Answer:
Area of the region = 15.03 in²
Step-by-step explanation:
Area of region between a regular hexagon with sides 6" and circle inscribed.
So Area of region = Area of regular hexagon - area of circle
Now area of regular hexagon = 
where a = side of the hexagon = 6"
Now area of regular hexagon = 
= 93.53 square in.
Area of circle inscribed = πr²
Here r is the radius of the circle = 
r = 5"
So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.
Now area of region = 93.53 - 78.5 = 15.03 in²
Answer:
y = 10x + 8
Step-by-step explanation:
1. The slope-intercept form of an equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Since we're given the value of slope and y-intercept, we just have to plug in those values to it's corresponding variable.
- 10 = m, and 8 = b.
- y = 10x + 8
Answer:
The sum of the interior angles in a triangle is always 180. So, if two angles sum up to 136 degrees, the remaining angle must complement to 180, and it must be
180-136=44
degrees
Step-by-step explanation:
2((x+2)(x+2)}-4=28
2{x^2 + 4x + 4}-4=28
2x^2 +4x=28
2(x^2+2x)=28
x^2+2x=28/2
x^2+2x=14
