Well... you don't necessarily need to get the cosine value, in order to get the double angle
Let the original volume be pi *r^2* h where r = radius and h = height.
The new volume will be pi *(2/5 r)^2 * 4h = pi*4/25 r^2 4h
pi*4/25r^2 * 4h / pi r^2 h = 4/25 * 4 = 16/25
The volume has been reduced by factor of 16/25.
Answer:
True.
Explanation:
We take the analogy from the graph of y = ax^2
When y = x^2, the parabola opens upward (towards the positive y-axis). However, when the parabola is y = -x^2, it opens downward (towards the negative y-axis).
In a similar way, when we have x = ay^2, the parabola opens towards the positive x-axis ( towards the right). However, if we have x = -ay^2, then the parabola opens towards the negative x-axis ( towards the left).
Therefore, by comparison, x = - 1/8 y^2, opens to the left, and the correct option to choose is 'True'.
Answer:
Constant,80ft/s
Step-by-step explanation:
I hope this is correct and have a great day
Answer:
(b) 80/3π in³
Step-by-step explanation:
The volume of a circular cone is given by ...
V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height
Your cone has r = 4 inches and h = 5 inches, so its volume is ...
V = (1/3)π(4 in)²(5 in) = 80/3π in³
The volume of the cone is exactly (80/3)π cubic inches.
