Answer:
Step-by-step explanation:
Start by doing a much simpler problem
One
i^0 = 1
i^1 = i
i^2 = i^2 = - 1
i^3 = i^3 = (-1) * i = -i
i^4 = i^4 = (i)^2 * i^2 = -1 * -1 = 1
So now you are ready to tackle the question you were given.
Two
Every 4th power of i repeats itself. You must get one of the four answers above.
So divide 5689 by 4. What do you get?
1422.25
What does that mean?
It means that you run through the cycle of four 1422 times. What does that mean?
1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 ....................................*1
There are 1422 ones in that expression.
What about the 0.25? What about that?
That means that you have one i left over.
So the answer is i
Three
The simple question defines the pattern which will repeat itself over and over again. By knowing how the simple pattern works you can develop any power of i. For example
i^15622 =
3905.5
0.5 is the same as 2/4
i^2 = -1
i^15622 = - 1
Answer:
95 in.²
Step-by-step explanation:
Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle
Area of triangle = ½*base*height
base = 5 in.
height = 7 in.
Area of triangle = ½*5*7 = 17.5 in.²
Area of rectangle = Length*width = 5*5 = 25 in.²
Plug in the values
Total surface area of the rectangular pyramid = 4(17.5) + 25
= 95 in.²
Answer:
279 feet
Step-by-step explanation:
To find x, we solve using the Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = 64°
Length of the shadow = Adjacent = 136 feet
Height of the building = Opposite = h
Hence,
tan 64 = h/136 feet
Cross Multiply
h = tan 64 × 136 feet
h = 278.84132245 feet
Approximately, h to the nearest foot ≈ 279 feet
Therefore, the height of the building = 279 feet
