Step-by-step explanation:
2.5 hours = 150 min
1/3 of 150 is 50 min, which means she spent 50 min on her history project = 100 min leftover
3/5 of 100 min is 60 min (1 hour) = 40 min leftover
She spent 40 min writing her essay
hope this helps <3
Answer:
(x - 8)(x + 4)
(x + 4)(x - 8)
Step-by-step explanation:
(x - 16)(x + 2)
= x2 + 2x - 16x - 32
= x2 - 14x - 32
(x + 2)(x - 16)
= x2 - 16x + 2x - 32
= x2 - 14x - 32
(x - 8)(x + 4)
x - 8)(x + 4) = x2 + 4x - 8x - 32
x - 8)(x + 4) = x2 + 4x - 8x - 32 = x2 - 4x - 32
( 30 + x)(x - 4)
= 30x - 120 + x2 - 4x
= x2 + 26x - 120
(x + 4)(x - 8)
(x + 4)(x - 8) = x2 - 8x + 4x - 32
(x + 4)(x - 8) = x2 - 8x + 4x - 32 = x2 - 4x - 32
(x - 4)(x + 8)
= x2 + 8x - 4x - 32
= x2 + 4x - 32
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
36 + 4x.
separate ike terms then use pemdas