Answer:
Area of the fabric = 175 square inches
Step-by-step explanation:
Area of a trapezoid = (b1 + b2)/2 * h
Where,
b1 = 16 inches
b2 = 9 inches
h = 14 inches
Area of a trapezoid = (b1 + b2)/2 * h
= (16 + 9)/2 * 14
= 25/2 * 14
= 12.5 * 14
= 175 square inches
Area of the fabric = 175 square inches
Answer:
y= 3x+ 1
Step-by-step explanation:
-3x + 2y =2
+3x +3x
---------------------
2y = 3x +2
----- --------
2 2
y = 3x + 1
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.
The four quadrants and the sign of coordinates is given as follows:
Quadrant I : (n, n ) both x and y positive.
Quadrant II : ( -n,n) = x negative and y positive.
Quadrant III : ( -n,-n) = both x and y negative.
Quadrant IV: (n, -n) = x positive and y negative.
So Based on the above concept , we can say that vertex C (-n,-n) has both x and y negative and so it lies in quadrant III.
Answer is Vertex C (-n,-n)
Answer:
D=8p
David (d) is equal to 8 times the number of photographs Gary (p) has.
Step-by-step explanation:
