Cos 90° = 1
Step-by-step explanation:
Cos 90° = 1, Because The angles are complements
<span>The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10.
We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time.
So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.</span>
Answer:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
Average speed =
miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = 
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
=
=
miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered =
miles
Total distance covered by me =
miles
Total time taken to cover this distance = 
=
hours
Therefore, expression for the average speed will be,
Average speed = 
= 
=
miles per hour