Answer:
V ≈ 68.63 cm³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V =
πr³
the volume of a hemisphere is half the volume of a sphere, so
V =
×
πr³ =
πr³ , then
V =
π × 3.2³
=
π × 32.768
≈ 68.63 cm³ ( to 2 dec. places )
Answer:
117
Step-by-step explanation:
The angles line up~ P is the same as angel I.
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
rational numbers are always negative when u add irrational numbersStep-by-step explanation:
Answer:
The probability is 1/9
Step-by-step explanation:
1 - 8/9 = 1/9