Set it up in a proportion.
8 (oil)/5 (salad dressing) = x/7
cross multiply to get 11.2
It is to be noted that for this item, we more concern of the pounds of flour. The number of batches is calculated by dividing the total mass of flour used by the amount per batch. That is,
n = 86 lbs / (1 + 5/8 lbs/batch)
n = 52.92 batch
Thus, the chef makes approximately 53 batches of pasta.
Using the Pythagorean Theorem, we have x^2+(x+2)^2=51^2, and
x^2+ x^2+4x+4=2x^2+4x+4=51^2. After that, we subtract 51^2 from both sides to get 2x^2+4x-2597. Using the quadratic formula (x=(-b+-sqrt(b^2-4ac))/2a in ax^2+bx+c), we get around 35 for x. We did + instead of minus after b due to that it can't be negative! x+2=37, so you save 35+37-51=around 21 feet
The angle T1PT2 is 65-37=28 degree
use law of sine: sin37/PT2=sin28/7370, PT2=7370*sin37/sin28
Use a calcuator, I got the answer 9448
B. sin65=PA/PT2, PA=PT2*sin65=9448*sin65=8563
