Answer:
Option 4. 256 - 64π is the correct option.
Step-by-step explanation:
In the given picture a square is circumscribed about a circle with a side = 2r
where r is the radius of the circle.
Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²
Now area of the circle = πr² = π × 8² = 64π in²
Now area of region that is inside the square and outside the circle =
Area of square - area of circle = (256 - 64π) in².
Therefore the answer is (256 - 64π).
The first two options imply that x can be somewhere *between* -2 and 4, which clearly isn’t the case. Looking at the two sections graphed, we see that x can be less than, but not equal to, -2 (indicated by the hollow dot at -2) and greater than *or* equal to 4 (indicated by the solid dot at 4). The third option is the only one that describes this situation.
I think that will be 1000
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11
Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.
We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II
Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11
Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22
Hope this helps :)
