Answer:
triangular prism = empty cylinder + empty cylinder.
Step-by-step explanation:
by replacing the two empty cylinders with a triangular prism, we balance the mobile.
Therefore option D is the answer.
Answer:
y = -1/2
Step-by-step explanation:
First distribute.
8y - 8y + 8 = 6 - 16y + 4 - 10
8 = -16y
Divide by -16.
y = -1/2
Answer:
The equation of the line is y - 16 = 3(x - 3)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (16 - 4)/(3 - -1)
m = (16 - 4)/(3 + 1)
m = 12/4
m = 3
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 16 = 3(x - 3)
The curved dome has the area of half a sphere with radius 8 in. That is
... A = 2πr² = 2π(8 in)² = 128π in²
The lateral area of the cylinder is
... A = 2πrh = 2π(8 in)(7 in) = 112π in²
The area of the flat base is
... A = πr² = π(8 in)² = 64π in²
Then the total area of the figure is
... (128π + 112π + 64π) in² ≈ 304·3.14 in²
... = 954.56 in² . . . . matches the 2nd selection
