B+133=180
b=47
and 80+a+b=180
80+a+47=180
a=180-127
a=53
What do you need help with on it?
Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
The range is the output, which would be the Y value.
The Y value would be calculated based on the input value for x.
any positive number raised to any value of x would be a positive number so 0.5^x would always be positive.
That would be multiplied by 4, which is a positive value, so the output ( Y value) would always be positive.
The range for this would be (0,∞)
