Half the length of the curve which separates the 2 halves = 1/2 circumference of a circle with diameter 6 mm. = 1/2 * pi * d = 3pi mm
So the length of the line = 6pi = 18.85 mm to nearest hundredth. answer
The area of shaded region = 1/2 area of the circle = 1/2 pi r^2
= 1/2 * pi * 6^2
= 56.55 mm^2 to nearest hundredth answer
Answer:
g/cm²
Step-by-step explanation:
First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3
B = 100 cm²
h = 6 cm
V = 100 cm² * 6 cm /3
V = 600 cm³ /3
V = 200 cm³
Next, we need to solve for the density based on the desired volume and mass.
m = mass = 300 g
V = volume
density = m/V
density = 300 g / 200 cm³
density = 3/2 g/cm³
The lowest possible density of the material to make the paperweight would be
g/cm²
-- The area of the long skinny piece on top is (6 x 33) = 198
-- The length of the dotted line between the top and bottom pieces is (33-21) = 12
-- The area of the bottom piece is (12 x 15) = 180
-- The area of the whole thing is (198 + 180) = 378
-- The perimeter of the whole thing is (33 + 6 + 21 + 15 + 12 + 15 + 6) = 108
Answer:

Step-by-step explanation:
The given function is
.
When we compare to
, we have
and c=10
The equation of the axis of symmetry of a vertical parabola is:

Also from the question the axis of symmetry is x=6
We substitute the values to get:



