Answer:
It’s triangular prism
Step-by-step explanation:
Answer:
, volume = [(3√3)/2]a2h cubic units
Step-by-step explanation:
The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism.
Answer:
4/3
Step-by-step explanation:
you use slope formula
To find the acceleration of the bicycle rider, we are going to use the acceleration formula:

where

is the acceleration

is the initial speed

is the final speed

is the time
We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore,

,

, and

. Lets replace those values in our formula:



We can conclude that the acceleration of the bicycle rider 1 m/s^2
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed