Answer:
Step 1 : Plug values into the quadratic formula
x = -(-5) +/- √ (-5)^2 - (4)(2)(-3) / (2)(2)
Step 2 : Solve
x = 5 +/- √ 25 + 24 / 4
x = 5 +/- √ 49 / 4
x = 5 +/- 7 / 4
x1 = 5 - 7 / 4 AND x2 = 5 + 7 /4
x1 = -1/2 OR - 0.5
x2 = 3
Hope this helps!!
Answer:
x - 1
Step-by-step explanation:
To get one factor of the cubic expression x³+3x²+x-5 according to the remainder theorem we can say that
x³+3x²+x-5 = 0
Then we apply Ruffini's Rule and obtain
x³+3x²+x-5 = (x-1)(x²+4x+5)
where x = 1 is the only real root of the polynomial expression.
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:
8
Step-by-step explanation:
sqrt4^2+sqrt4^2=4+4 the square root and power of 2 cancel out
Answer:
C = 288 kg
Step-by-step explanation:
Given:
C = 72m^2/4
where,
C = approximate number of calories
m = animal mass in kilograms.
Find C when m = 16
C = 72m^2/4
= 72 * (16)^2/4
= 72 * (16)^1/2
= 72 * √16
= 72 * 4
= 288
C = 288 kg