Answer:
1/27
Step-by-step explanation:
To find the probability of a defective jelly bean
P(defective) = number defective/ total
=2/54
= 1/27
The surface area would be 4021.24 since
SA = 2πr²h
SA= π(8²)(20)
= 4021.23859659 round up to 4021.24
Polar coordinates : r= - 5, α= - 180⁰.
Rectangular coordinates :
x=r*cosα = (-5)*cos (-180⁰)=(-5)*(-1)=5
y=r*sinα = (-5)*sin(-180⁰)=(-5)*0=0
So, <span>(-5, -180°) (polar coordinates) is the same as (5,0) (rectangular coordinates).</span>
Answer:
<h2>50 ft</h2>
Step-by-step explanation:
Use the Pythagorean theorem:

We have

Substitute:

Answer: The factor form of the function F(x) is
, where
gives two complex roots.
Explanation:
The given function is,

According to the rational root theorem 1 and -1 are the possible roots of each polynomial.
Put x=-1

Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x+1).
The last row of the synthetic division shows the coefficient of remaining polynomial.

At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x-2).

Therefore the roots of F(x) are,


Where
factors with real root and
are factors with complex roots.