Answer:
Radius of park r = 282.04 ft (Approx)
Step-by-step explanation:
Given:
Number of people = 50,000
Each person needs area = 5 ft²
Park's is in shape of circle
Find:
Radius of park r
Computation:
Total area required = 50,000 x 5
Total area required = 250,000 ft²
Area of circular park = Total area required
πr² = 250,000
(22/7)r² = 250,000
r² = 79545.4545
r = 282.04 ft
Radius of park r = 282.04 ft (Approx)
The answer:
the main formula of the circle's equation is
(x-a)²+ (y-b)² = R²
where C(a, b) is the center of the circle
R is the radius
if a point A(x', y') passes through the circle, so the equation of the circle can be written as
(x'-a)²+ (y'-b)² = R², and that is a main formula.
<span>Circle O, with center (x, y), passes through the points A(0, 0), B(–3, 0), and C(1, 2), so we have exactly three equation:
</span>
(0-x)² + (0-y)² = R², circle O passes through A
x²+y²= R²
(-3 -x)² + (0-y)² = R², circle O passes through B
(-3 -x)² + (y)² = R²
(1-x)² + (2-y)² = R², circle O passes through A
(1-x)² + (2-y)² = R²
and we know that R= OA = OC= OB,
OA=R= sqrt( (0-x)² + (0-y)² ) = OB = sqrt((-3 -x)² + (0-y)²), this implies
x²+y² = (-3 -x)² + (0-y)² , it implies x² = 9+ x² + 6x , and then -9/6=x, x= -3/2
and when OA = OC
x²+y² =(1-x)² + (2-y)² so, x²+y² =1+x²-2x +4+y²-4y, therefore -5= -2x -4y
-5= -2x -4y, when x = -3 /2 we obtain y = 2
the center is C(-3/2, 2)
Answer:
2 Kg and 2.5Kg.
Step-by-step explanation:
Total number of parts = 4 + 5 = 9.
So the required quantities are 4*4.5 / 9 and 5*4.5/9
= 2 and 2.5.
Both sets contain 0 because it is neither negative or positive.
Answer: E
I got that x equaled -5? Sorry it seems like none of those are your answer choices.