Answer:
113.04 (6 + g) / 32
Step-by-step explanation:
We know that the total area of a cone is:
A = Pi * r * (r + g), let g be the generatrix.
The radius is half the diameter, therefore, 12/2 = 6 feet.
Replacing:
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.
To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:
113.04 (6 + g) / 32
The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.
Answer:
the missing blank for forks is 0 and the missing blank for spoons is 20
Step-by-step explanation:
Answer:
a) 62
b) 31/45
Step-by-step explanation:
a) The table tells you there are 42 males, and 20 more females that study biology.
42 +20 = 62 . . . are male or study biology or both
__
b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...
62/90 = 31/45 = P(male or biology)
I assume you know about the dot product, and that for two vectors 
and 
, the angle between them 
satisfies
Then the vectors are parallel if the angle between them is 0 or 180 degrees (0 or pi radians), which would make 
or 
, respectively.
Part A)
Then the angle between 
is such that
so these vectors are parallel ("antiparallel", more specifically, which means they are parallel but point in opposite directions).
Part B) involves the same computations:
has the same components but differing by sign and order, as 
; its magnitude remains the same, though:
which is neither 0 nor pi, which means these vectors are not parallel.
