Answer:
Step-by-step explanation:
Find the area of the rectangle. A = length * width
Find the area of each circle. A = π*radius*radius
Subtract the area of each circle from the area of the rectangle.
A = length * width
A = (3+6+9+12) * 18
A = 30 * 18
A = 540 square inches
Bottom circle
A = π * radius * radius. (radius is 1/2 of the diameter)
A = 3.14 * 6 * 6
A = 133.04 square inches
Middle circle
A = π * radius * radius
A = 3.14 * 4.5 * 4.5
A = 63.59 square inches
Top circle
A = π * radius * radius
A = 3.14 * 3 * 3
A = 28.26 square inches
Subtract the circles from the rectangle.
540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.
Answer:
4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.
Step-by-step explanation:
The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier. Well what value is .194 lighter and .194 heavier? 4.806 and 5.194 respectively. So that means a nickle can be anywhere in that range, which tells us the inequality.
Answer:
equation;
Center (-4,2)
Radius is
Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of
Where (h,k) is center
r is the radius
So first we group like Terms together
Add 7 to both sides
Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem
and
so we have
To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is
So the radius is 3 times sqr root of 3.
the slope should be -1/2, hope this helps!
