Answer:
13.73 sq mm
Step-by-step explanation:
Area of Square - Area of Circle = Area of Shaded Region
if radius of circle is 4 then diameter is 8
the diameter is the same as the length of each side of the square
so area of square = 8² or 64
Area of Circle = 16π
64 - 16π ≈ 13.73
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1
Answer:
Yes
Step-by-step explanation:
y is said to be a function of x. where x is the independent variable and y is the dependent variable. The height of the stacks is y and the number of cups in the stack is x, so yes, we can say that the height of the stack is a function of the number of cups in the stack.
Answer:
Expression Chang:
N+6
If N = 60
Then 60+6=66
Chang is 66 inches
Step-by-step explanation:
