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:
because the gross is the total amount of money they get without the subtraction of taxes that they have to pay
Step-by-step explanation:
Answer:
(-5, 2) is the center; the radius is 2.
Step-by-step explanation:
Compare the given (x+5)2+(y-2)2=4 to:
(x+5)^2+(y-2)^2=4
(I have used the symbol " ^ " to denote exponentiation.
Now compare this result to:
(x - h)^2 + (y - k)^2 = r^2
From this comparison we see that h = -5, k = +2 and r^2 = 4.
Thus, we conclude that the center of this circle is at (h, k): (-5, 2), and that the radius is 2.
The first box is 3 more than the quotient of 6 and a number, the second is 6 less than the product of 3 and a number, the third box is the product of 6 and the sum of a number and 3.
Answer:
Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit of measurement)
Step-by-step explanation:
The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)
So , let's solve the integral of f(x)
Area =
+C
C=0
So if we evaluate this function in the given segment:
Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2
Goos luck!