thank me the answer is x=3.6
The angles of a triangle add up to 180 degrees
180 - 80 = 100
Both of the unknown angles are the same. So...
100/2= 50
X = 50 degrees
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:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
Answer:
1. 10%
2. 49.1%
Step-by-step explanation:
1. The percent of voters who are other is the number of other divided by the total number of voters.
The number of "other" votes is 222. The number of total votes is 2,222.
The percent is 222/2222 = 0.0999. Times the decimal by 100 for the percent.
0.0999*100 = 9.99% rounds to 10%.
2. The probability is found by finding the number of male and registered as democrat, which is 600, and dividing it by the number of males, which is 1,222.
600/1,222 = 0.4909
Multiply by the decimal by 100 to find the percent.
0.4909*100 = 49.09 which rounds to 49.1%.