Answer:
30 miles
Step-by-step explanation:
Let d represent the distance to the island. The relation between time, speed, and distance is ...
time = distance/speed
so the total time for the round trip is ...
d/15 +d/10 = 5
Multiplying by 30, we get
2d +3d = 150
d = 150/5 = 30
The island was 30 miles from the harbor.
Answer:
4 / 20 (1 / 5)
20%
Step-by-step explanation:
The experimental probability is what actually happens in an experiment (as opposed to an authentic probability calculated from genetics).
In this experiment, there are 3 outcomes with :
3 tails and 1 head
(tails represent female, head represent male)
So, 4 / 20 of the time, this coin flip was what we call a "success" (meaning that it matches the guidelines that we want)
4 / 20 = 20% of the time
So, the probability of a group of 4 puppies being 3 females and 1 male is :
4 / 20 (1 / 5)
20%
The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
<h3>Solving trigonometry identity</h3>
If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;
Cos120 = cos(90 + 30)
Using the cosine rule of addition
cos(90 + 30) = cos90cos30 - sin90sin30
cos(90 + 30) = 0(√3/2) - 1(0.5)
cos(90 + 30) = 0 - 0.5
cos(90 + 30) = 0.5
Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
Learn more on unit circle here: brainly.com/question/23989157
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The answer is option 4, (-1,2)
