Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Answer:
42
Step-by-step explanation:
Angle ABD = Angle CBD + Angle ABC
You know ABD is 70, CBD and ABC are in terms of x
70 = 5x + 13 + 3x + 33
70 - 13 - 33 = 8x
24 = 8x
3 = x
Replacing x in Angle ABC:
3 * 3 + 33 = 42
The area of a parallelogram is base multiplied by height and therefore 18/2 and there you go.
Answer:
The probability that he picked 2 purpled socks is <u>0.33</u>.
Step-by-step explanation:
Given:
Number of purple socks, 
Number of orange socks, 
Two socks are picked without replacement.
Now, total number of socks, 
Probability of picking the first cap as purple cap is given as:

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.
Therefore, probability of picking the second cap as purple cap is given as:

Now, probability that both the picked caps are purple is given by their probability product. This gives,

Therefore, the probability that he picked 2 purpled socks is 0.33