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
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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
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years
In all geometry problems, drawing a diagram is most helpful.
The half-side lengths are 5 feet and 12 feet.
By the Pythagorean Theorem, the hypothenuse, or side length of the rhombus is therefore
sqrt(5^2+12^2)=sqrt(169)=sqrt(13^2)
= 13 feet.
See diagram below.
Answer:
25% is the answer.,....
money Alicia save= 28-21= 7
percentage Alicia saves with the sale= 7/28*100
= 25%
Answer:
Step-by-step explanation:
Substitute 4x for Y: 4x = -2x -6
Now add 2x to both sides
(due to reciprocal, the opposite of -2x is positive 2x): 4x + 2x = -2x +2x -6
Add common like terms
(4x + 2x = 6x and -2x + 2x cancel out leaving -6 alone): 6x = 6
Now get X alone by dividing the 6 to both sides: 6x/6 = -6/6
Since you're dividing a negative and a positive, the outcome will be a negative so the answer is: X= -6
Hope this helps :)
