<em>Answer:</em>
<em>63°</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>ABCD parallelogram => ∡A = ∡C</em>
<em>13x - 41 = 6x + 15</em>
<em>13x - 6x = 15 + 41</em>
<em>7x = 56</em>
<em>x = 56 : 7</em>
<em>x = 8</em>
<em>∡C = 6×8 + 15 = 48 + 15 = 63°</em>
<em>Good luck !</em>
Answer:
Step-by-step explanation:
6^4*612/6^7
6^4*6^12-7
6^4*6^5
6^4+5
6^9
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.
Answer:
960
Step-by-step explanation:
The simple interest formula is the following:
I = P*r*t
Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.
In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.
So, the interest will be:
I = 4000*0.08*3 = 960
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
