Answer:
sin( -∅ )
- 1 / csc ( ∅ )
1 / csc ( -∅ )
Step-by-step explanation:
Since sin(x) is and odd function (a function where f(-a) = f(a) ).
-sin( ∅ ) = sin( -∅ )
On the other hand, we know that sin( ∅ ) = 1 / csc ( ∅ )
Another odd function, so the same as before applies.
-sin( ∅ ) = -1 / csc ( ∅ )
-sin( ∅ ) = 1 / csc ( -∅ )
4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
Prob of tails times prob of rolling more than 3
0.5 × 0.5 = 0.25
25%
