Well, lets add 0.125 to 4.1.
We would get 4.225.
Finally we can check.
4.225-0.125= 4.1
How did we get it? What i did is I did the opposite. Instead of subtracting 0.125 I added it.
N= 4.225
Answer:
A = 48
Step-by-step explanation:
In this equation, we can factor out the expression 
. If we do so, the expression becomes:
We can simplify to get:
and get:
Therefore, A = 48
Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
To change a degree measure to a radian measure, we multiply by (π/180). So 360° becomes 2π radians, and 240° becomes 4π/3.
Answer:
(a) There are two complex roots
Step-by-step explanation:
The discriminant of a quadratic function describes the nature of its roots:
- <u>negative</u>: two complex roots
- <u>zero</u>: one real root (multiplicity 2)
- <u>positive</u>: two distinct real roots.
__
Your discriminant of -8 is <em>negative</em>, so it indicates ...
There are two complex roots
_____
<em>Additional comment</em>
We generally study polynomials with <em>real coefficients</em>. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.
