4 2/3 / 1/16 =
14/3 • 16 =
224/3 =
74 2/3
She can't make a dress out of 2/3 material so she can only make 74 dresses
Answer:
500
Step-by-step explanation:
Well you find one tenth of a number by dividing it by 10
So to do the opposite, you can do 50*10 which is 500
Or if you really wanted to you could go through each option dividing them all by 10 till you got 50
The other factor would be 9x
Answer:48
Step-by-step explanation:
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.
