ANSWER

EXPLANATION
If the two events are disjoint, then they are mutually exclusive.
This means that their intersection is zero.
Therefore

This implies that,


The probability that the two events will occur together is 0, which means an impossibility.
Answer:
Area - 6 unit^2 Perimeter - 10 units
Step-by-step explanation:
The shaded figure is 3 units long and 2 units high.
L = 3 W = 2
A = LW
A = 3 x 2 = 6 unit^2
Perimeter = 2L + 2W
P = 2(3) + 2(2)
P = 6 + 4 = 10 units
Answer:
8sm, 16sm, 10sm
Step-by-step explanation:
the first side of the triangle: x
the other side of the triangle: 2x
the third side of the triangle: x+2
the perimeter of the triangle: x+2x+x+2=34
4x=32
x=8
2*8=16
8+2=10
Answer:
V = 180 ft^3
Step-by-step explanation:
The volume of a cone is found by
V = 1/3 pi r^2 h where r is the radius and h is the height
The diameter is 12 so the radius is 1/2 the diameter or 1/2(12) = 6
The height is 5 and we are using 3 for pi
V = 1/3 (3) *6^2 *5
V = 180 ft^3
Answer:
A choice
Step-by-step explanation:
sec is defined as 1/cos.
cos is again defined as adjacent to hypotenuse.
We know that adjacent is x and hypotenuse is r.
Therefore:- cos is x/r
Now sec is 1/cos = 1/(x/r)
1 ÷ x/r is 1•r/x
Thus:-
sec is r/x