Answer:
a) D(t) =
b) 178.885 miles
Step-by-step explanation:
Ship A travels north at the rate of 20 mph.
Ship B travels east at the rate of 40 mph.
After t hours, Ship A is at a distance of 20t miles from the origin.
Similarly, Ship B is at a distance of 40t miles from the origin.
(a) Distance D(t) =
=
=
=
(b) Distance between the two ships when t = 4,
=
= miles
= 80 * 2.236
= 178.885 miles
Answer:
∠ N = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
6x + 1 + 3x - 10 + x + 19 = 180, simplifying
10x + 10 = 180 ( subtract 10 from both sides )
10x = 170 ( divide both sides by 10 )
x = 17
Thus
∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°
Answer:
80, 95, 110, 125, 140
Step-by-step explanation:
1. Add a positive integer by moving to the right on the number line.
2. Add a negative integer by moving to the left on the number line.
3. Subtract an integer by adding its opposite.