Answer:
theoretical probability 1/2 or 50%
experimental probability 20/50 or 40%
Answer:
$21,900
Step-by-step explanation:
1,825 x 12 = 21,900
All you have to do is multiply
You need to give us the answers..
Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
Answer:
Step-by-step explanation:
Statement Reason:
1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
3) Segment DE is half the length of segment AC By substitution
4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula
5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...
