For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

For Each Pair Figures, Find The Ratio Of The Area Of The First Figure To The Area Of The Second. 14mm

Answers

Answer 1

The ratio of the area of the first figure to the area of the second figure is 4:1

Ratio of the areas of similar figures

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: https://brainly.com/question/11920446


Related Questions

Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w

Answers

Answer:

The answer is C :)

Step-by-step explanation:

1. Oscar and Eli set up a lemonade stand. If they have prepared 2 1/2 gallons of lemonade, how many 1-cup servings can they sell? A) 10 B 20 C
40 D 80​

Answers

Answer:

40 cups

Step-by-step explanation:

There are 16 cups in one gallon. So 16 * 2 1/2 = 40

Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
2. Apply the square root property of equality: Vx3 = +/64
3. Isolate the variable:

Answers

Answer: x = ±8

Step-by-step explanation:

x^2 – 64 = 0

Add 64 to each side

x^2 – 64 +64= +64

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Find the exact value.
sin 9
4
Type + or -

Answers

Step-by-step explanation:

[tex] \sin( \frac{9\pi}{4} ) [/tex]

[tex]0.1230573409[/tex]

Subtract the sum of -1000 and 848 from 590​

Answers

Answer:

742

Step-by-step explanation:

the sum of -1000 and 848

= -1000+848

= -152

Subtract the sum of -1000 and 848 from 590

= 590-(-152)

= 590+152

= 742

I need help with this anybody please ?

Answers

60

The answer is given in the above picture.

Hope u like it............

Definition: An proposed answer to a problem is called
if it can
possibly be within a small distance of the actual answer,
es )
Term:

Answers

Answer:

The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated

Step-by-step explanation:

12. An empty avocado crate weighs 4.2 kg. How many avocados weighing 0.3 kg each can be added before the total weight of the crate reaches 15.0 kg?

Answers

We know that an empty crate weighs 4.2, and the weight of each avocado is 0.3

So we can form an equation: 15.0=4.2+0.3x

(Where x is the number of avocados)

Move 4.2 to the other side as a negative

10.8=0.3x

Divide both sides by 0.3

Therefore, the amount of avocados that can be added is 36

Find the value of the given trigonometric function.
cos 420°

Answers

Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So

cos(420°) = cos(360° + 60°)

cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)

cos(420°) = cos(60°)

since cos(360°) = 1 and sin(360°) = 0. Then

cos(420°) = cos(60°) = 1/2

(-5, -5) (1,3) find the distance between each pair of points

Answers

Answer:

10

Step-by-step explanation:

Plug into Distance formula --> √(1 - (-5))^2 + (3 - (-5))^2

---> 10

Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity

Answers

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Factorization

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ1

PLEASE HELP WITH THIS! IM FALLING BEHIND

Answers

Original side length: A'C'=5

Original angle: 37 degrees

By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.

Resulting side length: A'C'=25

Resulting angle: 37 degrees

The correct answer is C.

[tex]-35x^{6}=(-5x^2)(B)[/tex]

Find the missing factor of B that makes this equation true

Answers

this would be B=7x^4

A washer and dryer cost a total of $1014. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Cost of washers
Cost of dryer:

Answers

Answer:

Washer is $676

Dryer is $338

Step-by-step explanation:

1014 divide by 3 gives you 338.

338 x 2 = $676

676 is twice 338.

676 + 338 = 1014

CAN SOMEBODY HELP ME SOLVE THE EQUATION

Answers

Answer:

72.6

Step-by-step explanation:

y = 3.23x + 33.86

y = 3.23 (12) + 33.86

y = 38.76 + 33.86

y = 72.62

Hope this helps!

If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40

Answers

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

A rectangular playground measures 5/8 mile long and 1/4 mile wide. What is the area, in square miles, of the playground?

Answers

Answer:

5/32 square miles or 0.15625 square miles

Step-by-step explanation:

1/4 miles × 5/8 miles

=5/32 square miles or 0.15625 square miles

solve and ( SHOW YOUR WORK !! )

Answers

Answer:

yea

Step-by-step explanation:

How many​ flowers, spaced every 6​ inches, are needed to surround a circular garden with a 20​-foot ​radius?

Answers

First convert the 20 ft into inches by doing 20x12 (12 inches/ft), giving you 240 inches. Then you would solve for 240/6 since you’re trying to space them by every 6 inches, leaving you with needing 40 flowers total.

Factorize the given expressions below.
a) 6x power 2 -3x

b) x power 2 + 3x - 28

c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.​

Answers

[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]

Step-by-step explanation:

A.6x^2-3x

3x(2x-1)

B.x^2+3x-28

product= -28x^2 sum= +3x factors= +7x, -4x

(x^+7x)(-4x-28)

x(x+7)-4(x+7)

(x-4)(x+7)

C.4au + 24av -5bu - 30bv

4a(u+6v)-5b(u+6v)

(4a-5b)(u+6v)

Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.

Answers

Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

angles A, B, and Y are in quadrants 1, 2, 3 respectively such that:
tan A= 2
tan B= -4/3
cos Y= -1/3
evaluate the following:
1)cos(2B)
2)tan(2A)
3)cos(Y/2)
4)tan(Y/2)
5)sin(B/2)
6)csc(2B)
7)sec(A/2)

Answers

Answer:

so the lol is the very nice in the lol morning in the 1098 in 1233 because is use the lol in morning.

Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your answers line up vertically with the corresponding x and f(x) values. As a hint, you can consider y f(x) to be the base graph of g(x).​

Answers

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

How to transform the table?

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

https://brainly.com/question/4025726

Use the Pythagorean Theorem to find which one of the
following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm

Answers

Hello There!!

Given:-

Altitude (AB) = 9cm

Base (BC) = 12cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Hope This Helps

I don’t understand, can anyone help me?

Answers

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

Helpppppppppppp me out

Answers

Answer:

1.898×[tex]10^{27}[/tex]

2×[tex]10^{27}[/tex]

Step-by-step explanation:

so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)

when dealing with standard form, the unit before the comma must always be from numbers one to nine, always!!!the digits before the comma must never be zero or anything above 9.99999... never!!! after placing your comma all you have to do is count the number of digits (or in this case, zeros) that number of digits after the comma then becomes the power your 10 is being raised to.it is crucial for you to remember that 10, otherwise your number won't be in it's standard form

I hope you'll find this helpful

please correct any and all errors found :)

Can someone please answer this for me i will mark you the brainliest

A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder

A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.

Answers

Answer:

B!

Step-by-step explanation:

2 times pie times 6 times 6 plus 11 equals 640.9

I’ll give BRAINLIEST


Helen is N year old. Helen’s Brother is a year older than her.

a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old

Answers

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

Thanks for joining brainly community!

You have a bag of gummy worms with 5 green, 3 blue, 6 red, and 2 orange. Which expression represents the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?​

Answers

Answer:

[tex]\frac{1}{8}[/tex] I think

Step-by-step explanation:

you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.

so you pull out a red one and eat it. the probabilty of you doing that is [tex]\frac{6}{16}[/tex] . keep it in mind that you ate a gummy worm.after enjoying that gummy worm you decide to take another one, but this time, it's green. you know you just ate one right, but you did not replace it now did you? what that means is out of the 16 gummies you had, you are now left with 15 (because you ate one).now you are left with 15 gummy worms. you take a green one out of the packet. the probabilty of you doing that is [tex]\frac{5}{15}[/tex].

now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.

so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]

whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.

I really hope you found this helpful (that is if all I said is correct) :)

A house is on a 60,000-squarefoot lot. Rounded to the nearest tenth, approximately how many acres are in the lot?

Answers

Answer:

1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.

Step-by-step explanation:

i hope that helps!!

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