When multiplying numbers with exponents, add the exponents.
So the answer is 2^-16
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.
Answer:
5 m
Step-by-step explanation:
A model car is made to a scale of 1:50 (model: real).
If the model has a length of 10 cm, calculate the length of the real car (answer in meters).
We have a scale of :
model: real = 1:50
The model has a length of 10cm
Hence:
1 cm = 50 cm
10 cm = x cm
Cross Multiply
x cm × 1cm = 10 cm × 50 cm
x cm = 10 cm × 50 cm/1cm
x cm = 500 cm
The length of the real car is 500cm
Converting the length of the real car to meters
100cm = 1 m
500 cm = x m
Cross Multiply
100cm × x m = 500 cm × 1 m
x m = 500 cm × 1 m/100 cm
x m = 5 m
The Length of the real car in meters is 5m
