The linear scale factor of two similar shapes is in ratio 3:4 if the area of the smaller shape is 72cm, find the area of the bigger shape

Answers

Answer 1

Answer:

128 cm²

Step-by-step explanation:

Given linear scale factor of 2 similar shapes = a : b , then

ratio of areas = a² : b²

Here linear scale factor = 3 : 4 , then

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger shape then by proportion

[tex]\frac{9}{72}[/tex] = [tex]\frac{16}{x}[/tex] ( cross- multiply )

9x = 1152 ( divide both sides by 9 )

x = 128

That is area of larger shape is 128 cm²


Related Questions

Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.

Answers

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230

NO LINKS !!!!
Select all the pairs that are alternate interior angles.
1/2 5/6
4/38/7
A. Z6 and 25
B. 23 and 2 5
C. Z 5 and 24
OD. Z 8 and 2 1
E. Z 2 and 28

Answers

hello isania. the answer is B and E.

Aaron rented a boat at $180 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $375.

Part A: Write an equation in the standard form to represent the total rent (y) that Aaron has to pay for renting the boat for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answers

Answer:

a little bit of a function of the cabinet and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and the cockroaches and zig and sharko and oggy and

7. A gym is offering a deal to members. Customers can sign up by paying a
registration fee of $100 and $28 per month. The function that models this
situation is c(m) = 28m + 100, where m is the number of months and c(m) is
the cost of becoming a member.

Answers

Answer:

I dont know

Step-by-step explanation:

What is the distance between point P and point R?

Answers

Answer:

PR = 10

Step-by-step explanation:

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

The coordinates for P and R are (0,4) and (-6,-4) respectively.

So you plug in the values:

PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]

PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

PR = [tex]\sqrt{36+64}[/tex]

PR = [tex]\sqrt{100}[/tex]

PR = 10

A 12 pack of lemonade costs $5.40.how much do each lemonade costs?

Answers

Each lemonade costs about $2.22. You can achieve this answer by dividing 12 by 5.40.
You divide $5.40/ 12. It is 45 cents each

Four rays come together at a single point. What is the value of the missing angle?

Answers

Answer:

? = 140

Step-by-step explanation:

The rays form a circle, which is 360 degrees

90+ 105+25+? = 360

Combine like terms

220+? = 360

? = 360-220

? = 140

Answer:
140 degrees

Explanation:
All of those angles would add up to 360 degrees since it makes up a full circle.
360-105-90-25= 140

find the area D (1,3) F (-4,-3) E (4, -3)​

Answers

Answer:

Step-by-step explanation:

FE=4+4=8

Altitude=3+3=6

area=1/2×FE×6=1/2×8×6=24 sq. units.

or

area=1/2×

I 1   3|

|-4 -3|

| 4 -3|

|  1  3|

=1/2[(-3+12)+(12+12)+(12+3)]

=1/2[9+24+15]

=1/2[48]

=24 sq. units

Solve 17 and 18 please.

Answers

Answer:

Step-by-step explanation:

17.

sin20° = [tex]\frac{1}{x}[/tex]

x = 1 ÷ sin20°

x2.9238

cos20° = [tex]\frac{x}{y}[/tex]

y = x ÷ cos20°

y ≈ 2.9238 ÷ cos20° ≈ 3.11

18.

x = 2√3 ≈ 3.46

y = √3 ≈ 1.732

4. Find the perimeter of quadrilateral PQRS

Answers

140.1 whatever the unit is

Are lines l and k parallel?

Answers

Answer:

yes they ar op b

Step-by-step explanation:

HELLPPPPPP PLEASEEE!!!

Answers

Answer:

Step-by-step explanation:

The first term is 2

Therefor t₁ = 2

Each aditional term is 5 times the previous term

That's the second  choice

Write an example for binomial of degree 999.

Answers

Answer:

x⁹⁹⁹ + 1

Step-by-step explanation:

a binomial is a polynomial that is the sum of two terms

x⁹⁹⁹ + 1

Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.

Answers

Answer:

Find the answers below

Step-by-step explanation:

Using m<X as the reference angle

Opposite YZ = 7

Adjacent  XY = 10

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinX = opp/hyp

sinX =YZ/XZ

sinX = 7/√149

For cos X

cos X = adj/hyp

cos X =10/√149

Using m<Z as reference angle;

Opposite XY = 10

Adjacent  YZ = 7

Hypotenuse XZ = √149

Using the SOH CAH TOA identity

sinZ = opp/hyp

sinZ =10/√149

sinZ = 7/√149

For cos Z

cosZ = 7/√149

Tami spins a spinner with 7 sections. The sections are numbered 1 through 7 and all sections are the same size

Answers

Answer:

1 / 7

Step-by-step explanation:

Number of sections on spinner = 7

Section is numbered 1 to 7

Since the probability of landing on each section is the same:

Probability that spinner lands on 4 :

Probability, p = Required outcome / Total possible outcomes

Required outcome = landing on 4 = 1

Total possible outcomes = (1 to 7) = 7

P(landing on 4) = 1 /7

I need help with this one

Answers

Answer:

B

Step-by-step explanation:

if you look closely, you can see that the side of it goes up 2, then 2, then 1.

Answer:

The one on the right

Step-by-step explanation:

Two of the volleyball team’s coaches and three of the players’ parents would like to
make speeches during the fundraiser. The principal wants the total time for speeches
to be under 30 minutes. Explain how to write an inequality to find the possible average
length of each speech.

Answers

Answer:

5x < 30

Step-by-step explanation:

coaches = 2x

parents = 3x

total time = under 30 mins

2x + 3x < 30

5x < 30

x < 6

Answer:

Sample response: Choose a variable to represent the average speech length. If x is the variable, then the inequality would be (2+3)x < 30,="" or="">x < 30. The 2 + 3, or 5, represents the total number of people making speeches. Each one would last an average of x minutes, so we want the product of x and (2+3) to be less than 30, the time limit set by the principal.

For those who wanted the sample response.

Which of the following represents the ratio given side to the hypotenuse? (PLEASE ANSWER IMMEDIATELY)

Answers

Answer:

option C

Step-by-step explanation:

[tex]given \ side : hypotenuse \\\\3 : 3 \sqrt2\\\\1 : \sqrt2[/tex]

Plz help, its due soon!! Ill give brainliest

Answers

1. f(x) = 250+2x

Explanation: replace the # of ticket with a variable!

2. f(100) = $450

Explanation: 250+2(100)
250+200 = $450

3. f(150) = $550

Explanation: 250+2(150)
250+300 = $550

I hope this helped!! :)

steve desposite $1800 per month in his saving bank account. If thi is 20% of the monthly income, find his monthly income​

Answers

Step-by-step explanation:

Hey there!

The amount deposited= $1800

And it's just 20% of total monthly amount.

Let total amount be "x".

Then;

$1800 = 20% of X

[tex]1800 = \frac{20}{100} \times x[/tex]

or, 180000= 20x

or, X = 180000=/20

Therefore, total monthly amount or income was $9000.

Hope it helps!

Find the mode from the dot plot. Quick pls

Answers

Hey there!

“What is the mode?”

The mode in mathematical terms means “the REPEATED NUMBER in the data”

Going through all of the terms in the given data none of them seems to be repeated

Option A-C aren't the answers because NONE of those numbers repeated in the data plot

Option D. is the answer because there are no given data in the plot

Answer: Option D. “There is no mode”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)



I’m really confused, can I get some help

True or False: The following lengths make a right triangle?
a = 6
b = 8
C = 9
6
8
9
O True
O False

Answers

Answer:

False is the correct answer

6²=36

8²=64 add them 100≠9²

What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)

36 ft.
37.68 ft.
36.26 ft.
38 ft.

Answers

Answer:

37.68ft

Step-by-step explanation:

Answer:

37.68 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

Last question math please help

Answers

e. OBTUSE TRIANGLE- A triangle where one angle measures more than 90°.

c. SIMILAR TRIANGLES- Two triangles that are the same shape but different sizes.

i. REGULAR POLYGONS- A polygon where all sides are equal in measure.

b. CONGRUENT TRIANGLES- Two triangles that are exactly the same size and shape.

d. ACUTE TRIANGLE- A triangle where all sides are less than 90°.

f. EQUILATERAL TRIANGLE- A triangle where all sides and all angles are equal in measure.

h. RIGHT TRIANGLE- A triangle where one angle is 90°.

j. IRREGULAR POLYGONS- A polygon where all sides are not equal in measure.

g. ISOSCELES TRIANGLES- A triangle where two sides and two angles are equal in measure.

a. PROPORTIONAL- When dimensions are multiplied of divided by a value so the resulting objects have the same shape but different sizes

Have a nice day
(Pls say if my answer is wrong)
If my answers are correct brainliest pleass!
-SpaceMarsh


Help are these correct ahahahahhh and explain pls

Answers

Both answers are corrrect!


Rotate the triangle 90° anti-clockwise about the cross.​

Answers

Answer:

see below

Step-by-step explanation:

-90 degrees, the rule is (x, y) --------> (-y, x)

The leftmost point is at (1,1) so it will be at (-1, 1)

The top right point is at (4,1) so it will be at (-1,4)

The bottom right point is at (4,-1) so it will be at (1,4)

What is the first step to solve this equation?

3x + 6 = 10 + 3x + 4x

Answers

Answer:

Combine like terms

Step-by-step explanation:

3x + 6 = 10 + 3x + 4x

Combine like terms

3x + 6 = 10 + 7x

Subtract 3x from each side

3x-3x + 6 = 10 + 7x -3x

6 = 10 +4x

Subtract 10 from each side

6-10 = 10+4x-10

-4 = 4x

Divide by 4

-4/4 = 4x/4

-1 =x

Answer:

3x + 6 = 10 + 7x

is the first step to solving this equation

What percent does a lender generally look for when considering the debt-to-income (DTI) ratio of a loan applicant?

a. less than or equal to 36%
b. less than or equal to 42%
c. less than or equal to 50%
d. less than or equal to 72%

Please select the best answer from the choices provided

A. B. C. D.

Answers

Answer:

A

Step-by-step explanation:

less than 36% seems fine

Answer:

A

Step-by-step explanation:

Find the surface area of a cylinder with a height of 7 feet and base radius of 4 feet. ,_____ square feet ​

Answers

Answer:

276.32

Like I have explained in a prev. Question of yours.

Answer:

The surface area of cylinder is 276.32 feet²

hope it helps

have a nice day

If x varies inversely as y and x = 18 when y = 2.4, what is the value of x when y = -6 ?​

Answers

Answer:

Download Microsoft Math solver you will get you answer from there

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