Answer:
Part (A) The required volume of the column is
.
Part (B) The volume be
.
Step-by-step explanation:
Consider the provided information.
It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.
Also One vertex of the square lies on L.
Part (A)
Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.
This square moves a distance h along L, and generate a corkscrew-like column with square.
The cross section will remain the same.
So the cross section area of original column and the cross section area of twisted column at each point will be the same.
The volume of the column is the area of square times the height.
This can be written as:

Hence, the required volume of the column is
.
Part (B) What will the volume be if the square turns twice instead of once?
If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.

Hence, the volume be
.
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line
Answer:
65°
Step-by-step explanation:
A triangle always will ad up to 180°. Therefore, if you subtract 130° from 180° you'll probably get 50° but that's the closest one to it.
Hope this helps :)
Answer:
16.9659
Step-by-step explanation:
you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius
Answer:
D. 113.04 square inches
Step-by-step explanation:
d=12 inches
r=d/2
r=12 inches/2
r=6 inches
A=
r^2
A (approx.)=(3.14)(6 inches)^2
A (approx.)=(3.14)(36 inches)
A (approx.)=113.04 square inches