The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)
Here r=7csc(θ)
so
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ)
y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7
therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
The volume of the pipe is about 282.6 cubic feet.
First, we need to find the area of each circular cross section and subtract them to find the width of the pipe. The area of a circle is pi(r^2).
pi(3^2) - pi(2^2)
28.26 - 12.56 = 15.7
The width of the pipe is 15.7. Now, multiply that by 18 to find the volume.
15.7 x 18 = 282.6
Answer:
25 x 1053 / 6 = 4387.5
Step-by-step explanation:
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 7 ) ← 2 points on the line
m = 
= 
= 
= -
Answer:
7.71
Step-by-step explanation:
The diameter is 3, so the arc length is 180/360 * 3pi or 3pi/2. Now you add the 3 in the base, so it is 3pi/2 + 3 or approximately 7.71 (I used a calculator for that).
