So all the angles on one side should equal 180.
50+55= 105
180-105=75
12x+3=75
12x=72
12*6=72
x=6
<span>N(t) = 16t ; Distance north of spot at time t for the liner.
W(t) = 14(t-1); Distance west of spot at time t for the tanker.
d(t) = sqrt(N(t)^2 + W(t)^2) ; Distance between both ships at time t.
Let's create a function to express the distance north of the spot that the luxury liner is at time t. We will use the value t as representing "the number of hours since 2 p.m." Since the liner was there at exactly 2 p.m. and is traveling 16 kph, the function is
N(t) = 16t
Now let's create the same function for how far west the tanker is from the spot. Since the tanker was there at 3 p.m. (t = 1 by the definition above), the function is slightly more complicated, and is
W(t) = 14(t-1)
The distance between the 2 ships is easy. Just use the pythagorean theorem. So
d(t) = sqrt(N(t)^2 + W(t)^2)
If you want the function for d() to be expanded, just substitute the other functions, so
d(t) = sqrt((16t)^2 + (14(t-1))^2)
d(t) = sqrt(256t^2 + (14t-14)^2)
d(t) = sqrt(256t^2 + (196t^2 - 392t + 196) )
d(t) = sqrt(452t^2 - 392t + 196)</span>
The key to solving this question is first knowing how many cubic cm are in one cubic m:
The ratio is always 1000000 cubic cm in 1 cubic meter.
Knowing this, we calculate how many cubic cm are in 5 cubic meters!
<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
x </span>cubic cm 5 cubic m
x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
x = 5<span>000000 cubic cm
Hope this helps!
Feel free to message me if you have any questions :)</span>
Answer:
the slope is 1
Step-by-step explanation:
you could just leave it as x in the equation
Answer:
1 3/5
Step-by-step explanation:
The distance between 1 and 2 is 5 units. Therefore, Point D is 3/5 of the way to 2.
