I hope this is correct. I solved it using the addition elimination method. The answer is s= 2, and r= 5. I hope that was helpful.
1 + sec^2(x)sin^2(x) = sec^2(x)
This becomes
1+tan^2(x) = sec^2(x) which is an identity
You could
1 + sin^2(x)/cos^2(x) = sec^2(x)
then
cos^2(x) + sin^2(x) = cos^2(x)sec^2(x)
1 = 1
To answer this you need to find the LCD (least common denominator) 2/3times4=8/12 and 3/4times3=9/12 and 9+8=17 then 17-12=5 so she bought 1 5/12 yards of ribbon
Question 1. I am assuming you meant 9/16, and in that case, the answer would be 0.5625. 9-16 is -7.
Question 2. 35.7% in decimal form is relative to what the percent is of. 35.7% of a million is different than 35.7% of one.
Question 3. Once again, this is relative as to what. Percentage of the weight of an elephant? It is important to specify in these types of equations.