Answer:
Step-by-step explanation:
A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.
Displacement in vector form
= 28 cos43 i + 28sin43j
= 20.47 i + 19.1 j
The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E
Displacement
= 15 cos47 i - 15 sin47 j
= 10.22 i - 10.97 j
Total displacement
= 20.47 i + 19.1 j + 10.22 i - 10.97 j
= 30.69 i - 8.13 j
Magnitude of displacement
= 31.75 miles
Angle with east direction
TanФ = - 8.13 / 30.69
Ф = 15 degree south of east.
Answer:
Angle LKM is 110
Step-by-step explanation:
Since all the angles in a triangle equal 180, and 60 is one angle you can see its an equilaterial triangle.
so x=60
Then 3(60)-70=110
So LKM=110
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5
3x/5-0.5 = 1.9
+0.5 +0.5
————————
3x/5 = 2.4
x5 x5
___________
3x = 12
x = 4
