Answer:
u take 12 x 10=120+12=132 so the
answer is 132
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
0.86= 86/100 this is because the 6 is in the hundredths place so the denominator is going to be 100<span />
Answer:
The given lines are parallel.
Step-by-step explanation:
In the question, two lines are given as line 1 passes through (0,6) and (3,-24). Whereas, line 2 passes through (-1,19) and (8,-71).
It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.
To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel
Step 1 of 2
Find the slope of first line.

Step 2 of 2
Find the slope of first line.

Since, both slopes are equal.
Therefore, the lines are parallel.