What are the odds of rolling
number?
an ODD

Answers

Answer:

1/2

Step-by-step explanation:

There are three odd and three even numbers on the die which would make 3/6 and simplified it is 1/2.

Answer:

it would be a 50% chance or 1/2 of rolling an odd nummber

Step-by-step explanation:

A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to find the original price.

Answers

Answer: 341.4286

Step-by-step explanation:

Harvey owes $32,850 in student loans. He has $1,380 in his bank account and a car worth $6,850.-
still owes $2,080 on the car. He also has $4,300 worth of investment funds and $1,040 of credit car
debt. What is his net worth?
A-532,040
B -$23,440
C $33,660
D$42,260

Answers

Answer:

b

Step-by-step explanation:

he will be negatives because he has very little money

Factor 48-8x to identify the equivalent expressions
Choose two answers.

Answers

Here’s one: 8(6-x), that’s already factored.

Answer:

8(6 - x)

Step-by-step explanation:

I'm not exactly sure why the question asks for two answers.

We need to find the highest common factor that goes into both 48 and -8x.

That common factor is 8.

48 / 8 = 6

-8x / 8 = -x

Now, we factorise.

8(6 - x)

The following ordered pairs model a linear function rule.
(-2,-9), (-1,-7), (0,-5), (1,-3), (2,-1)
Which ordered pair can be added to the given set and still have the set represent the same linear function?


a. (1,3)

b. (-3,-11)

c. (3,11)

d. (4,0)

Answers

The answer is c (3,11)

Answer:

c (3,11)

Step-by-step explanation:

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