4.) A parachutist jumps at night into a target that is a circle 10.5 m in diameter.
The circle is marked by flares 1.57 m apart. How many flares are there?

There are 21 flares there

Step-by-step explanation:

Firstly, we need to know how large the circle is

To calculate how large the circle is , we need to know what the circumference of the circle is

Mathematically, the circumference of a circle = pi * D

where D is the diameter of the circle and pi = 22/7

Thus, the circumference of the circle = 22/7 * 10.5m = 33m

Now, to know the number of flares, we divide the circumference of the circle by the the distance between the flares

That would be 33/1.57 = approximately 21

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

i need more details

step-by-step explanation: