The first one- the rest don’t add up
Answer:
V = 91π / 6
Step-by-step explanation:
When we revolve the region about y = 2, we get a cylindrical shape on its side. If we slice the shape into concentric shells, then each shell will have a radius of 2 − y, a thickness of dy, and a length of 7 − x. The volume of the shell is:
dV = 2π r h t
dV = 2π (2 − y) (7 − x) dy
x = 7y², so:
dV = 2π (2 − y) (7 − 7y²) dy
dV = 14π (2 − y) (1 − y²) dy
dV = 14π (2 − 2y² − y + y³) dy
The total volume is the sum of all the shells from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ 14π (2 − 2y² − y + y³) dy
V = 14π (2y − ⅔ y³ − ½ y² + ¼ y⁴) |₀¹
V = 14π (2 − ⅔ − ½ + ¼)
V = 91π / 6
Answer:
Just remember that straight lines are always 180° (a + b = f)
Step-by-step explanation:
Assuming the triangle is equiangular and equilateral, a b and c are the same, so they are interchangeable.
f + c = 180 becuase it is a straight line. you can switch out c with a because they are the same. So:
f+a=180
(switch out with b)
f+b=180
GUESSING this is equiangular, a and b must add up to 120 because they are are both 60.
If a line is 180 degrees and c is 60 (same as a and b) then f will be 180-60 which is 120. 120 is the same as the sum of a and b, so you could write:
a + b = f
Exaxt form
-5.45*10^4
Decimal Form
-54500
Answer:
The number of pools clean per hour is 1.5
Step-by-step explanation:
Given as :
The number of pools clean in 8 hours = 12
The number of pools clean in 7.5 hours = 9
Let The number of pools they clean per hours = x
I.e x = +
Or, x =
Or, x =
∴ x =
I.e x = 1.5
Hence The number of pools clean per hour is 1.5 Answer