A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)
The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi
the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles
It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
Answer:

Step-by-step explanation:
Given: E, F, G, H denote the three coordinates of the area fenced
To find: coordinates of point H
Solution:
According to distance formula,
length of side joining points
is equal to 
So,

Perimeter of a figure is the length of its outline.

Put 

This is true.
So, the point
satisfies the equation 
So, point H is
.
Answer:
Answer and explanation with steps are in the following attachments
Step-by-step explanation:
507/17576 or 0.0288
you take all the probabilities separate then multiply them all together. Then Simplify
Answer:
Area = 114
Step-by-step explanation:
We first must find the area of the larger outside rectangle.
Area = length × width
15 × 8 = 120
Then we find the area of the smaller inside rectangle.
4 × 1.5 = 6
Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.
120 - 6 = 114