Answer:
y = 4 sin(t/2 + 4π/3) − 2
Step-by-step explanation:
General form:
y = a sin(2π/T t)
Given a = 4 and T = 4π:
y = 4 sin(2π/(4π) t)
y = 4 sin(t/2)
Add horizontal shift of -4π/3 and vertical shift of -2:
y = 4 sin(t/2 − (-4π/3)) − 2
y = 4 sin(t/2 + 4π/3) − 2
Answer:
x=43°
Step-by-step explanation:
The angles are adjacent and create a straight line so their sum is 180°.
(x+6)°+(3x+2)°=180°
x°+6°+3x°+2°=180°
4x°+8°=180°
4x°=172°
x=43°
Answer:
B. Miami is 93 degrees warmer than Anchorage.
Step-by-step explanation:
Miami-Anchorage is equal to 65-(-28) which is equal to 65+28 which is equal to 93. Thus, Miami is warmer by 93 degrees.
Answer: Hong drove the truck for 294 miles.
Step-by-step explanation:
Let m represent the number of miles for which he drove the truck.
There was a base fee of $20.95, and there was an additional charge of 90 cents for each mile driven. It means that the expression for the cost of driving the truck for m miles in a day is
20.95 + 0.9m
Hong had to pay $285.55 when he returned the truck. It means that
20.95 + 0.9m = 285.55
0.9m = 285.55 - 20.95
0.9m = 264.6
m = 264.6/0.9
m = 294 miles
