Two pentagons are similar. The area of one of the pentagons is 9 times
that of the other. Determine the ratios of the lengths of the corresponding
sides and the perimeters of the pentagons.​

Answers

Answer 1

Answer:

The ratios of the lengths of the corresponding  sides of the two pentagons is 3:1

The ratios of the perimeters of the two pentagons is 3:1

Step-by-step explanation:

Let the first pentagon be X and the second pentagon be Y.

Ratio of area of the two pentagons is [tex]\frac{A1}{A2} = \frac{9}{1}[/tex]

Ratio of sides of the pentagon is equal to

[tex]\frac{S1}{S2} = \sqrt{\frac{A1}{A2} }\\=\sqrt{\frac{9}{1} } \\=\frac{3}{1}[/tex]

Ratio of perimeters is equal to ration of sides

Hence,

[tex]\frac{P1}{P2} = \frac{3}{1}[/tex]


Related Questions

Why did my mom leave my dad.

Answers

Answer:

uh im sorry

Step-by-step explanation:

uh

Answer:

because she found me

Step-by-step explanation:

quite simple.

HELPPP!!!! ASAPPPP!!!


1. TRUE
2. FALSE

Answers

Answer:

False You just multiply the numbers by 5/3 I am pretty sure.

Hope it helps Have an wonderful day! :)

pls help meeeeeeeeeeeeee

Answers

Answer:

the right answer is:

(A) [tex]2+\frac{1}{2}a[/tex]

Step-by-step explanation:

You take the equations that the exercise give you:

x + y = 4x - y = a

Now you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:

x - y = a-y = a - x

   3. y =  x - a

And now, you'll replace this third equation in the equation you didn't take (the first in this case).

x + y = 4x + (x - a) = 4x + x - a = 4

Add the x variables:

2x - a = 42x = 4 + ax = (4 + a) / 2

That's the answer of the exercise, but you can represent this in this form:

x = (4 + a) / 2    ↔  [tex]x = \frac{4}{2} + \frac{1}{2} a[/tex]x = (4 + a) / 2    ↔  [tex]x = 2+ \frac{1}{2} a[/tex]

By this reason, the right answer is [tex]x = 2+ \frac{1}{2} a[/tex].

To prepare for a bake-off, Rebecca used 0.83 kilogram of flour each day for 3 weeks. How many grams did Rebecca use in those 3 weeks?

Answers

Answer:

17,430g

Step-by-step explanation:

convert kilogram to gram

1kg = 100g

0.83 x 1000 = 830g

there are 7 days in a week

7 x 3 = 21 days

total grams used in 3 weeks = 21 x 830 = 17,430g

factorise fully the following
3 x + 6

Answers

Answer:

[tex]3x + 6 = 0 \\ 3x = 0 - 6 \\ 3x = - 6 \\ x = \frac{ - 6}{3} \\ x = - 2[/tex]

Answer: 3(x+2)

Step-by-step explanation:

ask yourself what numbers can I take out of 3 and 6, you can divide by 3 :)

3x / 3

1x

x

6 / 3

2

3(x+2)

Kate wants to run at least 8 miles north she plans to run 1/3 mile each day how many days will it take kate to run

Answers

Answer:

24 days

Step-by-step explanation:

8 divided by 1/3 is 24

What are the missing numbers in the data set? Assume the numbers are in order

24, 28, 32, 39___ Range=18

Answers

Answer:

This answer is 42

Step-by-step explanation:

42 - 24 = 18

I need help pls



Three squared is??

Answers

Answer:

9

Step-by-step explanation:

3 times 3

the answer is 9, 3 x 3 = 9

Ginas pet pot bellied pigs is on a diet. He can have no more than 18 ounces of pig food per day. How many scoops of pig food can Gina feed the pig without going over 18 ounces?

PLS I NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

Need to know how many ounces in a scoop of pig food. Is there a ratio or formula associated? Lmk.

Where is the mistake in the following problem?

1) 3/12

2)9/12

3)3/4

4)1/3

Answers

1) 3/12

Because 1/3 would have changed to 4/12,
1x4= 4
3x4=12
You need to multiply them by the same number and 1) was multiplied by three on the numerator and four on the denominator.

Flip a fair coin 5 times. Let random variable X = "number of heads."What is P(X = 1)?

Answers

Answer:

The probability is 1/32

Step-by-step explanation:

What the question asks here is that in a throw of a coin 5 times, what is the probability that we have the head being revealed once in the 5 throws

for a fair coin, we can only get a head or a tail

So the probability of getting a head equals that of getting a tail

Since total probability is 1; then the probability of each will be 1/2

So, we can now have the probability as follows;

1 head (1/2) and 4 tails (1/2 * 1/2 * 1/2 * 1/2)

1/2 * 1/2 * 1/2 * 1/2 * 1/2 = (1/2)^5 = 1/32

Find the lowest common denominator for the following fractions.

Answers

Your answer is 6 because 6 is the smallest number that is divisible by both 2 and 3

Answer:

The answer is 6. It is the lowest number that 2 and 3 can go into without leaving a remainder.

27, 15, 10, 19, 24, 21, 28, 16, Find the mean absolute deviation

Answers

Im pretty sure the answer is 20

find the mistake in the problem ​

Answers

Answer:

+13 was supposed to be -13

Step-by-step explanation:

Dang you write neat

Nick is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from nick's mom to nick is 73, how far off the ground is nick?

Answers

Answer:

124.3 ft

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent

= tan θ = Opposite/Adjacent

θ = Angle of Elevation = 73°

Adjacent = 38 ft

Opposite = x

Hence

tan 73° = x/38 ft

Cross Multiply

x = tan 73° × 38 ft

x = 124.2923995 ft

Approximately = 124.3 ft

Therefore, Nick is 124.3 ft from the ground.

Brooklyn is preheating her oven before using it to bake. Brooklyn wants to predict the
final temperature after 2 minutes. She wrote the equation y = 77 + 50x, where y
represents the final temperature in degrees Fahrenheit. What could the number 77 in
Brooklyn's equation represent?
The oven's temperature after o minutes.
The change in minutes for every change of one degree Fahrenheit.
The change in degrees Fahrenheit for every change of one minute.
0
The time when the oven's temperature is 0°.
Submit Answer

Answers

Answer:

77 represents the starting temperature; the temperature after 2 minutes will be 177 degrees

Step-by-step explanation:

77 in Brooklyn's equation represent the oven's temperature after o minutes.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

Brooklyn wants to predict the final temperature after 2 minutes.

the equation y = 77 + 50x,

y represents the final temperature in degrees Fahrenheit

We need to find what the number 77 represents in the equation.

77 represents the initial temperature of the oven.

50x represents the change in the temperature of the oven.

Hence,  77 in Brooklyn's equation represent the oven's temperature after o minutes.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

can Someone help me ​

Answers

Statements are (underlined) and reasons are (bolded).

It is given that (<W) and (<Y) are both right angles, therefore, they must be congruent since they have the same angle measures.

<W = <Y definition of right angles

Moreover, it is given that (VX) and (ZX) are congruent.

VX = ZX given

Finally, it is given that (x) is the midpoint of (WY). Therefore, (WX) is congruent to (XY), and therefore, they are congruent.

WX = XY definition of midpoint

Thus, triangle (YWX) is congruent to (ZYX) by the following rule, side-angle-side, also known as (SAS).

YWX = ZYX SAS

When two sides and an angle are congruent between two or more triangles, then those triangles must be congruent.

Which table shows positive correlation?​

Answers

Answer:

heyyyy octo... i missed u a lot

Step-by-step explanation:

this is my mom's phone and yeah my tab broke ... Sorry couldnt talk... that's really hard for me...

Answer:

B. The second graph ! :)

help im doing a test in 6th grade- I LITERALLY FORGOT WHAT THE MEDIAN IS

Answers

Answer:

iit's the middle of numbers to find the median place the number in value order

Answer:

15

Step-by-step explanation:

You add up all the numbers then divide  it by how ever many numbers there are for example 15+5+5 is 25 divided by 3 is 8.333333

How many portraits would Jim paint in 9 hours if he paints 2 portraits every 4 minutes?

Answers

Answer:

270 portraits in 9 hours

Step-by-step explanation:

2 every 4 minutes

60/4 = 15 (4 minute  intervals in one hour)

15 x 2 = 30 portraits per hour

9 x 30 = 270

2 protraits per 4 minRate per protraits=2min

Total 2 mins In 1h

60/2=30

Total 2mins In 9h

30(9)270

Total protraits=270

Solve the equation sin^2x= 3 cos^2x.

The value of x that satisfies the equation if x lies in the second quadrant is what degrees?

The value of x that satisfies the equation if x lies in the third quadrant is what degrees? ​

Answers

Step-by-step explanation:

sin^2(x)= 3 cos^2(x)

Subtract sin^2(x) on both sides

0=3cos^2(x)-sin^2(x)

By Pythagorean Identity sin^2(x)+cos^2(x)=1, we can replace cos^2(x) with 1-sin^2(x)

0=3(1-sin^2(x))-sin^2(x)

Distribute

0=3-3sin^2(x)-sin^2(x)

Combine like terms

0=3-4sin^2(x)

Add 4sin^2(x) on both sides

4sin^2(x)=3

Divide both sides by 4

sin^2(x)=3/4

Take the square root of both sides

sin(x)=+ or - sqrt(3/4)

sin(x)=+ or - sqrt(3)/sqrt(4)

sin(x)=+ or - sqrt(3)/2

This happens on the unit circle at

60 degrees

120 degrees

240 degrees

300 degrees

If we go around and around again forwards or backwards, we get the infinitely many other solutions including the one's already stated in the following solution sets

(60 +360n) degrees

(120 +360n)degrees

(240 +360n)degrees

(300 +360n)degrees

where n is an integer

x is 120 degrees or (120+360n) degrees in the second quadrant. I didn't know if you were just looking for solutions in the first nonnegative cycle of the unit circle or not.

240 degree one or the (240+360n) degrees terminates in the third.

3 daily attendance at the water park: 346, 250, 433, 369, 422,298
Find the median, Q1, Q3,and IQR

Answers

Answer:

Median --> 357.5

Q1 --> 298

Q3 --> 422

IQR > 124

Step-by-step explanation:

3 daily attendance at the water park: 346, 250, 433, 369, 422,298

Find the median, Q1, Q3,and IQR

Step 1

We rearrange the given data set

250, 298, 346, 369, 422, 433

a) The Median

The formula to find the Median

= 1/2( n + 1)th term

Where n = Number of terms = 6

Median = 1/2(6 + 1)th

= 1/2(7)th term

= 3.5th term

The 3.5th term = The number between the 3rd and 4th term

3rd term = 346

4th term = 369

Hence,Median = 346 + 369/2

= 357.5

2) Q1 = First Quartile

= 1/4(n + 1)the

= 1/4( n + 1)th term

Where n = Number of terms = 6

Median = 1/4(6 + 1)th

= 1/4(7)th term

= 1.75th term

The 1.75th term = 2nd term

= 298

Q1 = 298

3) 3/4( n + 1)th term

Where n = Number of terms = 6

Median = 3/4(6 + 1)th

= 3/4(7)th term = 21/4th term

= 5.25th term

The 5.25th term = 6th term

Q3 = 422

4) Interquartile Range = Q3 - Q1

= 422 - 398

= 124

helppppppppppppppppppppp

Answers

Answer:

C. 2, 1

Step-by-step explanation:

Please please help me this will go in my grade book and I'm failing rn pls pls pls and thank you​

Answers

Answer:

-6

Step-by-step explanation:

Ok so if x=2

you have to do -3*2

and thats -6

hope this helped

good luck

Please read through this carefully. I’d love to help, but I want you to understand why this is the answer and not just copy and paste.

Answer:

1. -6

2. 20

Step-by-step explanation:

1. Simply replace x with 2, since x=2. 2x -3 is the same as -3+-3, which is -6.

2. Simply replace x with 2, since x=2. 2x5 is the same as 5+5, which is 10. 10+10=20, therefore, the answer is 20.

HELP PLEASE!! thanks so smuch

Answers

The linear term :):):):

What is the distance between 73 and -51 on a number line?

Answers

Answer:

Distance is 124

Step-by-step explanation:

Distance:

73 - (-51)

73 + 51

124

Answer: 124

Step-by-step explanation:

| 73 - (-53) |

124

The amount of money, A, accrued at the end of n years when a certain amount, P, is invested at a compound annual rate, r, is given by A= P(1+r) If a person invests $310 in an account that pays 8% interest compounded annually, find the balance after 5 years.

Answers

Answer:

A = $455.49

Step-by-step explanation:

A= P(1+r) ^t

P = $310

R = 8% or 0.08

T = 5

Put variables in the above equations

A = 310 (1+0.08)^5

A= 310(1.08) ^ 5

A = $455.49

Hijsjdjdjdjxjdddidifjd

Any helpers? Will give brainliest!

Answers

Answer: no

Step-by-step explanation: it is not in the colored area

sandy had five -dollar bill,2 one dollar bills,5 quarters ,and 6 nickels .she gave $1.30 to the vacation Bible school offering .how much did she have left?​

Answers

$7.25 is the answer. She has $8.55 - $1.30 = 7.2(

For what values of x is the trinomial 2x2−x+55 equal to the square of binomial x+5?

Answers

The value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6

Given the equation 2x^2−x+55, if the expression is equal to the square of binomial x + 5, then;

2x^2−x+55 = (x+5)^2

2x^2−x+55 = x^2 + 10x + 25

Collect the like terms;

2x^2-x^2-x-10x+55-25 = 0

x^2 - 11x + 30 = 0

Factorize the result

x^2 - 6x - 5x + 30 =0

x(x-6)-5(x-6) = 0

x-5 = 0 and x - 6  = 0

x = 5 and 6

Hence the value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6

Learn more here: https://brainly.com/question/1214333

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