Answer:
A
Step-by-step explanation:
Distance covered by Amy in one hour = 1/3 x 15 miles = 5 miles
Distance covered by John in one hour = 1/5 x 30 miles = 6miles
As a result, John would jog 1 mile (6-5) farther than Amy, the answer is A
The second equation is y=5x+2
Answer: 524
Step-by-step explanation: The opposite number is the negative or positive number of the number given.
Answer:
9
Step-by-step explanation:
9
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
