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:
122 times
Step-by-step explanation:
20+102=122
(what is this question lol)
Answer: its −2
Step-by-step explanation:
3*(5*x+2)-(2*(3*x-6))=0
Step by step solution :
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Equation at the end of step
2
:
(3 • (5x + 2)) - 6 • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
3 • (5x + 2) - 6 • (x - 2) = 0
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
9x + 18 = 9 • (x + 2)
Equation at the end of step
5
:
9 • (x + 2) = 0
STEP
6
:
Equations which are never true
6.1 Solve : 9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
One solution was found :
x = -2
2ˣ = 2³
Since 2ˣ is EQUAL to 2³ and since 2 is equal to 2, then the solution is a must that the 2 exponents are equal.
Then x = 3
Answer:
h = 452.5 ft
Step-by-step explanation:
Angle of elevation from P to top of the pole = 65°
Horizontal distance between the pole and point P = 21 ft
By Applying tan rule in the given triangle ABP,
tan(∠APB) = 
tan(65°) = 
h = 21[tan(65°)]
h = 452.491
h ≈ 452.5 ft
Therefore, height of the pole is 452.5 ft.
