Answer:
1 cup of water will fill = 
of the plastic container.
Step-by-step explanation:
Given :
of a cup of water fills 
of a plastic container.
To find number of containers that can be filled with 1 cup of water, we will use unitary method.
if of a cup of water fills of a plastic container.
Then 1 cup of water will fill = 
of a container.
Dividing fractions.
Replacing division with multiplication by taking reciprocal of the divisor.
Multiplying the numerators and denominators.
∴ 1 cup of water will fill = of the plastic container.
Answer:
A, C
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
the ∠A is adjacent (adj) to AB and opposite (Opp) of BC and AB is the hypotenuse (Hyp) of the triangle
which one of the above trig functions fits that?
sin(Ф) = BC / AC is sin(Ф)= Opp / Hyp , so choice A) works
cos(Ф) = BC / AC is not cos(Ф) = Opp / Hyp so choice B) does not work
cos(Ф) = BA / AC is cos(Ф) = Adj / Hyp so choice C) works
AC / BC is just a ratio it's not the angle , so D) doesn't work
Answer:
Formula for the volume of a rectangular prism:
V = length x width x height
To solve, substitute the dimensions given in the problem and multiply.
The triangles are equal because they follow AAS congruency fact.
