Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
Answer: 6.25
Step-by-step explanation:
32 x 74 = 2368
23 - 72 = -49
2368 + 49 = 2417
2417 = ?
Answer:
3,406.5 litres/hr
Step-by-step explanation:
The liquid is being poured at a rate of 15 gallons per minute.
1 minute = 1/60 hour
Thus, the rate can be written as:
15 gallons pet 1/60 hour
We are told that one gallon is approximately 3.785 liters.
Thus;
15 gallons = 15 × 3.785 litres = 56.775 litres.
Thus, the rate is;
56.775 litres per 1/60 hour
We want to find in litres/hr.
By proportion, we have it as;
(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr
Answer: 8
Step-by-step explanation:
See the image