Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:
First is: c+ g = 60,005
Second is: c= 2g+5
When we replace second in first we get:
2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000
g=60.000/3 = 20,000 => g=20,000
When this result we replace in the second equation we get
c= 2 * 20,000 +5= 40,000+5 = 40,005
c= 40,005
Good luck!!!!
Answer:
csc²(x)
Step-by-step explanation:
csc(x) = 1/sin(x)
sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =
= 1 - 2×sin²(x)
=> 2×sin²(x) = 1 - cos(2x)
sin²(x) = 1/2×(1-cos(2x))
=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)
=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =
= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)
