Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
Answer:
Step-by-step explanation:
Write an equation of the line in slope intercept form that passes through (3, 1/2) and has a slope of 4.
<span>F=(m*V²)/r
</span>F=centripetal force
m=mass of the object going in a circle
v=object´s velocity
r=radius of circle of curve
m=2000 Kg
v=25 m/s
r=80 m
F=[2000 Kg*(25 m/s)²] / 80 m=15625 N
<span>answer is 15625 N </span>
Answer:
I think it's B
Step-by-step explanation: