Answer:
Percent Error:: 12/36 = 33 1/3 %
Step-by-step explanation:
The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.
pop/500 = 5/7
pop = 500*5/7 ≈ 357
357 of the next 500 songs downloaded are expected to be pop songs.
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:
24 purple jelly beans
Step-by-step explanation:
We are told in the question that;
Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans.
The results in a ratio
2:3
Where 2 represented red jelly beans
3 represented purple jelly beans
Total number of jelly beans = 40 jelly beans.
The number of purple jelly beans that we have =
3/( 2 + 3) × 40
= 3/5 × 40
= 3 × 8
= 24.
Hence, there are 24 purple jelly beans in the bag.
Answer: Should be -5
Step-by-step explanation:
