Answer:
3^3 * 7^r has (3 + 1)*(r + 1) = 16 factors.
So r must be 3.
The first is 18 cups
The third is 24 fl oz
The fifth is 11 cups
The second is 8 pints
The fourth is 36 quarts
The sixth is 24
You're welcome
I am pretty sure it's a trick question because none of them are irrational
First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).