You are on a fishing boat that leaves its pier and heads east. After traveling for 24 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S40°W for 13.5 miles. The pier is labeled point A, the turning point is labeled point B, and the ships current position is labeled C. Line segment A B lies on the east/west line where A is to the left of B and is labeled 24 miles. Line segment B C is 40 degrees west of south and is labeled 13.5 miles. Line segment C A is labeled b. There is a compass rose where north is up. 40 degrees 13.5 24 a. At this time, how far are you from the boat's pier? b. What bearing could the boat have originally taken to arrive at this spot?

(a)18.49 Miles

(b) or

Step-by-step explanation:

(a)From the diagram, Angle B=50 degrees.

The distance of the boat at C from the boat's pier at A is the line AC.

We solve for AC using the Cosine rule.

The distance of the boat from the pier is 18.49 miles.

(b)The bearing the boat could have originally taken to arrive at this spot is the bearing of C from A.

to calculate this, we find first the Angle at A.

Using Sine rule

Therefore the bearing of C from A

In Compass Bearing

Bearing of C from A

The boat could have originally taken a bearing of degrees to arrive at C.

g

step-by-step explanation:

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example,  57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?