James runs 1 mile every 2 min. How many miles does he run every 3 mins?
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
(0,0),(2,16)
slope = (16 - 0) / (2 - 0) = 16/2 = 8
y = mx + b
slope(m) = 8
and since the line goes thru the origin, the y int is 0
in y = mx + b form, the slope is in the m position and the y int is n the b position....so ur equation is :
y = 8x + 0 which can be written as y = 8x <==
The number is (2√3) / 3
To find the missing number, convert what it says in words to an equation:
Divide both sides by 15:
Take the square root:
Answer:
Hence dimension on drawing= 12 in by 6.4 in
Step-by-step explanation:
Actual dimension of the soccer field is 120 ft by 64 ft
Scale during drawing = 1in to 10 ft
Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in
