The answers D, the explanation is that it’s basically common sense just look for the same numbers and make it make sense :)
To evaluate this function, we use the calculator. We change the setting to radian first because we are using pi and thensimply input the cosine of 7 pi over 8. Then we square the answer. <span>We expect this number to be less than 1. </span>The function value is 0.8536.
Using it's concepts, the average speed and the average velocity are given as follows:
- Average speed: 40 miles per hour.
- Average velocity: 0 miles per hour.
<h3>Average speed</h3>
The average speed is given by the quotient between the total distance traveled and the time taken, that is:
Average speed = total distance/time
In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:
Average speed = 60/1.5 = 40 miles per hour.
<h3>Average velocity</h3>
The average velocity is given by the quotient between the displacement and the time taken, that is:
Average velocity = displacement/time
The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.
More can be learned about speed and velocity at brainly.com/question/4931057
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P(5 on one throw) = 1/8
expected number of 5's in 400 throws = 1/8 * 400 = 50
To solve this, you need to subtract 180 from 400: (400-180=220). After that (I used the fraction/proportion/variable way, but there are others), so 220/400=%(p)/100. Multiply diaganolly, so 400*p=400p, which is equal to 220*100=22000. Therefore, 400p=22000. Now, you have to isolate the variable by dividing both sides by 400: 400p/400=p, and 22000/400=55. Therefore, p=55, or %=55, so the answer is 55%, or C.