PLEASE HELP, 30 points AND brainliest if I get an explanation :)


Find the values of the ratios (red to blue) of the perimeters and areas of the similar figures. Write the ratios as fractions in simplest form.

PLEASE HELP, 30 Points AND Brainliest If I Get An Explanation :)Find The Values Of The Ratios (red To

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:[/tex]

[tex]A\approx 84.3\:\:\:[/tex]

Thus,

The Area of the Blue Pentagon = [tex]A\approx 84.3\:\:\:[/tex]

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 [tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

[tex]A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:[/tex]

[tex]\:A\approx 27.5[/tex]

The Area of the Red Pentagon = [tex]\:A\approx 27.5[/tex]

Conclusion:

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

Thus, the ratio of the perimeter is: 35/20 = 7/4

The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the ratio of the Area is:

 [tex]\frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}[/tex]


Related Questions

I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many games do I need to win to increase my success rate to 50%?

Answers

Answer:

5 more games to be won for the 50% success rate.

Step-by-step explanation:

Total number games played = 500

Number of successful games = 49% of 500

                                                 = 500 × [tex]\frac{49}{100}[/tex]

                                                 = 245

Number of successful games for the success of 50% = 500 × [tex]\frac{50}{100}[/tex]

                                                                                        = 250

Therefore, number of game you have to win more = 250 - 245

                                                                                    = 5 games

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Answers

Answer:

3       1

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9       3

Step-by-step explanation:

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Answers

Answer:

The answer is no.2

Step-by-step explanation:


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Answers

Answer:

The answer would be 8

Step-by-step explanation:

This equals 10-2=8

Answer:

-8

Step-by-step explanation:

If you subtract 10 from 2 you get 8 and since the negative number is greater than the positive number it would be -8

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Answers

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Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

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Answers

Answer:

10p + 3

Step-by-step explanation:

4p+6p+10-7

10p + 3 is correct :)

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Answers

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Simplify the expression below:

5(2x - 4y)​

Answers

Answer:

10x-20y

Step-by-step explanation:

5 x 2x - 5 x 4y

10x - 20y

Answer:

10 • (x - 2y)

Step-by-step explanation:

Pull out like factors :

    2x - 4y  =   2 • (x - 2y)

Final Result:

 10 • (x - 2y)

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Answers

Answer: 2 1/4

Step-by-step explanation:

From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.

To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:

= 9 ÷ 4

= 2 1/4 cupcakes

Therefore, each person gets 2 1/4 cupcakes.

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Answers

Answer:

Um increase and the percentage change is 150

Step-by-step explanation:

For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B, C, Y, X are 36 degrees. Angles Z and D are 108 degrees.
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ΔYZX ≅ ΔBCD
ΔYZX ≅ ΔDCB
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Answers

Answer:

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Step-by-step explanation:

edge 2021

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Total rolled = 360 times

Two rolled = 59

Three rolled = 67

Two rolled probability = 59/360 = 0.164

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==> 0.164 + 0.186

==> 0.35

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Decimal Form:

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Mixed Number Form:

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Answers

Answer:

PEMDAS

Step-by-step explanation:

1) Parentheses

2) exponents

3) multiplication

4) division

5) addition

and finally 6) subtraction

PEMDAS
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Exponents
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Or BIDMAS which is
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Answers

Answer:

Answer: A) -8

Step-by-step explanation:

The image shows the triangle where it can be noted that two of its sides are congruent (according to the tick marks). This forms an isosceles triangle that also has two congruent angles as shown in the image below.

The other angle (2) has a measure of x+88.

The sum of the internal angles of the triangle must be 180°, thus:

x + 88 + 50 + 50 = 180

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Answers

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

art+science=75000

9600

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Using this formula

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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