Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y/change in x
= (8-5)/(5-2)
=3/3
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.
AED is adjacent to 44 and these two angles are supplementary, meaning they sum to 180 so...
AED=180-44=136°
So there is 15 different outcomes which we want 6 of them 2, 3, 5, 7, 11 all prime numbers so a 6/15 chance we’d pull a prime number
6/15 or 40% chance we’d pull a prime number out of the bag
Answer:
i think it would be 12.4 sugar needed for a batch