Answer:
11.781 cubic inches (round accordingly)
Step-by-step explanation:
The formula for the volume of a cone is:
where r is the radius and h is the height.
For our ice cream cone:
d = 3 inches
r = 1.5 inches (the radius is half of the diameter)
h= 5 inches
So all we have to do is plug in our values and solve for the volume:
So our final answer is around 11.8 cubic inches.
Answer:
(x -6)^2 +(y -3)^2 = 2
Step-by-step explanation:
The midpoint (C) is the center of the circle:
C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)
A circle with center (h, k) that goes through point (a, b) can be written as ...
(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2
Using the values for this problem, we get ...
(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2
(x -6)^2 +(y -3)^2 = 2
Answer:
Step-by-step explanation:
Move all terms to one side
4x^2 + 4x + 5 = 0
Plug into quadratic formula
x = (-4 <u>+</u> ) / 2(4)
= (-4 <u>+</u> )/8
At this point, there are no real answers. The roots to this equation are complex.
x = (-4 <u>+</u> 8i)/8
= (-1 <u>+</u> 2i)/2