1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
2 years ago
12

The plane is tiled by congruent squares of side length $a$ and congruent pentagons of side lengths $a$ and $\frac{a\sqrt{2}}{2}$

, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58
Mathematics
1 answer:
umka2103 [35]2 years ago
3 0

The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

<h3>How to determine the percentage?</h3>

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

<u>Note:</u> With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 ≈ 56%.

Read more on area of square here: brainly.com/question/8902873

#SPJ1

Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

You might be interested in
How do you solve this?
Law Incorporation [45]
Find the soluiton

2x+2y=16
3x-y=4

x+y=8
<u>3x-y=4+</u>
4x=12
x=3
3(3)-y=4
9-y=4
y=5
(3,5)
test them to see if get true statment
obviously the first equatons of 1,2,4 work
1 doesn't work
2, works
4. doesn't work

2 is the same as the first except both euations are just doubled

answer is 2
6 0
3 years ago
Perform the indicated operation . Round the result to the nearest tenth and then to the nearest hundredth . Separate your answer
aleksandr82 [10.1K]

The answers are 26.9, 26.06

3 0
3 years ago
The Student Athletes Club has a
devlian [24]

Answer:

Step-by-step explanation:

3 0
3 years ago
What is the area of this figure? I give brainliest and thanks :)
Alex777 [14]

Answer:

591 square cm

Step-by-step explanation:

25 times 23 =575

4 times 4 =16

575 plus 16=591

6 0
3 years ago
Read 2 more answers
Identify the factors of 6ab − 8a + 21b − 28. (5 points)
cupoosta [38]
Rearrange to

6ab+21b-8a-28 now factor 1st and 2nd pair of terms...

3b(2a+7)-4(2a+7)

(3b-4)(2a+7)

So it is the third one down...
4 0
2 years ago
Read 2 more answers
Other questions:
  • Which relation represents a function?
    14·2 answers
  • A water bottle holds Fraction 5 over 8 liter of water when it is Fraction 3 over 4 full. Which statement best describes the quot
    11·1 answer
  • Which expressionis equal to (-7x+5.1y)-(-9x+5.3y)
    14·1 answer
  • What is 4 out of 3 rounded to 1 decimal place
    7·1 answer
  • Which statements about the value of the digits in the number 6,666,666 are true?
    7·1 answer
  • First to answer correctly gets brainlesit! and 10 pts:)
    13·1 answer
  • Can u y’all help plz... thanks lol if it is right I will mark brainliest
    5·1 answer
  • Find the Area of the Shaded Region.
    15·1 answer
  • A line has a slope of 5 and passes through the point (-1,2).
    13·1 answer
  • What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!