Answer:
around 15
Step-by-step explanation:
if you divide the volume of the big 10 dollar cylinder popcorn by the volume of the 0.99 cone popcorn which is 785/ 52.36 its 14.9923605806
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
B
Step-by-step explanation:
280 + 5(–5) + (–42) + 2(75) + (–200)
280 - 25 - 42 + 150 - 200
280 - 67 + 150 - 200
280 - 67 - 50
213 - 50
= $163
The answer is <span>4.84166667</span>