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.
Answers
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
What are the order of operations
Answers
Answer:
PEMDAS
Step-by-step explanation:
1) Parentheses
2) exponents
3) multiplication
4) division
5) addition
and finally 6) subtraction
Parentheses
Exponents
Multiplication or division (do left to right)
Addition or subtraction (left to right)
Or BIDMAS which is
Brackets
Indices
Division and multiplication
Addition and subtraction
Good luck!
CAN SOMEONE PLEASE HELP ME !!
Answers
A number cube is rolled 360 times and the results are recorded as follows: 52 ones, 59 twos, 67 threes, 73 fours, 42 fives, and 67 sixes. What is the experimental probability of rolling a two or a three?
Answers
Answer:
0.35
Step-by-step explanation:
Total rolled = 360 times
Two rolled = 59
Three rolled = 67
Two rolled probability = 59/360 = 0.164
Three rolled probability = 67/360 = 0.186
The experimental probability of rolling a two or a three
==> Two rolled probability + Three rolled probability
==> 0.164 + 0.186
==> 0.35
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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:
Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
2 + (-10) =
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Answer:
The answer would be 8
Step-by-step explanation:
This equals 10-2=8
Answer:
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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
Sin (2x-17)° =(x-4)°
Answers
Answer:
2x-x-17=-4
2x-x=-4+17
x=-4+17
x=13
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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What value of x makes the equation 4x + 11 = -13 true
Answers
Answer:
4x − 3= −12x + 13
4x + 12x = 13 + 3
16x = 16
x = 1
Step-by-step explanation:I hope that will help you.
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Answers
Answer:
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Decimal Form:
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Mixed Number Form:
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Simplify the expression below:
5(2x - 4y)
Answers
Answer:
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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)
4.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
9,600/75,000, 16/125
Step-by-step explanation:
art+science=75000
9600
75000 =16/125
The part of all the books that are science books is 0.128 or 16/125.
Using this formula
Science books=Science books(Art books+Science books)
Where:
Science books=9600
Art books=65400
Let plug in the formula
Science books=9600/(65400+9600)
Science books=9600/75000
Science books=0.128 or 16/125
Inconclusion the part of all the books that are science books is 0.128 or 16/125.
Learn more about part of books that are science here:https://brainly.com/question/8513862
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Answers
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Answers
Answer:
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Step-by-step explanation:
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ΔYZX ≅ ΔBCD
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Answers
Answer:
the answer is C
Step-by-step explanation:
edge 2021
Answer:
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Step-by-step explanation:
2. A pair of Jordans sold at retail for $180 and now sell for $330 after market.
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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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:
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Step-by-step explanation:
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10p + 3 is correct :)
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Answers
Answer:
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
10x+2y
Step-by-step explanation:
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Answer:
Step-by-step explanation:
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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:
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Step-by-step explanation:
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Answers
Answer:
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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.
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Answers
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Answers
Answer:
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– = ——
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Step-by-step explanation:
I simplified it as well.
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Answers
Answer:
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