Answer:
You can solve by the formula of area of trapezium. This is h(a+b)/2.
54 = 6(8+b)/2
Thus b = 10cm.
64 (containers)• 73 (gallons)= 4,672 (total amount of oil). 4,672/32 (new containers)= 146 (gallons per new container). So 146 gallons of oil were poured into each new container and the total number of gallons of oil is 4,672 gallons.
Answer:
, for all 
Step-by-step explanation:
The velocity vector is found by deriving the position vector depending on the time:

In turn, acceleration vector is found by deriving the velocity vector depending on time:

Velocity and acceleration vectors at
are:

Norms of both vectors are, respectively:

The angle between both vectors is determined by using the following characteristic of a Dot Product:

Given that cosine has a periodicity of
. There is a family of solutions with the form:
, for all 
Answer:

Step-by-step explanation:
subtract the functions as follows:
s(x) - r(x) = (2x+1) - (-x2 +3x)
expand the 2nd bracket by multiplying it by the negative 1 outside
= 2x + 1 + x2 - 3x
= x2 - x + 1
Voila!
Answer:
2 7/15
Step-by-step explanation:
37/15 or 2 7/15