so all those quadratics have their parent y = x², which has the graph of a "bowl".
and depending on the coefficient, the bowl is wider or not.
the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.
well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².
Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
1/6 of an hour is 10 minutes. For a precise answer, convert it to seconds. You will end up with 600 seconds. Divide the area of the sheet by 600 seconds.
1260/600 ~ 2
With this result, Samantha glued approximately 2 stickers every second.
If he won 40, then he lost 112-40 or 72 games.
Ratio= lost/win
Ratio=72/40
72/40
Hope this helps :)
