For this case we have that the surface area of the prism is given by:
Where:
: Is the lateral area
B: It is the area of the base
Where:
Q: It is the perimeter of the base
h: It's the height
On the other hand:
So, we have:
Answer:
Answer:
Step-by-step explanation:
Let us assume that the eagle's elevation is 100 meters above.
We can multiply -14.2 by 0.8.
We now get -11.36.
We can add this to (-14.2*4).
We now get -11.36 + -56.8.
We can add those together to get the answer.
-11.36 + -56.8 = -68.16.
Then we can add that to 100 (since it is negative).
100 + (-68.16) = 31.84.
The eagle's elevation would be 31.84 meters if its starting position was 100 meters, meaning that the equation would be (a - 68.16).
The answer is C! For point "M" to move 180 degrees it has to move left as it's positioned on the right side for now. This eliminates answers A and D. Now, be sure to pay attention the trapezoid. Normally when shapes rotate 180, they completely flip and their coordinates are now located at different sides. Also, it is located at the "half-way mark" you can say. The answer is not B as the shape moved 270 degrees. Hope this helped :))
Let z = √3 + i. Compute the modulus and argument of z :
|z| = √((√3)² + 1²) = √4 = 2
arg(z) = arctan(1/√3) = π/6 = 30°
Then
z = √3 + i = 2 (cos(30°) + i sin(30°))
