9514 1404 393
Answer:
3 3/4
Step-by-step explanation:
Mandy needs 6 times 5/8 yards, or ...
6(5/8) = 30/8 = 3 6/8/ = 3 3/4 . . . yards
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
The inequality for Part A: −6 °F < −2 °F
Step by step-
The reason for that us because the -2 is closer to zero on the number line
