The ratio of the sides of two similar polygons is 3:2. The area of the smaller polygon is 24cm squared. What is the area of larger polygon

Answers

Answer 1

Answer: 36cm

Step-by-step explanation:

From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.

Therefore, the area of the larger polygon would be calculated as:

= 24cm ÷ 2/3

= 24cm × 3/2

= 36cm


Related Questions

1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.

A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.

Answers

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

If W + 6 = 3 and v-4 = 2, what is the value of w + v?

Answers

Answer:

w = - 3 and v = - 2

Step-by-step explanation:

Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.

w= - 3

Answer:

[tex]w + v = 3[/tex]

Step-by-step explanation:

Solve for w

[tex]w + 6 = 3[/tex]

Move 6 to subtract 3.

[tex]w = 3 - 6 \\ w = - 3[/tex]

Solve for v

[tex]v - 4 = 2[/tex]

Move 4 to add 2

[tex]v = 4 + 2 \\ v = 6[/tex]

Solve for w+v

Substitute w = -3 and v = 6

[tex]w + v = - 3 + 6 \\ w + v = 3[/tex]

Una caixa plena de raim pesa 21 kilos. Si el raim que hi ha pesa 19 quilo, quant pesa la caixa buida

Answers

Aquesta pregunta és incompleta

Pregunta completa

Una caixa plena de raïm pesa 21 quilos. Si el raïm d’allà pesa 1.9 quilos, quant pesa la caixa buida

Answer:

7.6 quilograms

Step-by-step explanation:

Pas 1

Convertim el pes de la caixa completa de raïm a quilograms

1 lliura = 0.454 quilograms

21 lliures = x

Creu Multiplicar

x = 21 × 0.454 quilograms

x = 9.52544 quilograms

Aproximadament 9.5 quilograms

Ens van dir que el raïm d’allà pesava 1.9 quilos,

Per tant, el pes de la caixa buida és

= 9.5 - 1.9

= 7.6 quilograms

El pes de la caixa buida és de 7.6 quilograms

Please hurry

Lacy is running to raise money in a fundraiser. If her goal is to run 75 miles, how many full days would she leave have to run if she ran the distance of 3.5 miles each day?

Answers

Answer: 21 Full days

Step-by-step explanation:

Divide 3.5 by 75

Answer:

22

Step-by-step explanation:

You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.

Hey there I really need help with this it’s due tonight and I haven’t got a chance to do it may you please help me?

Answers

Answer:

1. Second Option, 2. Second Option, 3. Second Option, 4. First Option, 5. Sonia, 6. 1/2 a mile (.5), 7. $0.25, 8. $21, 9. Stan, Tran, Fran.

Step-by-step explanation:

For all of them, just divide the top number by the bottom number and compare all the numbers.

Please help due in 10 minutes

Answers

It's been awhile since I've done this but I think that D is the answer hope this helps

It’s the third one I check

I need to find the value of X if someone could help that’ll be great! Thank you

Answers

x can be any number, in general. For example anywhere between 1-10. In this case, maybe try subtracting 7 - 4 to find x.

Pls help will give Brainiest

Answers

Answer:

-5

Step-by-step explanation:

The third and fourth number in an exponential sequence 100 and 500. what are the first and second numbers in this sequence?

Answers

Answer:

4 and 20

Step-by-step explanation:

100 times 5 is 500. If we go backwards 500 ÷ 5 = 100.

100 ÷ 5 = 20. 20 ÷ 5 = 4.

An exponential sequence is a sequence that grows more every time. It would get really big really quickly.

The first and second numbers in this sequence is 4 and 20

Given that,

The third and fourth number in an exponential sequence 100 and 500.

Based on the above information, the calculation is as follows:

[tex]= 500 \div 100[/tex]

= 5

And,

[tex]= 100 \div 5 = 20, \\\\20 \div 5 = 4[/tex]

Learn more: https://brainly.com/question/834969?referrer=searchResults

A vacuum cleaner manufacturer offers to its customers two models, three choices of colors, and six accessory packages. How many vacuum sets are required for a complete display

Answers

Answer:

36 Vacuum sets

Step-by-step explanation:

Calculation for How many vacuum sets are required for a complete display.

Using this formula

Numbers of required vacuum sets=Models* Choices of colors*Accessory packages

Let plug in the formula

Numbers of required vacuum sets=2*3*6

Numbers of required vacuum sets=36 vacuum sets

Therefore the vacuum sets that are required for a complete display is 36 vacuum sets

Which cereal is a better buy and how much does it cost per ounce? Cereal A: 18 oz for $3.96 or Cereal B: 24 oz for $4.80?

Answers

Answer:

Cereal B

Step-by-step explanation:

You need to divide the price by its ounces to find the price per ounce.

Cereal A is 3.96/18= 0.22 per ounce

Cereal B is 4.80/24= 0.20 per ounce

This shows that cereal B is cheaper per ounce

At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score

Answers

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

lin paid $94 for 6 meals. How much would 9 meals cost?

Answers

Answer:

140.4

Step-by-step explanation:

Answer:

$141.01 and if it is the nearest whole number it would be $141

Step-by-step explanation:

first you have to do 94 divided by 6. you do this to see how much 1 meal cost.

then you get: 15.67

now you take 15.67x3=47.01

cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.

now we take 47.01+94=141.01

we just need to add 3 to the 6 we have to make 9 meals.

so your answer would be $141.01

plz give brainliest!

Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answer: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.

Answers

Answer:

a = 1, b = - 12

Step-by-step explanation:

we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:

(x - 3)(x + 4)

x^2 + - 3x + 4x - 12

x^2 + x - 12

therefore a = 1 and b = - 12

Step-by-step explanation:

firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]

[tex]3^{2} +3a+b=0[/tex]

9+3a+b = 0

          b = -3a-9

secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]

[tex](-4)^{2} +(-4)a+b=0[/tex]

16-4a+b = 0

          b = 4a-16

combine the equations above,

-3a-9 = b = 4a-16

so -3a-9 = 4a-16

     7a = 7

       a = 1

then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)

b = 4(1)-16 = -12     or        b = -3(1)-9 = -12

If 2a+4b=5 and a is equal to three times b, what is 3a?

Answers

Answer:

3A = 3(1 1/2) = 4 1/2

Step-by-step explanation:

2A + 4B = 5

A = 3B

2(3B) + 4B = 5 [substitute the A for the 3B]

10B = 5 so B = 1/2 [now plug the info in]

2A + 4(1/2) = 5

2A + 2 = 5 [subtract 2 from both sides of the equation]

2A = 3  [divide by 2 to isolate A]

A = 3/2  [now plug in the answers to check your work]

2(3/2) + 4(1/2) = 5

6/2 + 4/2 = 3 + 2 = 5

for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement

Answers

9514 1404 393

Answer:

  3. ΔBEA ~ ΔBCD by AA

  4. ΔPXY ~ ΔPQR by SSS

Step-by-step explanation:

3. The missing angle in ΔBEA is angle E, which has measure ...

  ∠E = 180° -42° -53° = 85°

So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.

__

4. Shortest-to-longest, the side ratios of the two triangles are ...

  12 : 15 : 18 = 4 : 5 : 6

and

  16 : 20 : 24 = 4 : 5 : 6

Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.

HELP PLEASE QUESTION IS IMAGE

Answers

9514 1404 393

Explanation:

There are several possible properties in each case. We have shown one of them.

a) squares and rectangles have four (4) angles of 90°.

b) squares have sides of equal length; rectangles may not.

c) rhombi and squares have diagonals that bisect each other at right angles

d) rhombi have sides of equal length; parallelograms may not.

e) opposite sides of all parallelograms are equal length.

I need this math problem done as soon as possible!

Answers

Answer:

See below

Step-by-step explanation:

Parent function:

y = 3ˣ

Transformed function:

y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)

Transformations to be applied:

f(x) → f(-x) reflection over y-axisf(-x) → f(-2x) stretch horizontally by a factor of 2f(-2x) → f(-2x + 8) translate 8 units rightf(-2x + 8) → 4f(-2x + 8)  stretch vertically by a factor of 44f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units up

Select all ordered pairs that satisfy the function
y = 4x +3.
O (-1-1)
(211)
(4,7)
(71)

Answers

Answer:

(-1,-1 )

and (2,11)

Step-by-step explanation:

put first value to x and second value to y and see if y satisfy the equation

Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two tests?

Answers

Answer:

13.

Step-by-step explanation:

If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.

Filippo Brunelleschi purchased school supplies at Office Emporium for $97.62. He then purchased a dictionary for $22.95 and a CD for $14.78 at Books Express. For all purchases he must pay the state sales tax of 6.5% and the county tax of 0.5%. What is the total tax on his purchases?
A) $7.49
B) $8.47
C) $9.47
D) $9.89

Answers

Answer:

C

Step-by-step explanation:

97.62+22.95+14.78=135.35

135.35*.07

9.4745

Rounded to 9.47

  Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

Just about 3.6

Step-by-step explanation:

a² + b² = c²

√(a² + b²) = c

√(2² + 3²) = c

√(4 + 9) = c

√(13) = c

3.605551275 = c

c ≈ 3.6

Answer:

p = 3 as angle C and angle D are equal which means they are isoceles triangle and their base sides are equal i.e DB=CB so p. = 3

When the ? method , interest is charged only on the balance remaining in your account ?
A) annual percentage rate
B) unpaid balance
C) sales tax
D) finance charge ​

Answers

I think the answer is unpaid balance

The sum of the measures of angles for a triangle is 180°. Find the value of x and then the measures of the 3 angles

Answers

Answer:

The value of x is 50

The measures of the 3 angles are 50°, 100°, 30°

Step-by-step explanation:

Let us solve the question

∵ The sum of the measures of the angles of a triangle is 180°

∵ The measures of the 3 angles of the given Δ are x°, 2x°, (x - 20)°

→ Add them and equate the sum by 180

x° + 2x° + (x - 20)° = 180°

→ Add the like terms

∵ (x + 2x + x) + (-20) = 180

4x - 20 = 180

→ Add 20 to both sides

∵ 4x - 20 + 20 = 180 + 20

4x = 200

→ Divide both sides by 4 to find x

x = 50

The value of x is 50

To find the measures of the 3 angles substitute x by 50 in their expressions

∵ The measure of one angle is x

∴ The measure of the 1st angle is 50°

∵ The measure of the 2nd angle is 2x

∴ The measure of the 2nd angle = 2(50)

∴ The measure of the 2nd angle is 100°

∵ The measure of the 3rd angle is (x - 20)

∴ The measure of the 3rd angle = (50 - 20)

∴ The measure of the 3rd angle is 30°

The measures of the 3 angles are 50°, 100°, 30°

the real square root of -16

Answers

Answer:

ur answer is 4 hope it helps

plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

(y+1)^3

Step-by-step explanation:

power 5 is subtracted by power 2 as our rule says that powers when divided have to be subtracted. Hence the above mentioned ans comes.

Hope this helps you

Answer:

(y + 1)³

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{(y+1)^5}{(y+1)^2}[/tex] ← with a = (y + 1 ) , then

= [tex](y+1)^{(5-2)}[/tex]

= (y + 1)³

The amount of Interest a store charges a customer for buying on the installment plan is a?
A) annual percentage rate
B sales tax
C unpaid balance
D) finance charge

Answers

annual percentage rate

An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per​ hour?

Answers

ur answer is 695 km/hr hope that helps

PLEASE HELP MY MOM WILL KILL ME ANSWER WILL GIVE 60 POINTS IN NEXT QUESTION IF CORRECT PLEASE AND BRAINLIST PLEASE PLEASE PLEASE

Answers

Answer:

rip

Step-by-step explanation:

here lies the person who got killed by there mom bc she didnt figuar out what 2+2= she relly thought it was five

Answer:

9) 60 artists

10) 27 black shoes

11) Alexandra is wrong, 30% of 60 and 60% of 30 are equivalent, they both equal 18.

12) 96 dogs

13) 125 students

14) 600 students

15) 50 tulips

16) 70 cars

17) The percent that Rory uses has to be greater than 100.

There are 12 members in a family and 8of them are males find the ratio of the number of females and the total numbers of members

Answers

Answer:

1 : 3

Step-by-step explanation:

Total members = 12

No. of Males = 8

No. of Females = 12 - 8 = 4

Ratio of the number of females and the total numbers of members = 4/12 = 1/3 = 1 : 3

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