The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
<h3>The distance from the point of departure?</h3>
The given parameters are:
- Distance east = 40 milies
- Distance southwards = 70 miles
- Angle = 12 degrees
See attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
brainly.com/question/24142612
Form the intersection for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∩ N = {0, 6, 7, 8, 9, 10} {Ø, 6, 7, 8, 9, 10} {6, 7
antoniya [11.8K]
Answer: The empty set { } which can be represented by the symbol 
Why is this the answer? Because there is nothing inside set M. Set M is itself the empty set. Intersecting the empty set with any other set leads to the empty set again.
Answer:
Step-by-step explanation:
Given that an investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60.
Correlation coefficient is the measure of association and a positive value implies that increase in one value causes increase in the other.
Hence out of the given options correct ones are
c) The more an athlete weights, on the average the more he weights.
d) The more an athlete can lift, on the average the more he weighs.
e) 60% of athlete's lifting ability can be attributed to his weight alone.
Answer: B
Step-by-step explanation:
The answer would be be B)2. The ratio of circles to squares is 2 to 1
