Answer:
i^16 = 1
Step-by-step explanation:
i = √-1 = i
i^2 = i * i = (√-1)^2 = -1
i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i
i^4 = i^2 * i^2 = -1 * -1 = 1
the order keeps following......
i^16 = 1
since i^16 is same thing as i^4 * i^4
and we know i^4 = 1 so 1*1=1
Answer:
Therefore the required value of x,

Step-by-step explanation:
Given:
ΔBC is a Right Angle Triangle at ∠ B = 90°
As ∠ B = 90° , AC will be the Hypotenuse
AC = 10 = Hypotenuse
BC = y = Longer leg ( say )
AB = x = Shorter leg ( say )
To Find :
x = ?
Solution:
In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

Substituting the given values we get

Therefore the required value of x,

If you sketch the triangle, you need to understand that 12 is the length of opposite side (opposite to theta). Then the longest side is 13 is the hypotenuse. The other side with length 5 is the adjacent side. Thus from the definition of sin(theta)=opposite side/hypotenuse=12/13. A question for you, what is cos(theta)? cos(theta)=5/15 and tan(theta)=12/5
The first one is 64. The second one is -64. Third is 10000
Answer:
n * 2 - 3
Step-by-step explanation:
Let's say n is the number of minutes Mike ran then the expression would be
n * 2 - 3